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 |
|
-
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 |
|
|
|
|
|
-
a-2. Write out the regression equation.
(Negative amounts should be indicated by a minus sign.
Round your answers to 3 decimal places.)
-
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. |
|
-
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 |
|
|
|
|
|
-
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