Question
A store manager wishes to find out whether there is a relationship between the age of...
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample follow. Test the hypothesis at α =0.05. Use Table I.
| Age, x | 18 | 26 | 39 | 48 | 53 | 58 |
| Days, y | 16 | 12 | 9 | 5 | 6 | 2 |
Find the correlation coefficient (r).
| a. |
-0.979 |
|
| b. |
0.979 |
|
| c. |
0.911 |
|
| d. |
-0.911 |
he critical values are:
| a. |
±0.811 |
|
| b. |
±0.878 |
|
| c. |
±0.754 |
|
| d. |
±0.707 |
When x is equal to 47 years, y' is equal to:
| a. |
At α = 0.05, r is not significant and the regression line should not be computed. |
|
| b. |
Approximately 4 days. |
|
| c. |
Approximately 6 days. |
|
| d. |
Approximately 8 days. |
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 18 | 16 | 288 | 324 | 256 |
| 26 | 12 | 312 | 676 | 144 |
| 39 | 9 | 351 | 1521 | 81 |
| 48 | 5 | 240 | 2304 | 25 |
| 53 | 6 | 318 | 2809 | 36 |
| 58 | 2 | 116 | 3364 | 4 |
| n | 6 |
| sum(XY) | 1625.00 |
| sum(X) | 242.00 |
| sum(Y) | 50.00 |
| sum(X^2) | 10998.00 |
| sum(Y^2) | 546.00 |
| Numerator | -2350.00 |
| Denominator | 2400.21 |
| r | -0.9791 |
| r square | 0.9586 |
| Xbar(mean) | 40.3333 |
| Ybar(mean) | 8.3333 |
| SD(X) | 14.3604 |
| SD(Y) | 4.6428 |
| b | -0.3165 |
| a | 21.100 |
Correlation coefficient = r = -0.979
Critical values are = +/-0.811
x = 47 then 
is equal to
= 21 - 0.3165 * 47
= 6.1245
Approximately 6 days
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