Concept explainers
(a)
To find: The slope of the line
(a)
Answer to Problem 37E
The slope is b = 1.109
Explanation of Solution
Given:
Regression line =
Calculation:
On comparing our equation to general equation of regression we get, the slope is: b = 1.109
This tells us that the highway mpg is predicted to go up by 1.109 mpg for each added city mpg.
Conclusion:
Hence, the slope is: b = 1.109.
(b)
To find: The intercept and explain why the interpret value is not statistically meaningful
(b)
Answer to Problem 37E
The intercept is: a = 4.62
Explanation of Solution
Calculation:
On comparing our equation to general equation of regression we get, the intercept is: a = 4.62
The value of the Y intercept is meaningful only when the explanatory variable can actually take values close to zero.
Conclusion:
Hence, the intercept is: a = 4.62
(c)
To find: The predicted highway mileage for a car
(c)
Answer to Problem 37E
Predicted highway mileage for a car that gets mileage 28 mpg will be 35.672
Explanation of Solution
Calculation:
The regression line is:
(Predicted) highway mpg =
When city mpg = 16 mpg then
(Predicted) highway mpg=
Predicted highway mileage for a car that gets mileage 16 mpg will be 22.364
When city mpg = 28mpg then
(Predicted) highway mpg =
Predicted highway mileage for a car that gets mileage 28 mpg will be 35.672.
Conclusion:
Hence, the predicted highway mileage for a car will be 35.672.
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Introductory Statistics
Basic Business Statistics, Student Value Edition
Introductory Statistics
Statistics: The Art and Science of Learning from Data (4th Edition)
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