A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?
A. Data set A

B. Data set B

C. Data set C

Answers

Answer 1

From the three residual plots provided, data set A is the best fit by the Regression line. It can be observed that the residuals in data set A are randomly scattered around the zero line, and there is no visible pattern in the plot. In contrast, data set B and C's residual plots exhibit a curved pattern,

The residual plot is used to assess the validity of the assumptions about the residuals in regression analysis. Residuals are computed as the difference between the predicted and observed values of the response variable.

The residual plot displays the residuals against the explanatory variable or predictors (time, in this case), providing a visual examination of the relationship between the residuals and the response variable. From the residual plot, the validity of the following assumptions can be assessed:

The residuals should be randomly distributed and the residuals should be normally distributed, and they should have constant variance across the range of the response variable. The residuals should not have any patterns.

From the three residual plots provided, data set A is the best fit by the regression line. It can be observed that the residuals in data set A are randomly scattered around the zero line, and there is no visible pattern in the plot. In contrast, data set B and C's residual plots exhibit a curved pattern,

which is indicative of nonlinearity or a lack of fit of the regression model. Additionally, data set C's residual plot shows a pattern in the form of increasing variance as the time goes on, which indicates heteroscedasticity or non-constant variance.

The normality assumption is met in all three sets, as the residual plot follows a rough normal pattern and has a similar spread on both sides of the zero line. Hence, data set A is the best fit by the regression line because its residual plot shows no pattern or trends, and residuals are randomly distributed around zero with constant variance.

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Related Questions

Need urgent help will mark Brainliest

Answers

Answer:

it is 3,3 or X<3 you can use either one

D is the answer

Step-by-step explanation:

Yup what the above me said

Apple juice is sold in 4 different sizes for 4 different prices. Which is the
LOWEST price per ounce? *
8 points
a. 10 2.-ounce bottle for $2.49
b. 16 2 -ourse bottle for $2.99
C. 24 2 -ounce bottle for $3.99
d. 36 ]-ounce bottle for $6.29

Answers

It will be a . $2.49

Manatees eat 112 pounds of food each day. How many pounds of food would the animal consume in August and September?

Answers

Answer:

6,832 pounds of food

Step-by-step explanation:

The University of Texas at Austin has three times as many students enrolled as the University of Miami. The University of California, Berkley has 3,000 more than twice the number of students as the University of Miami. If the three schools have a total enrollment of 96,000 students, what is the enrollment at each school?

Answers

Step-by-step explanation:

let the University of Miami enrolment be x

so the University of Texas at Austin has three times = 3x

The University of California, Berkley has 3,000 more than twice the number of students at the University of Miami.

this can be translated as = 3000+2x

in total, the enrolment is 96,000

therefore

x+3x+3000+2x=96000

we can now solve for x

6x=96000-3000

6x=93000

divide both sides by 6 we have

x=15500

1. The University of Miami enrolment is 15500 students

2. The University of Texas at Austin has three times = 3x

   =3*15500

   = 46500  students

3. The University of California, Berkley has

    = 3000+2x

    = 3000+2(15500)

    =3000+46500

    =49500 students

If x=3+√8,thenfind the value of x3+1/2 x3.

Answers

Answer:

[tex]\frac{27}{2} +9\sqrt{2}[/tex]; 26.22792

Step-by-step explanation:

Assuming you mean find the value of [tex]3x+\frac{1}{2}(3x)[/tex] (please format your question correctly)...

The question has told you the x value or rather some numerical values. Just like for every other equation, replace x with its numerical value.

[tex]3(3+\sqrt{8})+\frac{1}{2}(3(3+\sqrt{8} ))[/tex]

This question is best suited to use a calculator as doing this on paper is absolutely necessary.

Putting this in the calculator you should get: [tex]\frac{27}{2} +9\sqrt{2}[/tex] or 26.22792

1 hundred is how many times greater than 1 thousand

Answers

Answer: 10

Step-by-step explanation:

-2x + 8x - 6 = 12
Solve

Answers

Answer:

hi…

Step-by-step explanation:

i think so

[tex] - 2x + 8x - 6 = 12 \\ 6x - 6 = 12 \\ 6x = 12 + 6 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]

unit digit of the square of 1368 maths​

Answers

Answer:

The unit digit of a square is 1.

what is the mean of 70 68 73 75 66 68

Answers

Answer:

70

Step-by-step explanation:

70+68+73+75+66+68 = 420

420/6 = 70

Answer:

70

The average number of a data set is the median.

How to solve:

Add all numbers together.

Divide by the number of numbers in the set.

In this set, we see the average number is 70.

The answer is 70.

Hope it helps!

Kristoff worked 5 hours and earned $36.25. if his last paycheck was $797.50, how many hours did he work?
A. 16.5 hours
B. 18 hours
C. 22 hours
D. 110 hours​

Answers

Answer:

110 hours

Step-by-step explanation:

36.25 divided by 5 = 7.25

7.25 x 110 = 797.50

josh´s father is paying for a $20 meal. A 7% sales tax is applied. How much did josh´s father pay for the meal? i need this fast pls

choices:

1.$21.07

2.$21.40

3.$22.00

4.1.07

Answers

Answer:

2. 21.40

Step-by-step explanation:

20 * 1.07= 21.40

The stock of Company A lost $0.68 throughout the day and ended at a value of $67.32. By what percentage did the stock decline?

Answers

Given parameters:

Amount lost on stock = $0.68

Closing value  = $67.32

Unknown:

Percentage of stock decline = ?

To solve this problem, simply express the amount of decline over the closing value and multiply by 100;

    Percentage of stock decline  = [tex]\frac{amount of stock lost}{closing value}[/tex] x 100

Simply input the parameters and solve;

   

     Percentage of stock decline  = [tex]\frac{0.68}{67.32} x 100[/tex]    = 1%

The stock declined by a percentage of 1%

f(x) = 3x^2 + 4x - 6
g(x) = 6x^3 – 5x^2 - 2
Find (f - g)(x).

Answers

Answer:

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

Step-by-step explanation:

subtract g(x) from f(x)

(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)

distribute the negative

(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2

like terms and in order of exponent

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

Hurry!!! What is the value of x in the equation below?
-3-(-5)-(-2)= x
0 -13
0 -9
3
0 7

Answers

Answer:

-13

Step-by-step explanation:

Solving as it is given:

-3-(-5)-(-2)= x-3 + 5 + 2 = x-3 + 7 = x7 - 3 = x4 = xx = 4

As given, the answer is 4 which doesn't match any of the options

Assumed there is typo and question is:

-3-(-5)·(-2)= x-3 - (5)(2) = x-3 - 10 = x-13 = xx = -13

The the answer is option A

There are 26072 people at a baseball game . The ratio of men to women is 7 : 1. How many of each were at the game?

Answers

Answer:

There was 22,813 men and 3,259 women

Step-by-step explanation:

26,072 ÷ 8 ( 7 + 1 ) = 3,259

3,259 x 7 = 22,813 (men)

26,072 - 22,813 (men) = 3,259 (women)

Men: 7/8 = 22,813 men in total

Women: 1/8 = 3,259 women in total

A.2
B.-1/2
C.-2
D.1/2
Plz help?

Answers

The answer should be D but I’m not a 100% positive

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.

1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
4. Divide:
= x

Answers

Answer:

6x and 24

Step-by-step explanation:

Answer:

6x and 24

Step-by-step explanation:

just trust the guy above me

A group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.

Answers

Answer:

No table shown.

Step-by-step explanation:

Where’s the table?

Answer:

it is c

Step-by-step explanation:

For every 10 middle school students in the us, 6 play sports. If there are 956 students how many play?

Answers

Answer:

About 573.6 or 574 would be the answer if you wanted it rounded.

Step-by-step explanation:

I found this by dividing 6 by 10 since for every ten student 6 play sports.

So I divide 6 by 10 and then I multiplied the result by 956 and found the answer to the equation.

So if there was 956 students then about 574 students would play sports.

Hope this helped:)

Denise is building a fence around her 18ft by 34 foot rectangular garden. She put a post at each corner, put some posts along the sides, and space the posts equally around the garden. What is the greatest possible distance between each post and the next post

Answers

Answer:

The greatest possible distance between each post and the next post is 17 ft

Step-by-step explanation:

Please find the attached document

Square one factor from column A and add it to one factor from column B to develop your own polynomial identity.
Column A Column B
(x + y) (x2 + 2xy + y2)
(x − y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)

Answers

Answer:

04.08 Polynomial Identities and Proofs

The Demonstration

Step-by-step explanation:

2. A phone company charges a base fee of $12 per month plus an additional charge per minute. The
monthly phone cost C can be represented by this equation: C = 12 +a.m, where a is the additional
charge per minute, and m is the number of minutes used.
Which equation can be used to find the # of minutes a customer used if we know and a and C?
A. m = (C-12)
B. m = (C - 12)-a
C. m = C - 12a
(C-12)
D. m =
a
E. m = 8-12

Answers

Given:

The  monthly phone cost C can be represented by this equation:

[tex]C=12+a\cdot m[/tex]

where, a is the additional  charge per minute, and m is the number of minutes used.

To find:

The equation can be used to find the number of minutes a customer used if we know and a and C.

Solution:

We have,

[tex]C=12+a\cdot m[/tex]

We need to isolate m on one side.

Subtract 12 from both sides.

[tex]C-12=a\cdot m[/tex]

Divide both sides by a.

[tex]\dfrac{C-12}{a}=\dfrac{a\cdot m}{a}[/tex]

[tex]\dfrac{C-12}{a}=m[/tex]

[tex]m=\dfrac{C-12}{a}[/tex]

The options are not in proper format.

Therefore, the required equation is [tex]m=\dfrac{C-12}{a}[/tex].

PLZ ANSWER WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! World renowned ice cream entrepreneurs Sydney and Eden produce two types of premium dairy ice cream products: Syd n’ Edy’s Chocolate Concussion and Vanilla Brain Freeze. Their chocolate ice cream requires 6 oz milk and 8 oz of peanuts per pint size container while the vanilla option requires 9 oz milk and 5 oz peanuts. Sydney and Eden currently enjoy a surplus of all other ingredients required for their ice cream but only have 360 oz of milk and 400 oz of peanuts for this limited production run. Given that the entrepreneurs charge $5 for each container of Chocolate Concussion and $7 for each Vanilla Brain Freeze, how many of each type should Sydney and Eden produce in order to maximize their profit and what is the maximum? Feel free to approximate to the nearest tenth of a pint as necessary.
A. 40 pints of vanilla brain freeze
B.42.9 pints of chocolate concussion and 11.4 pints of vanilla brain freeze
C.50 pints of chocolate concussion
D.They should not make any ice cream

Answers

C. 50 pints of chocolate concussions

In order to maximize the profit [tex]50[/tex] pints of chocolate concussion should produce.

What is linear programming?

" Linear programming is defined as it represents the extreme value of the given linear function with given subject to constraints."

According to the question,

[tex]'x'[/tex] represents the number of chocolate concussion

[tex]'y'[/tex] represents the number of Vanilla Brain  Freeze

[tex]'z'[/tex] represents the maximize cost

As per the given condition of linear programming,

Maximize Cost   [tex]z =5x + 7y[/tex]

Subject to constraint

[tex]6x + 9y \leq 360\\\\8x + 5y \leq 400\\\\x\geq 0, y\geq 0[/tex]

For

[tex]6x + 9y \leq 360[/tex]

[tex]x= 0 \implies y=40\\\\y=0 \implies x=60[/tex]

And

For

[tex]8x + 5y \leq 400\\\\x=0 \implies y=80\\\\y=0 \implies x= 50[/tex]

Cost for each value of given linear programming we have,

[tex](x, y) = (0,40) \\\\\implies z = 5(0) + 7(40)\\\\ \implies z = $280[/tex]

[tex](x, y) = (60,0) \\\\\implies z = 5(60) + 7(0)\\\\ \implies z = $300[/tex]

[tex](x, y) = (0,80) \\\\\implies z = 5(0) + 7(80)\\\\ \implies z = $560[/tex]

[tex](x, y) = (50,0) \\\\\implies z = 5(50) + 7(0)\\\\ \implies z = $250[/tex]

To maximize the profit [tex]50[/tex] pints of chocolate concussion.

Hence, Option (C) is the correct answer.

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The slope of the line (-4,3) (4,5)

Answers

Answer:

Use the slope formula to find the slope

m=1/4

Step-by-step explanation:

Use the slope formula  y2-y1 over x2-x1 to find the slope m.

HELPPPP I NEED THIS TODAYYYY

Answers

Answer:

375 Ice cream cones

1.50x

Step-by-step explanation:

please help:((
Matching Forms of Rational Numbers
Fractions, decimals, and percentages are all forms of rational numbers, Match the rational numbers that have the
same value.

Answers

Answer:

1/8 = 0.125

3/5= 0.60

30%=0.3

0.45=9/20

1.5=150%

Hey try to do these question by your self next time OwO

Answer:

Step-by-step explanation:

The cost of a ticket t will be no more than $26.?

Answers

I need more information

Answer:

t≤26

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME JIMIN WILL BLESS YOU IF YOU DO

Answers

Answer:

see explanation

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus

7x - 7 = 5x + 3 ( subtract 5x from both sides )

2x - 7 = 3 ( add 7 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

(b)

∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°

(c)

∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°

(d)

∠ WXZ = ∠ WXY + ∠ YXZ = 28° + 28° = 56°

Answer:

hello fellow army

Step-by-step explanation:

Can somebody help, please? If you get it correct I will give you a 5-star review. Thank you so much

Answers

Answer: 1 to 5

Step-by-step explanation:

3x-7+10 where x=9 ???

Answers

3(9)-7+10—>27-7+10=30
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