Mr. James McWhinney, president of Daniel-James Financial Services,
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question.docx|
Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The X column indicates the number of client contacts last month, and the Y column shows the value of sales ($ thousands) last month for each client sampled. |
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Number of Contacts, X |
Sales ($ thousands), Y |
Number of Contacts, X |
Sales ($ thousands), Y |
||||
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14 |
|
24 |
|
23 |
|
30 |
|
|
12 |
|
14 |
|
48 |
|
90 |
|
|
20 |
|
28 |
|
50 |
|
85 |
|
|
16 |
|
30 |
|
55 |
|
120 |
|
|
46 |
|
80 |
|
50 |
|
110 |
|
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a. |
Determine the regression equation. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round final answers to 2 decimal places.) |
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X |
Y |
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|
( |
( |
( |
|
14 |
|
|
|
376.36 |
1376.41 |
719.74 |
|
12 |
14 |
−21.4 |
−47.1 |
|
|
|
|
20 |
|
−13.4 |
|
179.56 |
|
443.54 |
|
16 |
30 |
|
−31.1 |
|
967.21 |
|
|
46 |
|
12.6 |
|
|
357.21 |
|
|
23 |
|
−10.4 |
|
|
967.21 |
|
|
48 |
90 |
|
28.9 |
213.16 |
|
421.94 |
|
50 |
85 |
|
23.9 |
275.56 |
|
396.74 |
|
55 |
|
|
|
466.56 |
3469.21 |
1,272.24 |
|
50 |
110.0 |
16.6 |
48.9 |
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= |
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= |
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sx |
= |
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sy |
= |
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r |
= |
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b = |
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a = |
Y' = + X |
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b. |
Determine the estimated sales if 40 contacts are made.(Do not round intermediate calculations. Round final answers to 2 decimal places.) |
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