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Chapter 3: Q 71. (page 196)

The figure below is a scatterplot of reading test scores against IQ test scores for 14 fifth-grade children. The line is the least-squares regression line for predicting reading scores from IQ scores. If another child in this class has an IQ score of 110, you predict the reading score to be close to

(a)50.(b)60.(c)70.(d)80.(e)90.

Short Answer

Expert verified

The correct option is (b) 60

Step by step solution

01

Given information

02

Concept

A regression line is a straight line that depicts the change in a response variable y when an explanatory variable x changes. By putting this x into the equation of the line, you may use a regression line to predict the value of y for any value of x

03

Explanation

As indicated in the picture, the line is the least-squares regression line for predicting reading scores from IQ scores. Based on the perpendicular lines formed from the least-squares line to the X-axis and Y-axis, a kid with an IQ of 110 should have a reading score of around 60 Hence, the answer is (b) 60

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