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.

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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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