Answer:
60
Step-by-step explanation:
Find the slope of the line passing through the points (-6, -5) and (4,4).
Answer:
9/10 or 0.9
Step-by-step explanation:
Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run
where
rise = y2 - y1
run = x2 - x1
Given points (- 6, - 5) and (4, 4),
rise = 4 - (-5) = 4 + 5 = 9
run = 4 - ( - 6) = 4 + 6 = 10
Slope = rise/run = 9/10 or 0.9
Which of the following dependent variables would be appropriate outcomes to examine with logistic regression?All of these dependent variables would be appropriate outcomes to examine with logistic regression. Base salary increase (as a percentage of base salary). Bonus amount (in dollars). Bonus eligibility (eligible; not eligible)
All of the given dependent variables would be appropriate outcomes to examine with logistic regression. Logistic regression is used when the dependent variable is categorical, meaning that it falls into distinct categories or groups.
Base salary increase as a percentage of base salary can be converted into a categorical variable based on a specific threshold (e.g., increase vs no increase, increase above a certain percentage vs below). Bonus eligibility is already a binary variable (eligible or not eligible) and would be a suitable candidate for logistic regression. Bonus amount, however, would not be appropriate for logistic regression since it is a continuous variable and cannot be easily converted into categorical data. A regression analysis such as linear regression could be used to examine the relationship between the continuous bonus amount variable and the independent variables.
In the case of the listed dependent variables, "bonus eligibility" is already binary and would be a good candidate for logistic regression. For "base salary increase" and "bonus amount", these variables could be transformed into binary outcomes by setting a threshold value and categorizing the outcome as "increased" or "not increased" or "received bonus" or "did not receive bonus", respectively. With these transformations, both variables could also be analyzed with logistic regression.
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There are 10 coins with total value of $2.50. There are quarters, dimes or nickels. There are as many dimes as nickels. How many coins of each type are there?
Help BRAINLEST to best answer QUICK HELP
40 quarters, 100 dimes total for now is 20$ and if u add 250 nickels, it will be 25$
Hope this helps!
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
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Please help fast urgent request!
Answer:
14.5
Step-by-step explanation:
Fill in the table using this function rule. y=6x + 5
Answer:
11, 17, 29, 65
Step-by-step explanation:
Rrplace x with values on the x colon
Answer:
Column 1 (When x = 1): y = 11
Colum 2(When x = 2): y = 17
Column 3(When x = 4): y = 29
Colum 4(When x= 10): y = 65
Step-by-step explanation:
When x = 1; y = 6(1) + 5
=> y = 6 + 5
=> y = 11
When x = 2; y = 6(2) + 5
=> y = 12 + 5
=> y = 17
When x = 4; y = 6(4) + 5
=> y = 24 + 5
=> y = 29
When x = 10; y = 6(10) + 5
=> y = 60 + 5
=> y = 65
Hope this helps!
select all of the statements that correctly describe the Pythagorean theorem and it’s converse HELP ASAP
Answer:i took this test so i’m pretty sure it’s c and f
Step-by-step explanation:
8th-grade homework and it's about lunches being sold
The school's profit for selling 120 lunches is $210.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
From the graph, we have (50, 0) and (65, 45).
Here, slope(m)= (45-0)/(65-50)
= 45/15
= 3
Substitute m=3 and (x, y)=(50, 0) in y=mx+c, we get
0=3(50)+c
c=-150
Substitute m=3 and c=-150 in y=mx+c, we get
y=3x-150
Put x=120 in y=3x-150, we get
y=3(120)-150
y=210
Therefore, the school's profit for selling 120 lunches is $210.
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"Your question is incomplete, probably the complete question/missing part is:"
The graph shows a school's profit P for selling x lunches on one day.
PART A: What is the school's profit for selling 120 lunches?
11
Enter the correct answer in the box.
In triangle ABC, the side lengths are AB = 13, AC-21, and BC = x. Write a compound inequality that represents the range of possible values for x.
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The compound inequality which represents the range of possible values of x for the given triangle is 8<x<34.
What is triangle?
A triangle is a specific type of polygon which consists of three sides, three angles and three vertices. There are different types of triangle based on different types of base and angles.
In triangle ABC, the side lengths are AB = 13, AC=21, and BC = x.
Here we use the theorem of triangle that describes , the sum of the length of any two sides of a triangle is always greater than the third side.
So at first considering BC as longer side we get,
AB+AC>BC
putting the values we get,
13+21> x
34>x
34>x
Again considering AC as the longer side and again applying the same argument of triangle we get,
AB+BC>AC
13+x>21
x>21-13
x>8
Hence, the compound inequality which represents the range of possible values of x for the given triangle is 8<x<34.
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True or false: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.
True: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.
A regression is a statistical technique that relates a dependent variable to one or more independent (explanatory) variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the explanatory variables
True. Regression calculations involve complex mathematical computations and analyzing large datasets, which can be time-consuming and prone to errors if done manually. Using a computer with specialized software can automate the process, making it faster, more accurate, and efficient.
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A stack of one dozen cookies with diameter of 5in. exactly fits in a cylindrical container of volume 176.715 in^3. which is the thickness of each cookie?
The thickness of each cookie is 0.75 inch.
The cookies are in cylindrical container, hence, the shape of cookies will also be cylindrical. Now, the volume of cylinder is given by the formula : V = πr²h, where V refers to volume, r refers to radius and h represents height.
So, volume of 12 cookies will be equal to the cylindrical container.
Radius of cookies = Diameter÷2
Radius of cookies = 5÷2
Radius of cookies = 2.5 inches
Taking π as 3.14
Volume of a stack of cookies = 3.14×2.5²×h
Volume of a stack of cookies = 19.625h
Relating both the volumes to find the value of h
19.625h = 176.715
h = 176.715 ÷ 19.625
Performing division to find the height
h = 9 inches
So, height of 12 cookies is 9 inches
Height of 1 cookie = 9 ÷ 12
Height of 1 cookie = 0.75 inch
Thus, the thickness of each cookie is 0.75 inch.
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Choose the number sentence whose product is 5.85.
A. 1.7 x 3.5
B. 26 x 2.25
C. 4.5 x 2.3
D. 1.3 x 4.5
Answer:
D
1.3 times 4.5 is 5.85
Answer:
D
Step-by-step explanation:
BRAINLYEST please
An art academy requires there to be 3 teachers for every 60 students 4 tutors for every 48 student how many students does the academy have per teacher per tutor how many tutors does the academy need if it has 72 students
Answer:
per teacher = 20 students
per tutor = 12 students
72 students = 18 tutors
Step-by-step explanation:
Divide 60 by 3 to get 20
Divide 48 by 4 to get 12
Divide 72 by 4 to get 18
A group of students examines a Bohr model of an atom with 8 valence electrons. What conclusion can the students make about the chemical reactivity of the element?
The element is extremely reactive because the outer energy level is full.
The element is nonreactive because the outer energy level is full.
The element is somewhat reactive because the outer energy level is full.
Additional information is necessary to determine reactivity.
the correct statement is: The element is nonreactive because the outer energy level is full.
Due to the element's entire outer energy level, it is possible to infer that the element with 8 valence electrons has no chemical reactivity.
Atoms tend to be most stable when their outer energy level is full, as this configuration satisfies the octet rule. When the outer energy level is complete, atoms are less likely to gain or lose electrons to form chemical bonds with other atoms. This reduces their reactivity.
Therefore, the correct statement is:
The element is nonreactive because the outer energy level is full.
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it can be shown that y1=e3x and y2=e−7x are solutions to the differential equation y′′ 4y′−21y=0 on the interval (−[infinity],[infinity]). find the wronskian of y1,y2 (note the order matters)
The Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.
To find the Wronskian of y1 = e^(3x) and y2 = e^(-7x), we can use the formula for calculating the Wronskian of two functions. Let's denote the Wronskian as W(y1, y2).
The formula for calculating the Wronskian of two functions y1(x) and y2(x) is given by:
W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x)
Let's calculate the derivatives of y1 and y2:
y1(x) = e^(3x)
y1'(x) = 3e^(3x)
y2(x) = e^(-7x)
y2'(x) = -7e^(-7x)
Now, substitute these values into the Wronskian formula:
W(y1, y2) = e^(3x) * (-7e^(-7x)) - (3e^(3x)) * e^(-7x)
= -7e^(3x - 7x) - 3e^(3x - 7x)
= -7e^(-4x) - 3e^(-4x)
= (-7 - 3)e^(-4x)
= -10e^(-4x)
So, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) is W(y1, y2) = -10e^(-4x).
Note that the order of the functions matters in the Wronskian calculation. If we were to reverse the order and calculate W(y2, y1), the result would be the negative of the previous Wronskian:
W(y2, y1) = -W(y1, y2) = 10e^(-4x).
Since the Wronskian is a constant value regardless of the interval (-∞, ∞) in this case, we can evaluate it at any point. For simplicity, let's evaluate it at x = 0:
W(y1, y2) = 10e^(0)
= 10
Therefore, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.
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rcentage of people who completed or more years of college listed by state are the percentages of the population who have completed or more years of a college education. construct a frequency distribution with classes.
The frequency distribution table of the data is illustrated below.
The data we have been given represents the percentage of people who have completed 4 or more years of college education in different states. To create a frequency distribution, we need to first decide on the number of classes we want to use. In this case, we will use 7 classes.
Next, we need to determine the range of values for each class. To do this, we first find the minimum and maximum values in the data set, which are 18.9 and 37.9, respectively.
The range of values for each class will be (max value - min value) / number of classes, which in this case is (37.9 - 18.9) / 7 = 2.86.
We will start with the first class, which will include all values from 18.9 to 21.76 (the lower limit of the first class plus the range of values for each class). The next class will include values from 21.76 to 24.62, and so on, until we reach the final class which will include all values from 33.18 to 36.04 (the upper limit of the final class plus the range of values for each class).
To create the frequency distribution, we count the number of values in the data set that fall into each class. For example, the first class includes values between 18.9 and 21.76, and there are 2 values in the data set that fall into this range (21.4 and 20.0). We continue this process for each class until we have a table that shows the frequency of values in each class.
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Complete Question:
Percentage of People Who Completed 4 or More Years of College Listed by state are the percentages of the population who have completed 4 or more years of a college education. Construct a frequency distribution with 7 classes.
21.4,26.0,25.3,19.3,29.5,35.0,34.7,26.1,25.8,23.4,27.1,29.2,24.5,29.5,22.1,24,3,28.8,20,0,20.4,26.7,35.2,37.9,24.7,31.0,18.9,24.5,27.0
in a tournament there are six teams that play each other twice. a team earns 3 points for a win, 1 point for a draw, and zero points for a loss. after all the games have been played it turns out that the top three teams earned the same number of total points. what is the greatest possible number of total points for each of the top three teams?
The greatest possible number of total points for each of the top three teams is 24.
Given;
Six teams compete against one another twice in a tournament. A team receives three points for a victory, one point for a tie, and no points for a defeat. The top three clubs ended up with the same total number of points when all the games were completed.
After fully understanding the problem, we immediately know that the three top teams, say team A, team B, and team C, must beat the other three teams D, E, F. Therefore, A, B, and C must each obtain (3 + 3 + 3 ) = 9 points. However, they play against each team twice, for a total of 18 points against D, E, and F. For games between A, B, and C, we have 2 cases. There is an equality of points between A, B, and C in the following cases.
Case (I): A team ties the two other teams. For a tie, we have 1 point, so we have (1 + 1) * 2 = 4 points (they play twice).
Therefore, this case brings a total of 4 + 18 = 22 points.
Case (II): A team beats one team while losing to another. This gives equality, as each team wins once and loses once as well. For a win, we have 3 points, so a team gets 3 * 2 = 6 points if they each win a game and lose a game.
This case brings a total of 18 + 6 = 24 points.
Therefore, we use case (II) since it brings the greater amount of points as 24.
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A change jar contains nickels, dimes, and quarters, totaling an amount of $1.90. The amount of nickels is one more than twice the number of dimes. The number of quarters is one-half the total number of nickels and dimes. Find the number of each coin in the change jar.
Answer:
nickel, dimes, and quarters is 7, 3, and 5 respectively
Step-by-step explanation:
moreover, no of nickels =2*3+1=7
Quarter=5
In the equation shown, what is the value of n?
9^7/9^n=9^2
PLEASE HELP
Answer:
n=5
Step-by-step explanation:
All of the bases are 9 so you can set the exponents equal to each other.
Exponents in a fraction mean subtraction so 7-n = 2
-n=-5
n=5
find the area of a figure with 4cm 3 cm and 10 cm
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. (true or false)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.
The above statement is True.
Eigenvalue:
An eigenvalue is a special set of scalar values associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.
According to the Question:
If the geometric multiple of the eigenvalues is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.
Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is
Ax = λx.
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Solve for x: 0.75x + 3 = 6 (x - 3
I need to show my work
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)(Distribute)
0.75x+3=6x+−18
0.75x+3=6x−18
Step 2: Subtract 6x from both sides.
0.75x+3−6x=6x−18−6x
−5.25x+3=−18
Step 3: Subtract 3 from both sides.
−5.25x+3−3=−18−3
−5.25x=−21
Step 4: Divide both sides by -5.25.
−5.25x/-5.25 = -21/-5.25
Answer: x=4
The value of x from the given equation is 4.
The given equation is 0.75x + 3 = 6 (x - 3).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solve for x as follows:
0.75x + 3 = 6x - 18
⇒ 6x-0.75x = 3+18
⇒ 5.25x=21
⇒ x=21/5.25
⇒ x=4
Therefore, the value of x from the given equation is 4.
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A computer has generated one hundred random numbers over the interval 0 to 1. What is the probability that exactly 20 will be in the interval 0.1 to 0.35
The probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.
To solve this problem, we need to use the binomial probability formula:
\(P(X = k) = (n choose k) p^k ( (1 - p)^{n-k}\)
where:
- X is the random variable representing the number of successes (random numbers in the interval 0.1 to 0.35)
- k is the number of successes we want (exactly 20)
- n is the total number of trials (100)
- p is the probability of success (the probability that a randomly generated number falls in the interval 0.1 to 0.35)
To find p, we need to determine the fraction of the interval 0 to 1 that is between 0.1 and 0.35:
\(p = (0.35 - 0.1) / 1 = 0.25\\p = \frac{0.35-0.1}{1} = 0.25\)
Now we can plug in the values and calculate the probability:
\(P(X = 20) = (100 choose 20) (0.25)^{20} (1-0.25)^{100-20}\)
= 0.0223
Therefore, the probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.
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a report says that the average amount of time a 10-year-old american child spends playing outdoors per day is between 20.02 and 25.36 minutes. what is the margin of error in this report?
The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :
To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67
Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
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PLEASE QUICK HELP ME
Answer:
x = 115°
Step-by-step explanation:
Line a and line b are parallel lines
x° and the angle with measure 115° are alternate exterior angles so they have same measurement and each is 115°
PLEASE HELP!!
Use the information to answer the question.
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on
5 mugs at the sale price
What was the price of I mug before the sale?
Answer:
$7.39
Step-by-step explanation:
Answer:
7.39
Step-by-step explanation:
1) 28.20 divided by 5 to get what one mug costs at sale price.
28.20 divided by 5= 5.64
2) then add how much they reduced the price by, 1.75.
5.64+1.75= 7.39
what two nonnegative real numbers with a sum of 34 have the largest possible product? p=
the two nonnegative real numbers with a sum of 34 that have the largest possible product are 17 and 17, resulting in a maximum product of 289.
To find two nonnegative real numbers with a sum of 34 that have the largest possible product, we can use the concept of maximizing the product given a fixed sum.
Let's denote the two numbers as x and y, where x and y are nonnegative real numbers.
We have the constraint that x + y = 34, and we want to maximize the product p = xy.
To solve this problem, we can use the following approach:
1. Express one variable in terms of the other using the given constraint. For example, we can express y in terms of x as y = 34 - x.
2. Substitute the expression for y in terms of x into the expression for the product p = xy to get a single-variable function for p in terms of x.
p = x(34 - x) = 34x - x^2
3. Determine the critical points of the function p(x) by finding where its derivative is zero or undefined.
To find the derivative of p(x), we differentiate p(x) with respect to x:
p'(x) = 34 - 2x
Setting p'(x) = 0 and solving for x gives us:
34 - 2x = 0
2x = 34
x = 17
4. Evaluate the value of p(x) at the critical points and the endpoints of the interval.
p(x) = 34x - x^2
When x = 0, p(0) = 34(0) - (0)^2 = 0
When x = 17, p(17) = 34(17) - (17)^2 = 289
5. Compare the values of p(x) at the critical points and endpoints to determine the maximum value of p(x).
From the calculations above, we can see that the maximum value of p(x) is 289, which occurs when x = 17 and y = 34 - x = 17.
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Select the correct answer. histogram chart. car prices on x-axis. number of cars sold over 10 years on y-axis. x-axis ranges from 0 to 40000. y-axis ranges from 0 to 700. between 20000 and 30000, bars height over 700. between 5000 and 10000, 40000 and 45000, bar height is 200. a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. the salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
The bar height for the price range of less than $5,000 will increase by 200.
In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.
Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.
If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:
The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.
Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.
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a box contains cards numbered 1 - 10. two cards are randomly picked with replacement. what is the probability of picking the card numbered three at least once?
The probability of selecting the card with the number three at least once is 1/10.
Given that,
1 through 10 cards are contained in a box. Two cards are chosen at random and replaced
To find : The probability of selecting the card with the number three at least once?
Probability (3 at first) * Probability (3 at second) + Probability (3 at first) *Probability (others at second) + Probability (others at first) *Probability (3 at second) = 1/10 * 1/0 + 1/10 *9/10 + 9/10*1/10
= 19/100 = 0.19
Here there are 10 cards,
So, probability of picking three is 1/10 and probability of picking others is 9/10
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8.26 cats, part i. the following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). the coefficients are estimated using a dataset of 144 domestic cats
The correlation coefficient is the square root of the coefficient of determination.
A. The linear model is y' = -0.357+4.034x
Where y' is the predicted heart weight and X is the body weight
B. The intercept of -0.357 is actually showing the non existence of the heart weight when the body weight is absent, ie. When X=0
C. The slope indicates that with each unit increase in the body weight x, the heart weight y increases 4.034 times.
D. R^2 = 64.66% indicates that 64.66% variation in the dependent variable that is explained by our model.
E. Given that the coefficient of determination = 0.6466
Thus the correlation coefficient is the square root of the coefficient of determination
Thus, R = √0.6466 = 0.8041
( Since the slope is positive the correlation ought to be positive)
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The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using dataset of 144 domestic cats_ Estimate Std. Error t value Pr(> /tl_ 20 (Intercept _ -0.357 0.692 -0.515 0.607 body wt 4.034 0.250 16.119 0.000 ? 15 1.452 R2 64.66% Radj 64.41% 1 Write out the linear model. [ 10 Interpret the intercept_ Interpret the slope. Interpret R?_ 2.0 Calculate the correlation coefficient 2.5 3.0 3.5 Body weight (kg) 4.0.