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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Drive my car (3.2) (a) What is the equation of the least-squares regression line? Be

Chapter 10, Problem 29

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QUESTION:

Exercises 29 and 30 refer to the following setting. Thirty randomly selected seniors at Council High School were asked to report the age (in years) and mileage of their main vehicles. Here is a scatterplot of the data:

We used Minitab to perform a least-squares regression analysis for these data. Part of the computer output from this regression is shown below.

Drive my car (3.2)

(a) What is the equation of the least-squares regression line? Be sure to define any symbols you use.

(b) Interpret the slope of the least-squares line in the context of this problem.

(c) One student reported that her 10-year-old car had 110,000 miles on it. Find and interpret the residual for this data value. Show your work.

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QUESTION:

Exercises 29 and 30 refer to the following setting. Thirty randomly selected seniors at Council High School were asked to report the age (in years) and mileage of their main vehicles. Here is a scatterplot of the data:

We used Minitab to perform a least-squares regression analysis for these data. Part of the computer output from this regression is shown below.

Drive my car (3.2)

(a) What is the equation of the least-squares regression line? Be sure to define any symbols you use.

(b) Interpret the slope of the least-squares line in the context of this problem.

(c) One student reported that her 10-year-old car had 110,000 miles on it. Find and interpret the residual for this data value. Show your work.

ANSWER:

Step 1 of 3

a)Here age (in years) will help to explain mileage. Age (in years) is an explanatory variable and mileage is a response variable. The equation of the least – squares regression line would be:

Where the predicted mileage and x= the age in years of the cars.

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