The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 5 - Regression - Apply Your Knowledge - Page 130: 5.1b

Answer

Intercept = 6.785 This value is not statistically meaningful because it doesn't make sense that a car that gets 0 mpg in the city gets 6.785 highway mpg.

Work Step by Step

To identify the slope of the regression line, use the following equation: y = a + b(x), where y is the predicted y value for a given value of x; a is the intercept; and b is the slope. Reworking the given regression line to fit this structure we have y = 6.785 + 1.033 (x). This means that the intercept (a) is equal to 6.785
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