Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studen th = 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. Interpret the estimated slope coefficient and intercept coefficient. What is the meaning of the regression R2 ? What is the prediction for the height of a child whose parents have an average height of a. b. с. 70.06 inches?

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Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of
children and their parents towards the end of the 19th century. It is from this study that the name
"regression" originated. You decide to update his findings by collecting data from 110 college
students, and estimate the following relationship:
Studen th = 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.
Interpret the estimated slope coefficient and intercept coefficient.
What is the meaning of the regression R2 ?
What is the prediction for the height of a child whose parents have an average height of
70.06 inches?
a.
b.
с.
d.
What is the interpretation of the SER here?
Is the slope coefficient statistically significantly different from zero (at the 5%
significance level)?
e.
Transcribed Image Text:Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studen th = 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. Interpret the estimated slope coefficient and intercept coefficient. What is the meaning of the regression R2 ? What is the prediction for the height of a child whose parents have an average height of 70.06 inches? a. b. с. d. What is the interpretation of the SER here? Is the slope coefficient statistically significantly different from zero (at the 5% significance level)? e.
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