6.3 3) Suppose that some researchers analyzed the relationship between fathers' and sons' IQ scores for a group of men. Suppose they discovered that the relationship was reasonably linear and they calculated a regression line of y= 12 +0.9x where x = father's IQ and y= son's predicted IQ. a) Identify the explanatory and response variables. b) Identify and interpret the slope in the context of the problem. c) Identify and interpret the y-intercept in the context of the problem.
6.3 3) Suppose that some researchers analyzed the relationship between fathers' and sons' IQ scores for a group of men. Suppose they discovered that the relationship was reasonably linear and they calculated a regression line of y= 12 +0.9x where x = father's IQ and y= son's predicted IQ. a) Identify the explanatory and response variables. b) Identify and interpret the slope in the context of the problem. c) Identify and interpret the y-intercept in the context of the problem.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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6.3 3) Suppose that some researchers analyzed the relationship between fathers' and sons' IQ scores for a group
of men. Suppose they discovered that the relationship was reasonably linear and they calculated a regression
line of y = 12 +0.9x where x = father's IQ and y = son's predicted IQ.
a) Identify the explanatory and response variables.
b) Identify and interpret the slope in the context of the problem. c) Identify and interpret the y-intercept in the context of the problem.
d) Do your answers to (b) and (c) seem reasonable? Why or why not?
e) What would you predict a son's IQ to be if his father has an IQ of 120? What if the father had an IQ of 140?
f) If you knew that the original data included fathers with IQs from 108 to 145.
explain why it would be inappropriate to use your model to predict a son's IQ if his father's IQ were 170
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