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In: Statistics and Probability

Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of...

Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners
1 $ 7.70 $ 46.02 1 16 $ 3.30 $ 23.59 2
2 4.50 28.23 4 17 3.50 22.30 2
3 1.00 10.65 1 18 3.25 32.00 2
4 2.40 19.82 3 19 5.40 50.02 4
5 5.00 28.62 3 20 2.25 17.60 3
6 4.25 24.83 2 21 3.90 58.18 1
7 0.50 6.25 1 22 3.00 20.27 2
8 6.00 49.20 4 23 1.25 19.53 2
9 5.00 43.26 3 24 3.25 27.03 3
10 6.65 36.01 2 25 3.00 21.28 2
11 5.75 62.39 4 26 6.25 43.38 4
12 6.00 34.99 3 27 5.60 28.12 4
13 4.00 33.91 4 28 2.50 26.25 2
14 3.35 23.06 2 29 3.65 60.26 5
15 0.75 4.65 1 30 9.20 64.13 6
  1. a-1. Develop a multiple regression equation with the amount of tips as the dependent variable and the amount of the bill and the number of diners as independent variables and complete the table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Predictor Coefficient SE Coefficient t p-value
Constant
Bill
Diners
  1. a-2. Write out the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Tip = + Bill + Diners
  1. a-3. How much does another diner add to the amount of the tips? (Round your answer to 2 decimal places.)

Another diner on average adds to the tip.
  1. b-1. Complete the ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round "SS, MS" to 3 decimal places and "F" to 2 decimal places.)

Source DF SS MS F p-value
Regression
Residual Error
Total
  1. c-1. Conduct an individual test on each of the variables. What is the decision rule at the 0.05 level of significance? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

It would be rejected if t is less than or more than .

d. Use the equation developed in part (c) to determine the coefficient of determination. (Round your answer to 2 decimal places.)

The coefficient of determination is

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