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In: Economics

Question 5: The CEO of a small firm believes that there is a relationship between the...

Question 5:

The CEO of a small firm believes that there is a relationship between the number of client contacts and the dollar value of sales. To document this assertion, she 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.

Number of Contacts, X Sales ($ thousands), Y Number of Contacts, X Sales ($ thousands), Y
14 24 23 30
12 14 48 90
20 28 50 85
16 30 55 120
46 80 50 110

(a) What is the correlation between Y and X?

(b) Determine the coefficients (i.e., the a and b values) of the regression equation Y = a + bX .

(c) Interpret the values of a and b.

(d) Using the estimated regression equation, determine the estimated sales if 45 contacts are made.

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