Concept explainers
a)
To interpret slope and y-intercept.
a)
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:
The least square regression line is,
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 calculate residuals.
b)
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:
Scatter plot:
The least square regression line is,
13
GPA for English = y =2.85
Formula:
Calculation:
First, we need to put value of
Therefore, residual is,
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 interpret value of r2
c)
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:
Scatter plot:
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
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Essentials of Statistics (6th Edition)
STATS:DATA+MODELS-W/DVD
Elementary Statistics (13th Edition)
Elementary Statistics
Fundamentals of Statistics (5th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman