he least-squares regression line y=bo +b₁x=47.8026+0.3397x and Σ (x-x)² = 36.5350 are known for this data. Use the critical value method to test 0:₁0 versus H₁ :B₁ +0. Can you conclude that the father's height is useful in predicting the son's height? Use the a= 0.01 level of significance. W² Part: 0/4 Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0.0....

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 3CR
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Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6
pairs, with height measured in inches, simulated from the distribution specified by Pearson.
Father's Son's
height height
70.8
69.8
70.7
70.1 73.3
73.6 76.5
65.7
72.4
71.0
Part: 0 / 4
70.9
Send data to Excel
Part 1 of 4
69.1
The least-squares regression line y = b + b₁ x = 47.8026+0.3397x and Σ (x-x)² = 36.5350 are known for this data. Use the critical value method to test
H₂ :B₁ = 0 versus H₁ :B₁ +0. Can you conclude that the father's height is useful in predicting the son's height? Use the α = 0.01 level of significance.
Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.
Critical value(s):
0,0,...
Transcribed Image Text:Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 6 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 70.8 69.8 70.7 70.1 73.3 73.6 76.5 65.7 72.4 71.0 Part: 0 / 4 70.9 Send data to Excel Part 1 of 4 69.1 The least-squares regression line y = b + b₁ x = 47.8026+0.3397x and Σ (x-x)² = 36.5350 are known for this data. Use the critical value method to test H₂ :B₁ = 0 versus H₁ :B₁ +0. Can you conclude that the father's height is useful in predicting the son's height? Use the α = 0.01 level of significance. Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0,0,...
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