he 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 39inches. Is the result close to the actual weight of 126 ​pounds? Use a significance level of 0.05.   Chest size​ (inches) 44 41 41 55 51 42   Weight​ (pounds) 213 206 176 309 300 178     Critical Values of the Correlation Coefficient r n α=0.05 α=0.01 ​NOTE: To test H0​: ρ=0 against H1: ρ≠​0, reject H0 if the absolute value of r is greater than the critical value in the table. 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   What is the regression​ equation?   y=_____+_______x

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he 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 39inches. Is the result close to the actual weight of 126 ​pounds?
Use a significance level of 0.05.
 
Chest size​ (inches)
44
41
41
55
51
42
 
Weight​ (pounds)
213
206
176
309
300
178
 
 
Critical Values of the Correlation Coefficient r
n
α=0.05
α=0.01
​NOTE: To test H0​: ρ=0 against H1: ρ≠​0, reject H0
if the absolute value of r is greater than the critical value in the table.
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
 
What is the regression​ equation?
 
y=_____+_______x
​ 
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