In: Statistics and Probability
The data below is the mileage (thousands of miles) and age of your cars as sample.
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?