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nd believes that the number ne caregi Page ome data is provided below: 1 s the score Jords Per Day (x): ¤ = 1742

nd believes that the number ne caregi Page ome data is provided below: 1 s the score Jords Per Day (x): ¤ = 1742

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A psychology student is studying human development and believes that the number of words spoken per day by the caregivers affects the score on a reading test at age 8. Some data is provided below: - Words Per Day (\(x\)): \(\bar{x} = 17422\), \(s_x = 3506.492\) - Test Score (\(y\)): \(\bar{y} = 85\), \(s_y = 7.176\) The correlation between Words Per Day and Test Score is \(r = 0.998\). (a) Find the least squares regression line. (b) Predict the test score for a child whose caretaker spoke 12620 words per day.
Transcribed Image Text:A psychology student is studying human development and believes that the number of words spoken per day by the caregivers affects the score on a reading test at age 8. Some data is provided below: - Words Per Day (\(x\)): \(\bar{x} = 17422\), \(s_x = 3506.492\) - Test Score (\(y\)): \(\bar{y} = 85\), \(s_y = 7.176\) The correlation between Words Per Day and Test Score is \(r = 0.998\). (a) Find the least squares regression line. (b) Predict the test score for a child whose caretaker spoke 12620 words per day.
Expert Solution
Step 1

According to the  sum, x=17422,sx=3506.492

and y=85 sy=7.176

The correlation between words per day and test score is r=0.998.

Let, the regression line be, y=a+bx

a=y-bx

=85-(0.0000000812)*17422

=84.9985

and

b=rsx2=0.99812295486.1=0.0000000812

a) the regression equation is , y=a+bx

y=84.9985+0.0000000812x

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