Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = heig (in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men. The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s = 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met. State the appropriate null and alternative hypotheses. OH: B=0 H₂B>0 OHO: B>0 H: B<0 OH: B=0 H₂: B=0 OHO: B<0 H: B>0 OHO: B = 0 H₂: B<0 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = What can you conclude? O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings. O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = heig (in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men. The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s = 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met. State the appropriate null and alternative hypotheses. OH: B=0 H₂B>0 OHO: B>0 H: B<0 OH: B=0 H₂: B=0 OHO: B<0 H: B>0 OHO: B = 0 H₂: B<0 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = What can you conclude? O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings. O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = height
(in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men.
The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s= 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing
evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met.
State the appropriate null and alternative hypotheses.
OHO: B=0
H: B>0
OHO: B>0
H₂: B<0
OHO: B=0
H2:B.O
OHO: B<0
H: B>0
OH: B = 0
H: B<0
Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
What can you conclude?
O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings.
O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings.
O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
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