Find the regression​ equation, letting overhead width be the predictor​ (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.7cm. Can the prediction be​ correct? What is wrong with predicting the weight in this​ case? Use a significance level of 0.05.   Overhead Width​ (cm) 7.4 7.3 9.3 7.7 8.8 8.4   Weight​ (kg) 135 161 238 146 212 203     View the critical values of the Pearson correlation coefficient r. Critical values of the pearson 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 The regression equation is y= __________+__________x. ​(Round to one decimal place as​ needed.)   The best predicted weight for an overhead width of 1.7 cm is _______ kg. ​(Round to one decimal place as​ needed.)

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Section 10.2

Question #10

Find the regression​ equation, letting overhead width be the predictor​ (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.7cm. Can the prediction be​ correct? What is wrong with predicting the weight in this​ case? Use a significance level of 0.05.
 
Overhead Width​ (cm)
7.4
7.3
9.3
7.7
8.8
8.4
 
Weight​ (kg)
135
161
238
146
212
203
 
 
View the critical values of the Pearson correlation coefficient r.
Critical values of the pearson 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
The regression equation is y= __________+__________x.
​(Round to one decimal place as​ needed.)
 
The best predicted weight for an overhead width of 1.7 cm is _______ kg.
​(Round to one decimal place as​ needed.)

 

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