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: Studenth=19.6+ 0.73x 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. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height.) For the following questions except (d), type your answers in two decimal places. (a) If we test for the statistical significance of the slope coefficient, the relevant f-statistic is f = (b) Construct a 95% confidence interval for a one inch increase in the average of parental height: ( (c) The prediction for the height of a child whose parents have an average height of 70.06 inches is (d) The model explains percent of the variation in the height of students. Hint: type an integer. inches.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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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:
Studenth=19.6+ 0.73x 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. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height.) For the following
questions except (d), type your answers in two decimal places.
(a) If we test for the statistical significance of the slope coefficient, the relevant f-statistic is t =
(b) Construct a 95% confidence interval for a one inch increase in the average of parental height: (
(c) The prediction for the height of a child whose parents have an average height of 70.06 inches is
(d) The model explains
percent of the variation in the height of students. Hint: type an integer.
inches.
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: Studenth=19.6+ 0.73x 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. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height.) For the following questions except (d), type your answers in two decimal places. (a) If we test for the statistical significance of the slope coefficient, the relevant f-statistic is t = (b) Construct a 95% confidence interval for a one inch increase in the average of parental height: ( (c) The prediction for the height of a child whose parents have an average height of 70.06 inches is (d) The model explains percent of the variation in the height of students. Hint: type an integer. inches.
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