In: Statistics and Probability
Retrenched Auto Body management wonders if the satisfaction rate (in %) of their customers depends on the length of time it takes to repair the automobile (in weeks). They arbitrarily keep one car for one week, another car for two weeks, another for three, and still another for four weeks, and then have the cars’ owners report their percentage level of satisfaction. Ignoring history or other test effects, determine the following:
Customer |
Repair time (weeks) |
Satisfaction (%) |
Repair-time squared |
Satisfaction squared |
Repair-timeX satisfaction |
Randy |
1 |
60 |
1 |
3600 |
60 |
Theo |
2 |
55 |
4 |
3025 |
110 |
Kaylene |
3 |
30 |
9 |
900 |
90 |
Al |
4 |
15 |
16 |
225 |
60 |
sum |
10 |
160 |
30 |
7750 |
320 |
average |
2.5 |
40 |
7.5 |
1937.5 |
80 |