Interested in the possible relationship between the size of his tip versus the s
ID: 3382790 • Letter: I
Question
Interested in the possible relationship between the size of his tip versus the size of the check and the number of diners in the party, a food server has recorded the following for a sample of 8 checks:
Observation
Number y = Tip x1 = Check x2 = Diners
1 $7.5 $40 2
2 0.5 15 1
3 2.0 30 3
4 3.5 25 4
5 9.5 50 4
6 2.5 20 5
7 3.5 35 5
8 1.0 10 2
a. Using EXCEL determine the multiple regression equation. Interpret the partial regression coefficients.
b. What is the estimated tip amount for 3 diners who have a $40 check?
c. Determine the 95% prediction interval for the tip left by a dining party like the one in part (b).
d. Determine the 95% confidence interval for the mean tip left by all dining parties like the one in part (b).
e. Determine the 95% confidence interval for the partial regression coefficients, 1 and 2.
f. Interpret the significance tests in the computer printout.
Explanation / Answer
Interested in the possible relationship between the size of his tip versus the s
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