The value of R2 is approximately 0.978, the value of R is approximately 0.989, and the value of SSE is 39.
Given that the following estimated regression equation is based on 30 observations, SST = 1,801, and SSR = 1,762. a. Compute R2 (to 3 decimals). *b. Compute R (to 3 decimals).c. Compute the value of SSE.
To find R2, we need to use the formula R2 = SSR/SST To find R, we need to use the formula R = sqrt(R2)To find SSE, we need to use the formula SSE = SST - SSRa. R2 = SSR/SST = 1,762/1,801 ≈ 0.978b. R = sqrt(R2) = sqrt(0.978) ≈ 0.989c. SSE = SST - SSR = 1,801 - 1,762 = 39
Assessing the link between the outcome variable and one or more factors is referred to as regression analysis. Risk factors and co-founders are referred to as predictors or independent variables, whilst the result variable is known as the dependent or response variable. Regression analysis displays the dependent variable as "y" and the independent variables as "x".
In the correlation analysis, the sample of a correlation coefficient is estimated. It measures the intensity and direction of the linear relationship between two variables and has a range of -1 to +1, represented by the letter r. A higher level of one variable is correlated with a higher level of another, or the correlation between two variables can be negative.
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PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
Which function rule matches the input-output table? 1 Input, X Output, y 3 4 2 11 5 7 15 19 23 o y = 4 + 3x oy-3+44 oy-3 + 5x y-2 +42
Replace each x value and see if it matches its output (y value) , for each function.
A.
y= 4+ 3x
x=1 ,y=7
(7)=4 + 3(1)
7= 4 + 3
7=7
x=2, y=11
11= 4 +3(2)
11= 4+6
11= 10 NOT EQUAL
B.
y= 3 + 4x
x=1,y=7
(7)= 3 +4 (1)
7= 3+4
7=7
x=2, y=11
11= 3 + 4(2)
11=3 +8
11=11
x=3, y=15
15= 3 + 4(3)
15=3 + 12
15=15
x=4, y=19
19= 3 + 4(4)
19=3+16
19=19
x=5 , y=23
23 = 3 + 4(5)
23= 3 + 20
23=23
Correct option = y=3+4x
A boat is 450 m from the foot of a cliff that is 110 m high. Find the angle of elevation of the top of the cliff from the boat. Include a diagram to illustrate your answer.
I will willingly give brainliest to any answers that include a diagram and a detailed explanation.
Answer:
The diagram is omitted--please sketch it to confirm my answer.
Set your calculator to degree mode.
\( \tan( \alpha ) = \frac{110}{450} \)
\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)
The angle of elevation is 13.74°.
Evaluate the given integral by making an appropriate change of variables. 8 (x − 7y)/(6x − y) dA, R where R is the parallelogram enclosed by the lines x − 7y = 0, x − 7y = 5, 6x − y = 7, and 6x − y = 9
The integral to be evaluated is;\(∫∫_R▒〖8(x-7y)/(6x-y)dA〗\) R where R is the parallelogram enclosed by the lines \(x-7y=0, x-7y=5, 6x-y=7 and 6x-y=9\). The solution is 264/41 and it is obtained by using an appropriate change of variables.
This integral can be solved by making an appropriate change of variables which will simplify the integral.The lines \(x - 7y = 0 and 6x - y = 7\) intersect at (7,1)
while\(x - 7y = 5 and 6x - y = 9\) intersect at (9,1). This implies that the length of the parallel sides of the parallelogram is 2 units while the distance between the parallel lines is 5 units.
Therefore, we can define the transformation function as:\(u = 6x - y, v = x - 7y\).The Jacobian is given as:\(∂(u,v)/∂(x,y) = (6)(-7) - (1)(-1) = -41\)
The integral can now be expressed as:\(∫∫_R▒〖8(x-7y)/(6x-y)dA〗 = ∫_1^7▒〖∫_(5+y/7)^((y+9)/6)▒〖8(u/(-41))dudv〗〗 = ∫_1^7▒〖(1/41)∫_(5+y/7)^((y+9)/6)▒8udu dv〗\)
= \(∫_1^7▒〖[(1/41)(4(u^2)/2)|_((5+y/7)^((y+9)/6))]dv〗 = (1/41)∫_1^7▒[16(5+y/7)^2/2 - 16((y+9)/6)^2/2]dv = (1/41)[(160(5+y/7)^2/2 - 16((y+9)/6)^2/2)|_1^7] = 264/41.\)
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if a car is speeding down a road at 50 miles/hour ( mph ), how long is the stopping distance d50 compared to the stopping distance d25 if the driver were going at the posted speed limit of 25 mph ?
The stopping distance of D40 is 2.56 times the stopping distance of D25.
Given that are two initial velocities: 40 mph and 25 mph, with which the car's stopping distance is D40 and D25.
The final velocity for both is 0 mph (as the car to a stops).
We need to compare the stopping distance D40 to the stopping distance D25.
Use the third equation of motion for both cases to get the comparison.
The equation is given by:
\(v^2 - u^2 = 2as.\)
Case 1)
\(0 - 40^2 = 2a(D40)\)
Case 2)
\(0 - 25^2 = 2a(D25)\)
Comparing the obtained expressions.
\(\frac{40^2}{25^2} = \frac{2a(D40)}{2a(D25)}\)
\(2.56 = \frac{D40}{D25}\)
\(2.565 \times D25 = D40\)
Hence the stopping distance of D40 is 2.56 times the stopping distance of D25.
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19. The unit digit of (32 x 65)º is
a) 2
b) 5
c) O
d) 1
J
a set of data is found to have a sample variance of 81. suppose that 16 is added to each of the numbers in the data set. circle the standard deviation of the new data set?
The required standard deviation of the new data set is 9.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
According to question:When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.
However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.
So, the standard deviation of the new data set is 9.
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Write the expression in standard form 5(2a)+7(-4b)+2.c.5
Answer: I will be there at about five or seven or later today and then I’m going to be there
Step-by-step explanation:
Question for the answer questions about the question question for you and I have to do a little more
An image of a parallelogram is shown.
A parallelogram with a base of 22 and one-half feet and a height of 18 and three-fourth feet.
What is the area of the parallelogram?
four hundred forty-four and three-eighths ft2
four hundred twenty-one and seven-eighths ft2
four hundred twelve and one-half ft2
four hundred five and one-half ft2
The area of the parallelogram is four hundred twenty-one and seven-eighths ft². Option B is the correct option.
What is parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles are supplementary to the transversal on the same side. 360 degrees is the sum of all interior angles.
Given that the base of the parallelogram is 22 and one-half feet and the height is 18 and three-fourth feet.
22 and one-half and 18 and three-fourths both are mixed fractions.
Convert 22 and one-half and 18 and three-fourths into improper fractions:
\(22\frac{1}{2}\) = 45/2
\(18\frac{3}{4}\) = 75/4
The area of a parallelogram is the product of base and height.
The area of the parallelogram is
45/2 × 75/4
= 3375/8
= 421 + (7/8)
= \(421\frac{7}{8}\)
= four hundred twenty-one and seven-eighths ft²
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7. A frying pan can hold 2 dozen wantons at a time.
It takes 5 minutes to fry 2 dozen wantons. How
long will it take to fry 40 dozens wantons
Answer:
100 minutes
Step-by-step explanation:
This is because it takes 5 minutes to fry 24 wantons, so we can write 5/24. Now we need to find out how long it takes to fry 40 dozen wantons, or 480 wantons. We can rewrite this as x/480. Since the time should be proportional, we get the following:
5/24 = x/480
We can now cross multiply. 24x=5x480. Therefore, 24x = 2400. If we divided each side by 24, we would get 100. Therefore, it takes 100 minutes to fry 40 dozen wantons, or about 1 2/3 hours.
Answer:
100 minutes (1 hour & 40 minutes).
Step-by-step explanation:
5 minutes = 2 dozen, which means it takes 2.5 minutes to cook 1 dozen.
2.5 minutes x 40 dozen = 100 minutes...
Review the proof.
A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.
Which step contains an error?
Answer:
Half Angle & X
Step-by-step explanation:
edge 2022
The step contains an error is Half Angle & X.
We have given that,
A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, and 8.
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.
We have determined the step contains an error.
Half Angle & X.
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10% more than a number is 132
What is the number?
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
Last Saturday, Emily and Lauren went to the ice cream shop. Enter an expression showing how much they spent together if Emily spent $4.53 and Lauren spent d dollars.
Answer:
With the information provided, you can say that the total amount they spent together would be equal to the result of adding up the amount Emily spent plus the amount Lauren spent, which would be:
Amount Emily spent: $4.53
Amount Lauren spent: d
The expression is:
x=4.53+d, where:
x is the amount they spent together
d is the amount Lauren spent
Help because yessssssssssssssssss.
Answer:
...................................................
Search it up!.
Step-by-step explanation:
Hey, Chiyoku. If you are going to be online, please talk to me, I miss you.
Check that the trinomial is a perfect square trinomial
HELPPPPP!!!!!!!!
As a result, x²-18x+81 is a perfect square trinomial and can be represented as (x-9)².
WHAT ARE SOME OTHER PERFECT SQUARE TERMINAL EXAMPLES?Perfect square trinomials are illustrated by the following:
x²+6x+9
=(x+3)²
x²-10x+25
=(x-5)²
4x²+12x+9
=(2x+3)²
a²+2ab+b²=(a+b)²
The quadratic expression is a perfect square trinomial if it can be expressed in this way.
As an illustration,
let's determine whether x²-18x+81 is a perfect square trinomial:
The square of x is the first term, x².
The square of 9 is the final term (81).
Its result 2(x)(-9)=-18x is
twice as long as the middle term.
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Please help.... this is confusing me:0
Answer:
See below
Step-by-step explanation:
IN a right triangle , remember S-O-H-C-A-H-T-O-A <===memorize this!
sin z = O/H = opposite side/hypotenuse = 16/20
cos z = A/H = adjacent / hy[potenuse = 12/20
tan z = O/A = 16/12
The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?
Answer: 4 committees
Hope this helps! :)
I need brainliest please.
Can someone help with this question please?
Data set 2 is symmetric The prices for six books are given below. If all the prices are reduced by 50%, what is the new median price? $12.75, $14.80, $19.99 $9.95 $16.00, $17.95 (A) $7.40 (B) $7.70 (C) $15.24 (D) $15.40
After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)
To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.
Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.
To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.
Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.
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Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249
none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.
To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.
The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.
Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:
Minimum space required for water closets = 12 water closets * 30 inches = 360 inches
Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches
Adding these two values together, we get a total minimum space requirement of 672 inches.
Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.
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look at the diagram which angle is adjacent and congruent to angle AOE
Answer:
Angle EOC.Step-by-step explanation:
You can observe the figure in the image attached.
Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).
Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.
Find the perimeter of ABCD and please explain how you found it.
Answer:
157
Step-by-step explanation:
We can already tell that these two figures are congruent due to the angles (if you remember, the "top" and "bottom" angles of trapezoids form 180 degrees). Since we know that these are congruent, we know that GH = BC, and so on. We can then plug in the missing sides by looking at the figure that has the sides. Thus, giving us 157. Hope this wasn't too complicated!
Answer:
Step-by-step explanation:
Do number 9 please thank you
Answer:
82cm
Step-by-step explanation:
ihope it helps thanks
Help I’m failing math
Answer:
can you send a more clear photo its quite blurry
Choose a word from the box to make each sentence true.
1. A cent is worth 10% of a dime
2. A year is 10% of a_
3. A millimeter is 10% of a
4. A decade is 10% of a
5. A dime is 10% of a
A) month
B) nickel
C) dime
D) meter
E) year
F) decade
G) centimeter
H) penny
I) century dollar
A word from the box to make each sentence true are as matched below:
1. A cent is worth 10% of a dime
2. A year is 10% of a decade
3. A millimeter is 10% of a centimeter
4. A decade is 10% of a century
5. A dime is 10% of a penny
What is century?The word century is originated from the Latin word centuria, which implied a group of 100, specifically a section or class of 100 Roman soldiers. The word presently could be interpreted as 100 of something. In any field, a century is a mark of 100 in an activity or event.
Therefore, the correct answer is as given above. Consequently, 10% of anything is the division of such thing into ten (10) pieces and one(1) out of these ten (10) divisions is a 10% of such thing.
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use the definition to find an expression for the area under the graph of f as a limit. do not evaluate the limit. f ( x ) = x 2 √ 1 2 x , 2 ≤ x ≤ 4 lim n → [infinity] n ∑ i = 1
Using the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n.
To find the expression for the area under the graph of the function f(x) = x^2 √(1/2x) as a limit, we can use the definition of a Riemann sum and take the limit as n approaches infinity of the sum from i = 1 to n.
The Riemann sum is a method to approximate the area under a curve by dividing it into smaller rectangular regions. In this case, we need to express the area under the graph of f(x) as a limit of a Riemann sum.
The expression for the area under the graph of f(x) as a limit is given by:
lim n → ∞ Σ i=1^n [f(xi) Δx]
In this formula, xi represents the ith subinterval, Δx represents the width of each subinterval, and f(xi) represents the value of the function at a point within the ith subinterval.
To calculate the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n. Then, for each subinterval, we evaluate f(xi) and multiply it by Δx. Finally, we sum up all these values as n approaches infinity.
However, without evaluating the limit or specifying the specific method of partitioning the interval, it is not possible to provide a more precise expression for the area. The given information is insufficient to calculate the exact value.
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In the figure below, o ll m. Find the values of y and x.
The values of y and x is 117 degrees and 28 degrees.
Given:
o ll m
Let angle beside 63 is a.
63 + <a = 180
<a = 180 - 63
<a = 117 degrees.
y = 117 degrees (since alternate interior angles are equal)
y = 4x + 5(vertically opposite angles are equal)
117 - 5 = 4x
4x = 112
divide by 4 on both sides
x = 112/4
x = 28 degrees.
Therefore the values of y and x is 117 degrees and 28 degrees.
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a coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
Answer:
50
Step-by-step explanation:
There is a 50-50 chance the coin lands heads up. Of course, if you flip a coin 100 times, it will not be exactly 50, but it will be pretty close.
Answer:
It is 50% likely because there is a 50/50 chance on both heads and tails
Step-by-step explanation:
i hope this helps sorry if im incorrect
State the domain and range for each of the following then state if it's a function.
Considering the graph the domain and range are
domain -3 ≤ x ≤ 1range 4 ≤ x ≤ 5How to get domain and rangeThe domain refers to the possible values of the input variables which is in the x coordinate
Looking at the graph image attached, the values starts from -3 to 1 this is written as
-3 ≤ x ≤ 1The range refers to the values of the output functions. From the graph the range is 4 to 5
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