49 51 53 61 57 45 D 368 382 420 481 457 287 he critical values of the Pearson correlation coefficient r. tion? decimal place as needed.) Critical Values of the Pearson Correlation Coefficient r n 4 5 5 6 Y 7 ö 8 ♡ 9 10 10 11 !!! 12 15 13 19 14 2 15 10 16 17 18 19 20 25 30 25 Critical Values of the Pearson Correlation Coefficient r -0.05 -0.01 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0:910 0.553 10:999 0.532 www 0.514 0.497 105 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.990 0.959 0.917 0.875 0:00 0.834 0.798 0.709 0.765 0.735 0.199 0.708 0.684 0.661 w 0.641 6633 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.130 NOTE: To test Ho: p=0 against H,: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. - X

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### Regression Analysis of Bear Chest Size and Weight

**Context:**

The data below show the chest size and weight of several bears. The task is to find the regression equation, letting chest size be the independent (x) variable. Additionally, we need to predict the weight of a bear with a chest size of 50 inches and determine if this prediction is close to the actual weight of 417 pounds using a significance level of 0.05.

### Data

| Chest size (inches) | 49  | 51  | 53  | 61  | 57  | 45  |
|---------------------|-----|-----|-----|-----|-----|-----|
| Weight (pounds)     | 368 | 382 | 420 | 481 | 457 | 287 |

### Critical Values of the Pearson Correlation Coefficient r

| n   | α = 0.05 | α = 0.01 |
|-----|----------|----------|
| 4   | 0.950    | 0.990    |
| 5   | 0.878    | 0.959    |
| 6   | 0.811    | 0.917    |
| 7   | 0.754    | 0.875    |
| 8   | 0.707    | 0.834    |
| 9   | 0.666    | 0.798    |
| 10  | 0.632    | 0.765    |
| 11  | 0.602    | 0.735    |
| 12  | 0.576    | 0.708    |
| 13  | 0.553    | 0.684    |
| 14  | 0.532    | 0.661    |
| 15  | 0.514    | 0.641    |
| 16  | 0.497    | 0.623    |
| 17  | 0.482    | 0.606    |
| 18  | 0.468    | 0.590    |
| 19  | 0.456    | 0.575    |
| 20  | 0.444    | 0.561    |
| 25  |
Transcribed Image Text:### Regression Analysis of Bear Chest Size and Weight **Context:** The data below show the chest size and weight of several bears. The task is to find the regression equation, letting chest size be the independent (x) variable. Additionally, we need to predict the weight of a bear with a chest size of 50 inches and determine if this prediction is close to the actual weight of 417 pounds using a significance level of 0.05. ### Data | Chest size (inches) | 49 | 51 | 53 | 61 | 57 | 45 | |---------------------|-----|-----|-----|-----|-----|-----| | Weight (pounds) | 368 | 382 | 420 | 481 | 457 | 287 | ### Critical Values of the Pearson Correlation Coefficient r | n | α = 0.05 | α = 0.01 | |-----|----------|----------| | 4 | 0.950 | 0.990 | | 5 | 0.878 | 0.959 | | 6 | 0.811 | 0.917 | | 7 | 0.754 | 0.875 | | 8 | 0.707 | 0.834 | | 9 | 0.666 | 0.798 | | 10 | 0.632 | 0.765 | | 11 | 0.602 | 0.735 | | 12 | 0.576 | 0.708 | | 13 | 0.553 | 0.684 | | 14 | 0.532 | 0.661 | | 15 | 0.514 | 0.641 | | 16 | 0.497 | 0.623 | | 17 | 0.482 | 0.606 | | 18 | 0.468 | 0.590 | | 19 | 0.456 | 0.575 | | 20 | 0.444 | 0.561 | | 25 |
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