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 50 inches. Is the result close to the actual weight of 317 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 49 51 53 61 57 45 368 382 420 481 457 287 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=+ x (Round to one decimal place as needed.)

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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 50 inches. Is the result close to the actual weight of 317 pounds? Use a significance level of 0.05.
Chest size (inches)
Weight (pounds)
49
51
53
61
57
45
368
382
420
481
457
287
Click the icon to view the critical values of the Pearson correlation coefficient r.
What is the regression equation?
ý =
x (Round to one decimal place as needed.)
+
Transcribed Image Text: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 50 inches. Is the result close to the actual weight of 317 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 49 51 53 61 57 45 368 382 420 481 457 287 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? ý = x (Round to one decimal place as needed.) +
Critical Values of the Pearson Correlation Coefficientr
NOTE: To test Ho: p= 0
against H,: p#0, reject H,
if the absolute value of r is
greater than the critical
value in the table.
a = 0.05
a = 0.01
4
0.950
0.990
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
0.6
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.
Transcribed Image Text:Critical Values of the Pearson Correlation Coefficientr NOTE: To test Ho: p= 0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. a = 0.05 a = 0.01 4 0.950 0.990 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 0.6 735 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.
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