Question

The data below is the mileage (thousands of miles) and age of your cars .

Year Miles Age

2017    8.5    1

2009 100.3    9

2014   32.7    4

2004 125.0   14

2003 115.0   15

2011   85.5    7

2012   23.1    6

2012   45.0    6

2004 123.0   14

2013   51.2    5

2013 116.0    5

2009 110.0    9

2003 143.0   15

2017   12.0    1

2005 180.0   13

2008 270.0   10

Please include appropriate Minitab Results when important

a. Identify terms in the simple linear regression population model in this context.

b. Obtain a scatter diagram for the sample data. Interpret the scatter diagram.

c. Obtain a scatter diagram with the least squares regression line included. Interpret the intercept and slope in the context of this problem.

d. In theory what ought to be the value of the population model intercept? Explain.

e. What is the informal prediction for what the mileage should be on your car? What is the error in the prediction of the mileage for your car?

f .Use some statistical reasoning to assess whether or not the prediction for the mileage on your car was “accurate”?

g. How would you respond if someone asks “about” how many miles do students drive per year?

Answer 1

1)

dependent variable -> Miles  

independent variable -> age

2)

there is a strong positive linear relationship between miles and age

that is as the value of age increases, the value of miles also increases

3)

slope=9.92. with one year increase inage, there is 9920 miles increase in milage

intercept=13.2, the initial milage is 13200 miles units when age is zero (that is for a brand new car)

4)

the brand new cars is expeted to give milage of 13200 miles