Answer:
\(\frac{13}{18}\) (72.22%)
Step-by-step explanation:
For this question, you must get at least one blue block. However, you can also think of it this way: pretend the other seven blocks are red (it does not matter since the colors other than blue do not matter) what is the probability that you do not only get red blocks?
You can calculate the probability that you only get red blocks simply with multiplication rule:
\(\frac{7}{9} *\frac{6}{8} *\frac{5}{7} *\frac{4}{6}\)\(=\frac{5}{18}\)
(not the numbers increment down because they are not replaced)
Then, you use the fact that having red blocks and not having red blocks as a complement to calculate the probability
\(1-\frac{5}{18}\)\(=\frac{13}{18}\)
This is your final answer: 72.22%
If x > 0, what values of c and d make the equations true?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Equation A
\(\sqrt[]{448x^c}=8x^3\sqrt[]{7x}\)Equation B
\(\sqrt[3]{576x^d}\text{ = 4x}\sqrt[3]{9x^2}\)PLEASEEEEEE HELP ME!!! JUST 3 QUESTIONS!!!! WILL CHOSE BRAINLIEST! I NEEDDD THESE BONUS POINTS!!! Instructions at the top! :)
Answer:
1. Perpendicular2. Neither3. ParallelStep-by-step explanation:
Finding slopes of the lines to determine their relationship
1. J(1, 9), K(7, 4), L(8, 13), M(-2, 1)
Slope of JK
m = (4-9)/(7-1) = -5/6Slope of LM
m = (1-13)/(-2-8) = -12/-10 = 6/5These lines are perpendicular as slopes are negative reciprocal
2 J(13, -5), K(2, 6), L(-1, -5), M(-4, -2)
Slope of JK
m = (6-(-5))/(2-13) = 11/(-11) = -1Slope of LM
m = (-1-(-5))/(-4-(-1)) = 4/(-3) = -4/3Lines are neither parallel nor perpendicular
3. J(-10, -7), K(-4, 1), L(-3, 2), M(-6, -2)
Slope of JK
m = (1-(-7))/(-4-(-10)) = 8/6 = 4/3Slope of LM
m = (-2-2)/(-6-(-3)) = -4/-3 = 4/3These lines are parallel as slopes are same
Answer:
1. Perpendicular
2. Neither
3. Parallel
Step-by-step explanation:
complete the table for values for y=x^2-x-2
Answer:
x -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2
Step-by-step explanation:
The given equation is y=x²-x-2.
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 =.
We need to find the y values of the give x values.
Given that, x = -3 -2 -1 0 1 2 3
When x = -3, y = (-3)²-(-3)-2
= 9+3-2 = 10
When x = -2, y = (-2)²-(-2)-2
= 4+2-2
= 4
When x = -1, y = (-1)²-(-1)-2
= 1+1-2
= 0
When x = 0, y = 0²-0-2
= -2
When x = 1, y = 1²-1-2
= -2
When x = 2, y = 2²-2-2
= 0
When x = 3, y = 3²-3-2
= 4
So, the complete table is
х -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2 0 4
There, the y values of the given x values in the given equation is y = 10, 4, 0, -2, -2, 0, 4.
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"Your question is incomplete, probably the complete question/missing part is:"
Complete the table for values for y=x²-x-2
х -3 -2 -1 0 1 2 3
y
The monthly rent of Marilyn’s house went from $500 to $440, If p is the percent decrease in the rent, which proportion can be used to calculate p?
A.
B.
C.
D.
Please help ineed this to pass 42 points if solved
The area of the rectangle as a product of length and width is (6x² + 13x + 6) square units
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
The area of a rectangle is the product of its length and its width. It is given by:
Area = length * width
From the diagram:
Area = 6(x²) + 13(x) + 6(1) = 6x² + 13x + 6 square unit
Also:
Length = x + x + x + 1 + 1 = 3x + 2
Length = 3x + 2 units
Width = x + x + 1 + 1 + 1 = 2x + 3
Width = 2x + 3 units
Area = length * width
Substituting:
Area = (3x + 2)(2x + 3)
Area = 6x² + 9x + 4x + 6 = 6x² + 13x + 6 square units
The area is (6x² + 13x + 6) square units
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in order to fairly set flat rates for auto mechanics, a shop foreman needs to estimate the average time it takes to replace a fuel pump in a car. how large a sample must he select if he wants to be 99% confident that the true average time is within 15 minutes of the sample average? assume the standard deviation of all times is 30 minutes.
The value of n is 25 according to standard deviation in the question.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
s = 30 minutes
C.I. = 99%
mean = 15 minutes
z value for 99% = 2.58
mean = z*s/√n
15 = 2.58 * 30 / √n
√n = 5.06
n = 25
Hence the value of n is 25 .
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Martin has 5/6 of a pizza . Liam has 4 times as much pizza as Martin. How much pizza does Liam has?
Answer:
10/3 pizzaStep-by-step explanation:
step one:
This problem is focused on ratios and fractions
from the problem statement, Martin has 5/6 pizza
Liam has 4 times more of what Martin have
step two:
so we can express what Liam has as
=(5/6)*4 = 20/6or
=5/6+5/6+5/6+5/6= 20/6
= 20/6
step three:
we can reduce both numerator and denominator
= 10/3
Hence Liam has 10/3 pizza
Quantity of pizza that Liam has is;
3 full pizzas and a third of a pizza.
Martin has 5/6 of a pizza.
Thus;
Quantity of pizza that Martin has = 5/6
Now we are told that Liam has 4 times as much as Liam, then;
Quantity of pizza Liam has = 4(5/6) = 10/3
This translates to 3⅓ pizza
Thus, in conclusion, Liam has 3 full pizzas and a third of a pizza.
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Walter and Gordon both proposed a model of share valuation which states the relationship between dividend policies and the market value of the firm. Both models are similar to each other yet have differences. Discuss the similarities and differences of both models using a numerical example.
Both Walter and Gordon's models of share valuation consider the relationship between dividend policies and the market value of a firm. However, Walter's model focuses solely on the dividend payout ratio, while Gordon's model incorporates the firm's cost of equity and expected growth rate of dividends.
The similarities between Walter and Gordon's models of share valuation are that they both consider dividend policies and their impact on the market value of a firm. Both models assume that the market value of a firm is determined by the dividends paid out to shareholders.
However, there are also differences between the two models. Walter's model suggests that the market value of a firm is directly related to its dividend payout ratio. The higher the payout ratio, the higher the market value. This implies that investors value current dividends more than future growth prospects.
On the other hand, Gordon's model takes into account the firm's cost of equity and its expected growth rate. It suggests that the market value of a firm is determined by the dividend yield (dividends per share divided by the share price) and the expected growth rate of dividends. According to Gordon's model, if the firm's expected growth rate increases, the market value will also increase, even if the dividend payout ratio remains the same.
To illustrate the differences between the two models, let's consider a numerical example. Suppose a firm has earnings per share (EPS) of $5, a cost of equity of 10%, and a required rate of return of 12%. The firm pays out 50% of its earnings as dividends and has an expected growth rate of 5%.
According to Walter's model, the market value of the firm would be calculated as:
Market Value = EPS / Required Rate of Return
Market Value = $5 / 0.12
Market Value = $41.67
According to Gordon's model, the market value of the firm would be calculated as:
Market Value = Dividends per Share / (Required Rate of Return - Expected Growth Rate)
Dividends per Share = EPS * Payout Ratio
Dividends per Share = $5 * 0.5 = $2.5
Market Value = $2.5 / (0.12 - 0.05)
Market Value = $35.71
As we can see, the two models yield different market values for the firm. Walter's model values the firm at $41.67, while Gordon's model values it at $35.71. This difference arises because Gordon's model takes into account the expected growth rate of dividends, whereas Walter's model only considers the dividend payout ratio.
In summary, both Walter and Gordon's models of share valuation consider the relationship between dividend policies and the market value of a firm. However, Walter's model focuses solely on the dividend payout ratio, while Gordon's model incorporates the firm's cost of equity and expected growth rate of dividends.
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What is math ?
Please answer in your own opinion I don’t care if it’s a dumb answer or a smart answer this is more of a survey type question it’s for an assignment
Answer:
math is basically how to understand
Step-by-step explanation:
Answer:
Math is a way to view numbers in a more unique and special way. Many people might not like it because they consider it difficult.
Step-by-step explanation:
A cube of side 4 cm is enlarged by a ratio of 3:1
a;what is the volume of:
i;the original cube?
ii;the enlarged cube?
b;By what ratio has the volume been increased.
(EXPLAIN)
a)
i) The original cube has a side length of 4 cm. The volume of a cube is calculated by cubing the length of one side. So, the volume of the original cube is 4 cm x 4 cm x 4 cm = 64 cm³.
ii) The enlarged cube has a ratio of 3:1 compared to the original cube. This means that each side length of the enlarged cube is three times the length of the original cube. Therefore, the side length of the enlarged cube is 4 cm x 3 = 12 cm. The volume of the enlarged cube is calculated by cubing the length of one side: 12 cm x 12 cm x 12 cm = 1,728 cm³.
b) To find the ratio by which the volume has been increased, we can compare the volumes of the enlarged and original cubes. The ratio of the enlarged cube's volume to the original cube's volume is 1,728 cm³ : 64 cm³, which simplifies to 27 : 1.
This means that the volume of the enlarged cube is 27 times greater than the volume of the original cube. Therefore, the volume has been increased by a ratio of 27:1.
Kindly Heart and 5 Star this answer, thanks!I need help!
Answers Choices:
6
-6
1/6
-1/6
^^^^^also this one , the photo above
Answer: 19.9
Step-by-step explanation: because 13 plus 19.9 would equal 32.9
determine whether the series is convergent or divergent. [infinity] n = 1 1 7 e−n convergent divergent if it is convergent, find its sum. (if the quantity diverges, enter diverges.)
The given series is convergent. The sum of the series is approximately 6.096. The given series can be written as Σ(1/(7eⁿ)) from n = 1 to infinity. To determine convergence, we can analyze the behavior of the terms as n approaches infinity.
The general term of the series is 1/(7eⁿ), where e is the mathematical constant approximately equal to 2.71828. As n increases, the exponential term eⁿ grows rapidly, causing the denominator to become very large. As a result, each term of the series approaches zero. This suggests that the series is convergent.
To find the sum of the series, we can use the formula for the sum of an infinite geometric series. In this case, the first term (a) is 1/(7e), and the common ratio (r) is 1/e. The sum (S) can be calculated as S = a / (1 - r).
Plugging in the values, we get S = (1/(7e)) / (1 - 1/e). Evaluating this expression gives us the approximate sum of 6.096.
Therefore, the given series is convergent, and its sum is approximately 6.096.
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What is the value of x in the equation 2.5x = 100?
A. 4
B. 5
C. 40
D. 80
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
x < –9
x > –9
x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction.
x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9
How to find the missing stepThe missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.
After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.
However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.
Dividing both sides by -2:
-2x / -2 > 18 / -2
This simplifies to:
x > -9
Therefore, the correct answer is x > -9.
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Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of yx y x ? Responses A yes; −53 yes; − 5 3 B yes; −23 yes; − 2 3 C The table does not represent a proportional relationship.The table does not represent a proportional relationship. D yes; −
The solution is, B) yes; -2/3, i.e. a proportional relationship exists & -2/3 is the constant ratio of y/x .
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
if it is proportional
then.,
y = kx
so, we get,
-2 = 3 k ⇒ k= (-2/3)
-4 = 6 k ⇒ k= (-2/3)
-8 = 12k ⇒ k= (-2/3)
Hence, The solution is, B) yes; -2/3, i.e. a proportional relationship exists & -2/3 is the constant ratio of y/x .
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a. Give the general form of Bernoullis differential equation. b. Describe the method of solution.
The general form of Bernoulli's differential equation is y' + P(x)y = Q(x)y^n.
Bernoulli's differential equation is a type of nonlinear first-order ordinary differential equation that can be written in the general form:
y' + P(x)y = Q(x)y^n,
where y' represents the derivative of y with respect to x, P(x) and Q(x) are functions of x, and n is a constant. This equation is nonlinear because of the presence of the term y^n, where n is not equal to 0 or 1.
To solve Bernoulli's differential equation, a substitution is made to transform it into a linear differential equation. The substitution is usually y = u^(1-n), where u is a new function of x. Taking the derivative of y with respect to x and substituting it into the original equation allows for the equation to be rearranged in terms of u and x. This substitution converts the original equation into a linear form that can be solved using standard techniques.
After solving the linear equation in terms of u, the solution is then expressed in terms of y by substituting back y = u^(1-n). This gives the final solution to Bernoulli's differential equation.
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Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)
Algebra 1 common assessment unit 2-1 SY23
Answer:
\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)
Pls show your work thank you will mark the Brainliest
The factors of g are (x - 10) and (x + 2), which confirms that the zeros are 10 and -2.
What is Factors?The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.
What is zeroes?The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (-1). The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.
The zeros are 10 and -2, because the factors of g are (x-10) and (x + 2).
To find the zeros, we can set g(x) equal to zero and solve for x:
x² - 8x - 20 = 0
Using the quadratic formula, we get:
x = [8 ± √(8² + 4(1)(20))] / 2
x = [8 ± √144] / 2
x = [8 ± 12] / 2
So, the zeros are:
x = 10 and x = -2
We can verify this by factoring g(x):
g(x) = x² - 8x - 20
g(x) = (x - 10)(x + 2)
So, the factors of g are (x - 10) and (x + 2), which confirms that the zeros are 10 and -2.
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There is three-fourths of a shell pile left, and Terrence has sorted four-sixths of it.
How much of the shells did he sort?
twelve twenty-fourths
sixteen-eighteenths
twelve-sixteenths
seven-tenths
Based on the fractional value, the amount of the shells that Terrence sorted is A. twelve twenty-fourths.
What is a fractional value?A fractional value is a value that represents a portion or part of the total value.
Fractional values can be depicted as proper, improper, or complex fractions. They can also be depicted as decimals or percentages.
The remaining quantity of the shell pile = ³/₄
The quantity sorted by Terrence = ⁴/₆
The fractional value sorted by Terrence = (⁴/₆ x ³/₄) = ¹²/₂₄ = 0.5 or 50%
Thus, we can conclude that Terrence sorted 50% or ¹²/₂₄ of the shell pile.
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6. Sketch an odd function with a positive leading coefficient having all of the following features: ✔✔VV Zeroes at x = 3, x = 1, and x = -1 y-intercept at 3 2 turning points .
The possible function that satisfies all of those conditions is,
f(x) = -0.5(x-3)(x-1)(x+1) and sketch is attached below.
Given that for a function,
Zeroes at x = 3, x = 1, and x = -1
y-intercept at 3 and have 2 turning points .
considering a function of the form:
f(x) = ax(x-3)(x-1)(x+1)
where a is some constant that we need to determine.
We know that this function is odd because it only contains odd-degree terms.
To find the value of a, we can use the fact that the y-intercept occurs at (0, 3). Plugging in x=0, we obtain,
f(0) = a(0-3)(0-1)(0+1)
= -3a
= 3
Solving for a, we find that a= -1.
Now we have the function,
f(x) = -x(x-3)(x-1)(x+1)
which is odd and has a y-intercept at (0, 3).
To check that this function has zeroes at x=3, x=1, and x=-1,
we can use the zero product property.
We know that if the product of any of the factors is zero, then the entire product f(x) will be zero.
So, we simply need to solve for x when f(x)=0,
f(x) = -x(x-3)(x-1)(x+1) = 0
x=0, 1, -1, and 3 are the solutions to the above equation.
Therefore, f(x) has zeroes at x=3, x=1, and x=-1.
Now to find the turning points,
we can take the first derivative of f(x) and find the critical points where the derivative is zero. The first derivative of f(x) is,
⇒ f'(x) = -4x³ + 6x² + 2x
Setting f'(x) equal to zero and solving for x, we find that the critical points occur at x=-2 and x=2.
Therefore, f(x) has two turning points.
Putting everything together, we get the function,
⇒ f(x) = -0.5(x-3)(x-1)(x+1)
which is odd and has a positive leading coefficient,
After plotting this function we get the required sketch.
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identify the pattern, then write the next three terms in this sequence. 12. 83, 75, 67, 59
Answer:
The pattern is you are subtracting by 8. The subsequent three terms are 51, 43, and 35.
Step-by-step explanation:
First, you can subtract the first value from the second to find the common difference. Then you continue on this pattern. Simple!
Find the value of angle A and angle B pls help (:
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
Suppose that a piano costs $5,000 and loses 20% of its value each year. What will be the value of the piano after 16 years? A. $219.90 B. $274.88 C. $140.74 D. $175.92
Based on the information given will be the value of the piano after 16 years is : C. $140.74.
Using this formula
Time=Principal(1-rate)^n
Where:
Principal=$5,000
Rate=20%
Number of year=16 years
Let plug in the formula
Time=5,000(1-0.20)^16
Time=5,000(.80)^16
Time=$140.737
Time= $140.74 (Approximately)
Inconclusion the value of the piano after 16 years is : C. $140.74.
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Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm
Answer:
D
Step-by-step explanation:
Refer to the picture that givem
A cubical box without a top is 4 cm on each edge. It contains 64 identical 1-cm cubes that exactly fill the box. How many of these small cubes actually touch the box?
Show your work using pictures, numbers or symbols.
A cubical box without a top is 4 cm on each edge. There are a total of 48 small cubes that touch the box.
What is the cubical box?Generally, There are a total of 64 small cubes in the box. The small cubes that are on the bottom of the box do not touch the box, because they are inside the box.
There are 8 small cubes on each face of the large cube, so there are
8 x 6 = <<8*6 =48>>48 small cubes that touch the box. These small cubes form the sides and top of the large cube.
Here is a diagram showing the small cubes that touch the box:
[asy] import three;
size(200); currentprojection = perspective(6,3,2);
triple A = (1,0,0), B = (0,1,0), C = (0,0,1), O = (0,0,0); triple P = (2,2,0), Q = (2,0,2), R = (0,2,2);
draw(O--2A--2B--2C--cycle); draw(O--2A,dashed); draw(O--2B,dashed); draw(O--2C,dashed); draw(P--Q--R--cycle);
label("$x$", 2.2A, NE); label("$y$", 2.2B, NE); label("$z$", 2.2*C, NE); [/asy]
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The _____________________ suggests that youth who socialize with friends who are highly delinquent will be more apt to be delinquent themselves.
The social learning theory suggests that youth who socialize with friends who are highly delinquent will be more apt to be delinquent themselves.
The social learning theory, proposed by Albert Bandura, emphasizes the role of social interactions and observational learning in shaping behavior. According to this theory, individuals learn behaviors through the process of observing others and imitating their actions. In the context of delinquency, the theory suggests that youth who associate with friends who engage in delinquent behaviors are more likely to learn and adopt those behaviors themselves.
This is because they are exposed to models who engage in delinquency and may receive reinforcement or rewards for such behaviors. Through socialization and peer influence, youth internalize the behaviors and attitudes of their delinquent peers, leading to an increased likelihood of engaging in delinquent activities themselves.
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A little bit urgent (I will mark as brainliest whoever answers it correctly)
A pair of dice is rolled. Let X the random variable representing the sum of the numbers that appear.
1. Construct the probability distribution of X for a pair of dice.
2. Find P(X > 8)
3. Find P(X < 7)
4. Find the probability that X takes an even value.
5. Find P(3 < X < 10) 5
Answer:
Hope it helps!!!Brainliest pls!!!A nutritionist is curious about how the concentration of a
vitamin supplement changes as a function of time (in
hours) since a pill has been swallowed. The nutritionist
measures the concentration for six hours after the pill
was swallowed. He calculates the equation of the least-
squares regression line as ý = 0.0093-0.00121x where
y is the concentration and x is the number of hours since
the pill was swallowed. The graph shown is the residual
plot for this model where the residuals are measured in
parts per thousand.
Based on the residual plot, is the linear model
appropriate?
O No, there is no clear pattern in the residual plot.
OYes, there is no clear pattern in the residual plot.
O No, there is a clear pattern in the residual plot,
indicating that the linear model is not appropriate.
O Yes, clearly the concentration of the vitamin
decreases for the first three hours and then increases
after that.
No, the residual plot indicates that the linear model is just not appropriate since it shows a distinct pattern, which is supported by the linear model's inappropriateness.
Explain about the regression line?A line that, using the bivariate data gathered, summarises the linear relationship (as well as linear trend) between it two variables in either a linear regression study.
An assessment of the line that depicts the actual, but unidentified, linear connection that exists between the two variables is called a regression line. When the value of the determinant is known, the regression line's equation can be employed to predict (or forecast) the value of both the response variable.
equation of the least- squares regression line :
ý = 0.0093-0.00121x
In which,
y = concentration
x = number of hours since the pill taken.
From the graph:
There is a clear pattern formed in this residual line.
Thus, No, the residual plot indicates that the linear model is just not appropriate since it shows a distinct pattern, which is supported by the linear model's inappropriateness.
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