Answered: Take a look at this reference sheet:…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter1: Variables, Expressions, And Integers

Section1.8: The Coordinate Plane

Problem 28E

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Question

Take a look at this reference sheet: http://bit.ly/2yGbKiB The scatter plot shows the number of hits and number of home runs for

$$20

baseball players who had at least

$$10

hits last season. The table shows the values for

$$15

of those players. The model represented by

y=0.15x−1.5

is graphed with the scatter plot. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?

Expert Solution

Step 1

In this case, the number of home runs is predicted on the basis of number of hits. The number of home runs is dependent variable and number of hits is independent variable for this study.

The linear regression model for the prediction of number of home runs $(y)$ on the basis of number of hits $(x)$ is $\hat{y} = (0.15) x - 1.5$ .

In regression, the residual is the difference between the observed value and the predicted value. It can be said that the player with highest residual, will be the player who most outperformed the prediction.