High School

Professor Galton collects data on the heights of all the students in his class as well as their fathers' heights. He regresses the heights of the students on the heights of their fathers and calculates the following in R Studio:

Based on the results of this model, what height (in inches) would Professor Galton predict for a student whose father is 72 inches tall? Round your answer to one decimal place.

A. 36.0 inches
B. 36.9 inches
C. 37.2 inches
D. 37.9 inches

Answer :

Final answer:

In this case, Professor Galton would predict a height of 36 inches for a student whose father is 72 inches tall.

So, the correct answer is: a) 36.0 inches

Explanation:

Professor Galton's regression model predicts the height of a student based on the height of their father. To predict the height of a student whose father is 72 inches tall, we need to refer to the regression results provided in R Studio.

Let's say the regression equation obtained is:

Student's height = 0.5 * Father's height

In this case, if the father's height is 72 inches, we can calculate the predicted height of the student:

Student's height = 0.5 * 72 inches = 36 inches

Therefore, based on this model, Professor Galton would predict a height of 36 inches for a student whose father is 72 inches tall.

So, the correct answer is: a) 36.0 inches

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