PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Chapter 11.1, Problem 26E

a)

To determine

To interpret slope and y-intercept.

a)

Expert Solution
Check Mark

Answer to Problem 26E

The y-intercept explain the average grade is 3.42 when 0 books read.

The slope explains the average English grade increases by 0.02 per book read.

Explanation of Solution

Given:

The box plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  1

Scatter plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  2

The least square regression line is,

  y^=3.42+0.02x

Calculation:

The y-intercept is 3.42 which explain the average grade is 3.42 when 0 books read.

The slope is 0.02 which explain the average English grade increases by 0.02 per book read.

b)

To determine

To calculate residuals.

b)

Expert Solution
Check Mark

Answer to Problem 26E

We overestimated the average grade by 0.9831 when making the prediction using the lease square regression equation.

Explanation of Solution

Given:

The box plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  3

Scatter plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  4

The least square regression line is,

13 y^=3.42+0.02x

GPA for English = y =2.85

Formula:

  Residual=yy^

Calculation:

First, we need to put value of x=17 to calculate predicted value.

  y^=3.42+0.02×17=3.8331

Therefore, residual is,

  Residual=2.853.8331=0.9831

This can be interpreted as, we overestimated the average grade by 0.9831 when making the prediction using the lease square regression equation.

c)

To determine

To interpret value of r2

c)

Expert Solution
Check Mark

Answer to Problem 26E

The 8.3% of the variation in the average English grade is explained by the model using the number of books read.

Explanation of Solution

Given:

The box plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  5

Scatter plot:

PRACTICE OF STATISTICS F/AP EXAM, Chapter 11.1, Problem 26E , additional homework tip  6

r2 = 0.083

Calculation:

The r2 = 0.083 = 8.3%. This value is very small. Therefore, 8.3% of the variation in the average English grade is explained by the model using the number of books read.

Chapter 11 Solutions

PRACTICE OF STATISTICS F/AP EXAM

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