Anna Sheehan is the manager of the Spend wise supermarket chain. She would like to be able to predict paperback book sales (books per week) based on the amountof shelf display space (feet) provided. Anna gathers data for a sample of 11 weeks, as shown in Table.
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TABLE
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|
|
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Week
|
Books Sold Y
|
Shelf space X
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|
1
|
275
|
6.8
|
|
2
|
142
|
3.3
|
|
3
|
168
|
4.1
|
|
4
|
197
|
4.2
|
|
5
|
215
|
4.8
|
|
6
|
188
|
3.9
|
|
7
|
241
|
4.9
|
|
8
|
295
|
7.7
|
|
9
|
125
|
3.1
|
|
10
|
266
|
5.9
|
|
11
|
200
|
5
|
a. Plot a scatter diagram.
b. What kind of relationship exists between these two variables?
c. Compute the correlation coefficient. Determine the equation of the least squares line by calculating the slope and Y-intercept.Use this equation to forecast the number of books sold if 5.2 feet of shelf space is used (i.e., X=5.2)).