Hypothesis test for correlatio
Hypothesis test for correlation. Use the given data to do the following tasks.
| x | y |
|---|---|
| 5 | 20 |
| 6 | 20 |
| 7 | 15 |
| 8 | 16 |
| 9 | 11 |
| 10 | 11 |
(a) Calculate the correlation coefficient r. (use three sig figs)(b) Find the regression line: y=y= + xx. (round values to two decimal places)(d) Test the claim that there is correlation and find the p-value: (State answer to three significant figures, which is different than stating values to three decimal places. For our purposes, stating a value to three significant figures is stating the value until there are three non-zero digits after the decimal place.)(e) Determine whether there is significant correlation. (Use alpha = .05.)
- There is not sufficient evidence to support correlation.
- There is not sufficient evidence to reject correlation.
- There is sufficient evidence to reject correlation.
- There is sufficient evidence to support correlation
Answer:
Solution: ( a )
| X | Y | X * Y | X * X | Y *Y |
| 5 | 20 | 100 | 25 | 400 |
| 6 | 20 | 120 | 36 | 400 |
| 7 | 15 | 105 | 49 | 225 |
| 8 | 16 | 128 | 64 | 256 |
| 9 | 11 | 99 | 81 | 121 |
| 10 | 11 | 110 | 100 | 121 |
=======================================================
Solution: ( b )
| X | Y | X * Y | X * X |
| 5 | 20 | 100 | 25 |
| 6 | 20 | 120 | 36 |
| 7 | 15 | 105 | 49 |
| 8 | 16 | 128 | 64 |
| 9 | 11 | 99 | 81 |
| 10 | 11 | 110 | 100 |
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