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Supposed that you were asked to examine the relationship between the height of children and their parents. To conduct such a study, you have collected data from 110 college students, and estimated the following relationship: Studenth_hat=19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Both variables were adjusted so that the average female height was equal to the average male height.) If children, on average, were expected to be of the same height as their parents, then this would imply two hypotheses, one for the slope and one for the intercept.

Supposed that you were asked to examine the relationship between the height of children and their parents. To conduct such a study, you have collected data from 110 college students, and estimated the following relationship: Studenth_hat=19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Both variables were adjusted so that the average female height was equal to the average male height.) If children, on average, were expected to be of the same height as their parents, then this would imply two hypotheses, one for the slope and one for the intercept.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Supposed that you were asked to examine the relationship between the height of children and their parents. To conduct such a study, you have collected data from 110 college students, and estimated the following relationship: Studenth_hat=19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Both variables were adjusted so that the average female height was equal to the average male height.) If children, on average, were expected to be of the same height as their parents, then this would imply two hypotheses, one for the slope and one for the intercept. We reject the null hypothesis for the slope at 1% and we reject the null hypothesis for the intercept at 5%. We do not reject the null hypothesis for the slope at 1% and we reject the null hypothesis for the intercept at 5%. We reject the null hypothesis for the slope at 1% and we do not reject the null hypothesis for the intercept at 5%. We do not reject the null hypothesis for the slope at 1% and we do not reject the null hypothesis for the intercept at 5%.
Transcribed Image Text:Supposed that you were asked to examine the relationship between the height of children and their parents. To conduct such a study, you have collected data from 110 college students, and estimated the following relationship: Studenth_hat=19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Both variables were adjusted so that the average female height was equal to the average male height.) If children, on average, were expected to be of the same height as their parents, then this would imply two hypotheses, one for the slope and one for the intercept. We reject the null hypothesis for the slope at 1% and we reject the null hypothesis for the intercept at 5%. We do not reject the null hypothesis for the slope at 1% and we reject the null hypothesis for the intercept at 5%. We reject the null hypothesis for the slope at 1% and we do not reject the null hypothesis for the intercept at 5%. We do not reject the null hypothesis for the slope at 1% and we do not reject the null hypothesis for the intercept at 5%.
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