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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 8 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 65.4 66.0 65.7 70.9 66.7 68.8 70.1 73.3 72.4 69.1 65.7 65.3 72.3 71.9 73.6 76.5 Send data to Excel The least-squares regression line y=bo+b₁x=16.1867+0.7833x and Σ (x-x)² = 84.8487 are known for these data. Use the P-value method to test H: B₁=0 versus H₁: B₁ +0. Can you conclude that father's height is useful in predicting son's height? Use the a=0.10 level of significance. Part: 0 / 4 Part 1 of 4 Compute the test statistic. Always round -score values to three decimal places.

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 8 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 65.4 66.0 65.7 70.9 66.7 68.8 70.1 73.3 72.4 69.1 65.7 65.3 72.3 71.9 73.6 76.5 Send data to Excel The least-squares regression line y=bo+b₁x=16.1867+0.7833x and Σ (x-x)² = 84.8487 are known for these data. Use the P-value method to test H: B₁=0 versus H₁: B₁ +0. Can you conclude that father's height is useful in predicting son's height? Use the a=0.10 level of significance. Part: 0 / 4 Part 1 of 4 Compute the test statistic. Always round -score values to three decimal places.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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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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 8 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 65.4 66.0 65.7 70.9 66.7 68.8 70.1 73.3 72.4 69.1 65.7 65.3 72.3 71.9 73.6 76.5 Send data to Excel = 84.8487 The least-squares regression line y=b+b₁x=16.1867 +0.7833x and Σ (x-x)² = 84 are known for these data. Use the P-value method to test H₁: B₁=0 versus H₁: B₁ +0. Can you conclude that father's height is useful in predicting son's height? Use the a=0.10 level of significance. Part: 0/4 Part 1 of 4 Compute the test statistic. Always round -score values to three decimal places. X
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 8 pairs, with height measured in inches, simulated from the distribution specified by Pearson. Father's Son's height height 65.4 66.0 65.7 70.9 66.7 68.8 70.1 73.3 72.4 69.1 65.7 65.3 72.3 71.9 73.6 76.5 Send data to Excel = 84.8487 The least-squares regression line y=b+b₁x=16.1867 +0.7833x and Σ (x-x)² = 84 are known for these data. Use the P-value method to test H₁: B₁=0 versus H₁: B₁ +0. Can you conclude that father's height is useful in predicting son's height? Use the a=0.10 level of significance. Part: 0/4 Part 1 of 4 Compute the test statistic. Always round -score values to three decimal places. X
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 6 subjects. Times were measured in thousandths of a second. The results are presented in the following table. The results are presented in the following table. Visual 161 235 201 228 191 178 Send data to Excel Auditory 159 241 197 209 169 201 Use the TI-84 calculator. Part: 0 / 2 Part 1 of 2 Compute the least-squares regression line for predicting the time to respond to an auditory (») from the time to respond to a visual stimulus (x). Round the slope and y-intercept values to at least four decimal places. The regression equation is =. X
Transcribed Image Text:Fast reactions: In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 6 subjects. Times were measured in thousandths of a second. The results are presented in the following table. The results are presented in the following table. Visual 161 235 201 228 191 178 Send data to Excel Auditory 159 241 197 209 169 201 Use the TI-84 calculator. Part: 0 / 2 Part 1 of 2 Compute the least-squares regression line for predicting the time to respond to an auditory (») from the time to respond to a visual stimulus (x). Round the slope and y-intercept values to at least four decimal places. The regression equation is =. X
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