Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 pairect measurements yield x = 168.18 cm, y=81.57 kg, r=0.409, P-value=0.000, and y=107 +1.07x. Find the best predicted value of y (weight) given an adult male who is 152 cm tall. Use a 0.01 significance level. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y for an adult male who is 152 cm tall is kg. (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 Critical Values of the Pearson Correlation Coefficient r α=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 0 0.05 a=0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 0.01 NOTE: To test Ho: p=0 against H₁: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. - X
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 pairect measurements yield x = 168.18 cm, y=81.57 kg, r=0.409, P-value=0.000, and y=107 +1.07x. Find the best predicted value of y (weight) given an adult male who is 152 cm tall. Use a 0.01 significance level. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y for an adult male who is 152 cm tall is kg. (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 Critical Values of the Pearson Correlation Coefficient r α=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 0 0.05 a=0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 0.01 NOTE: To test Ho: p=0 against H₁: p#0, reject Ho if the absolute value of ris greater than the critical value in the table. - X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Transcribed Image Text:Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired
measurements yield x = 168.18 cm, y=81.57 kg, r=0.409, P-value = 0.000, and y= -107 +1.07x. Find the best predicted value of y (weight) given an adult male who is 152 cm tall. Use a 0.01 significance level.
Click the icon to view the critical values of the Pearson correlation coefficient r.
The best predicted value of y for an adult male who is 152 cm tall is
(Round to two decimal places as needed.)
kg.
Critical Values of the Pearson Correlation Coefficient r
n
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
45
50
60
70
80
90
100
n
Critical Values of the Pearson Correlation Coefficient r
α=0.05
0.950
0.878
0.811
0.754
0.707
0.666
0.632
0.602
0.576
0.553
0.532
0.514
0.497
0.482
0.468
0.456
0.444
0.396
0.361
0.335
0.312
0.294
0.279
0.254
0.236
0.220
0.207
0.196
g=0.05
α = 0.01
0.990
0.959
0.917
0.875
0.834
0.798
0.765
0.735
0.708
0.684
0.661
0.641
0.623
0.606
0.590
0.575
0.561
0.505
0.463
0.430
0.402
0.378
0.361
0.330
0.305
0.286
0.269
0.256
α = 0.01
NOTE: To test Ho: p=0
against H₁: p#0, reject Ho
if the absolute value of ris
greater than the critical
value in the table.
- X
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