Question

In: Statistics and Probability

An automotive sales manager wishes to examine the relationship between age​ (years) and sales price​ ($)...

An automotive sales manager wishes to examine the relationship between age​ (years) and sales price​ ($) for a certain model of used automobile. The accompanying data table contains data for a sample of this model of automobile that were listed for sale at a car shopping website. Perform a​ square-root transformation of the dependent variable​ (price). Using the transformed dependent variable and the age as the independent​ variable, perform a regression analysis.

Age Price ($)
13 3501
13 5378
13 3373
12 4954
12 6506
12 5948
11 5463
11 6286
11 6874
10 7631
10 6411
10 6203
9 6248
9 8010
9 6804
8 7456
8 8518
8 6930
7 7525
7 8937
7 8800
6 8076
6 9707
6 8903
5 11562
5 9428
5 9910
4 11000
4 12924
4 12074
3 11980
3 13526
3 12492
2 14465
2 13833
2 12910
1 18955
1 15724
1 17571

a. State the regression equation. (please show how to find this in excel, when I have gone into excel-data-regression-insert y and x values, I am not getting the right variables. Is there another step?

Determine how to find the test statistic and adjusted r^2

Solutions

Expert Solution

1. Bring data in to excel sheet

2.Select both x and y variable and insert scatter plot chart. Select any data point in the excel and add trend line. In the format trend line option choose "Linear" and also select "Display an equation on chart" & "Disaplay R-squared"

Regression Equation: 15805 - 928.95 x

R-squared: 0.8852

Anoth way to get the summary output:

Go to data tab--> Data analysis --> choose Regression

Result:

test statistic:

intercept: 36.20

age: -16.889


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