A customer service department asks its customers to rate their​over-the-phone service on a scale of​ 1-20 immediately after theirservice has been completed. The department then matches each​customer's rating with the number of minutes the person waited onhold. The accompanying table shows the ratings and number ofminutes on hold for 10 randomly selected customers. The regressionline for the data is (^ is above the Y) Y=16.85-0.15x. Use thisinformation to complete parts a through d.
Minutes | Rating |
3 | 14 |
9 | 12 |
1 | 17 |
6 | 9 |
7 | 15 |
1 | 17 |
9 | 13 |
2 | 19 |
9 | 14 |
3 | 13 |
A. Calculate the coefficient of determination
R2=0.358
(round to three decimal places)
(this has already been found)
B. using a significance level of 0.05 test the significance ofthe population coefficient of determination
Determine the null and alternative hypotheses.
(this has already been solved below)
Ho:p2 < 0 (< has a line under it)
Ho:p2 > 0
*the F- Statistic is =
(round to two decimal places)
* the P-Value is=
(round to two decimal places)
Choose the correct answer below
*because the P-Value is greater than / less than/or equal to thesignificance level, do not reject / reject the null hypothesis /alternative hypothesis. There is not / is enough evidence toconclude that the coefficient of determination
C. construct a 95% confidence interval for the average rating bya customer who waits 8 minutes
UCL=
(round to two decimal places)
LCL=
(round both to two decimal points)
D. construct a 95% prediction interval for the rating given by acustomer who waits 8 minutes
UPL=
(round to two decimal places)
LPL=
(round to two decimal places)