Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 192 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.91 cm, y=81.50 kg. r=0.123, P-value=0.223, and ŷ=-101-1.02x. Find the best predicted value of ŷ (weight) given an adult male who is 184 cm tall. Use a 0.05 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 184 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 n Critical Values of the Pearson Correlation Coefficient r -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 -0.05 Print 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 Done NOTE: To test Ho: p=0 against H,: p0, reject H₂ If the absolute value of ris greater than the critical value in the table.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 192 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.91 cm, y=81.50 kg. r=0.123, P-value=0.223, and ŷ=-101-1.02x. Find the best predicted value of ŷ (weight) given an adult male who is 184 cm tall. Use a 0.05 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 184 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 n Critical Values of the Pearson Correlation Coefficient r -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 -0.05 Print 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 Done NOTE: To test Ho: p=0 against H,: p0, reject H₂ If the absolute value of ris greater than the critical value in the table.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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Question
Transcribed Image Text:Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 192 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.91 cm, y=81.50 kg, r=0.123, P-value = 0.223, and
y = - 101 +1.02x. Find the best predicted value of ŷ (weight) given an adult male who is 184 cm tall. Use a 0.05 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 184 cm tall is kg.
(Round to two decimal places as needed.)
Critical Values of the Pearson Correlation Coefficient r
n
4
E
5
6
7
8
9
10
11
12
14
13
14
15
16
17
18
19
20
25
20
30
2
35
40
45
50
60
C
70
80
90
100
n
Critical Values of the Pearson Correlation Coefficient r
a=0.05
0.950
0.878
0.811
0.764
0.754
0.707
0.666
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
0.390
0.361
0.335
0.312
0.294
0.279
0.254
0.236
0.220
0.207
0.196
α=0.05
Print
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
0.979
0.561
0.505
0.463
0.405
0.430
0.402
0.378
0.361
0.330
0.305
0.286
0.269
0.256
x = 0.01
Done
NOTE: To test H₂: p=0
against H₁: p0, reject Ho
if the absolute value of r is
greater than the critical
value in the table.
X
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