The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Is the result close to the actual weight of 475 pounds? Use a significance level of 0.05.
| Chest size (inches) | 44 | 59 | 55 | 59 | 57 | 44 |
| Weight (pounds) | 403 | 645 | 563 | 589 | 548 | 406 |
| 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 | 0.396 | 0.505 |
| 30 | 0.361 | 0.463 |
| 35 | 0.335 | 0.430 |
| 40 | 0.312 | 0.402 |
| 45 | 0.294 | 0.378 |
| 50 | 0.279 | 0.361 |
| 60 | 0.254 | 0.330 |
| 70 | 0.236 | 0.305 |
| 80 | 0.220 | 0.286 |
| 90 | 0.207 | 0.269 |
| 100 | 0.196 | 0.256 |
| n | α = 0.05 | α = 0.01 |
inches. Is the result close to the actual weight of
pounds? Use a significance level of 0.05.
|
Chest size (inches)
|
46
|
57
|
53
|
41
|
40
|
40
|
|
|---|---|---|---|---|---|---|---|
|
Weight (pounds)
|
384
|
580
|
542
|
358
|
306
|
320
|
Click the icon to view the critical values of the Pearson correlation coefficient r.
(Round to one decimal place as needed.)
y=___+___x
The best predicted weight for a bear with a chest size of 50 inches is __ pounds.
(Round to one decimal place as needed.)
Is the result close to the actual weight of 427 pounds?
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 43 inches. Is the result close to the actual weight of 237 pounds? Use a significance level of 0.05.
Chest_size_(inches) Weight_ (pounds)
50 279
54 339
44 219
54 292
40 201
36 116
What is the regression equation?
y=___ + ___ x (Round to one decimal place as needed.)
What is the best predicted weight of a bear with a chest size of 43 inches?
The best predicted weight for a bear with a chest size of 43 inches is __ pounds. (Round to one decimal place as needed.)
Is the result close to the actual weight of 237 pounds?
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