To examine the relationship between the size (in square feet) of a store and its annual sales (in th
Question: To examine the relationship between the size (in square feet) of a store and its annual sales (in thousands of Dollars), a sample of 14 stores was selected. The results for the 14
stores are summarized in the table below.
Store | Size (x) | Sales (y) |
1 | 1,726 | 3,681 |
2 | 1,642 | 3,895 |
3 | 2,816 | 6,653 |
4 | 5,555 | 9,543 |
5 | 1,292 | 3,418 |
6 | 2,208 | 5,563 |
7 | 1,313 | 3,660 |
8 | 1,102 | 2,694 |
9 | 3,151 | 5,468 |
10 | 1,516 | 2,898 |
11 | 5,161 | 10,674 |
12 | 4,567 | 7,585 |
13 | 5,841 | 11,760 |
14 | 3,008 | 4,085 |
a. Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here?
b. Fit the least squares line to the data to write the simple linear regression equation.
c. Plot the least squares line as a check on your calculations.
d. Interpret the meaning of the slope.
e. Interpret the meaning of the intercept. Does it have a practical meaning here?
f. Evaluate the assumptions (check on ? is i.i.d. N(0,?2)).
g. What are the values of SSE and s2? What does “s” mean?
h. What is the 95% Confidence Interval for the slope?
i. What is the value of “Coefficient of Determination”, what does it measure?
Deliverables: Word Document