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A researcher wishes to examine the relationship between number of words a child speaks at age two and their score on the SATS 15 years later. The researcher discovers a linear relationship between the data sets, and the least squares line is: ý = 94+ 153x where x is the number of words a child speaks at age two and y is their score on the SATS 15 years later. The slope of the regression line can be interpreted in the following way: When amount of words spoken at two increases by one word, the SAT score tends to decrease by 153. OWhen amount of words spoken at two increases by one word, the SAT score tends to increase by 153. O When amount of words spoken at two increases by one word, the SAT score tends to decrease by 94. O When amount of words spoken at two increases by one word, the SAT score tends to increase by 94.

A researcher wishes to examine the relationship between number of words a child speaks at age two and their score on the SATS 15 years later. The researcher discovers a linear relationship between the data sets, and the least squares line is: ý = 94+ 153x where x is the number of words a child speaks at age two and y is their score on the SATS 15 years later. The slope of the regression line can be interpreted in the following way: When amount of words spoken at two increases by one word, the SAT score tends to decrease by 153. OWhen amount of words spoken at two increases by one word, the SAT score tends to increase by 153. O When amount of words spoken at two increases by one word, the SAT score tends to decrease by 94. O When amount of words spoken at two increases by one word, the SAT score tends to increase by 94.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
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A researcher wishes to examine the relationship between number of words a child speaks at age two and their score on the SATS 15 years later. The researcher discovers a linear relationship between the data sets, and the least squares line is: ŷ = 94 + 153x where x is the number of words a child speaks at age two and y is their score on the SATS 15 years later. The slope of the regression line can be interpreted in the following way: O When amount of words spoken at two increases by one word, the SAT score tends to decrease by 153. O When amount of words spoken at two increases by one word, the SAT score tends to increase by 153. OWhen amount of words spoken at two increases by one word, the SAT score tends to decrease by 94. When amount of words spoken at two increases by one word, the SAT score tends to increase by 94.
Transcribed Image Text:A researcher wishes to examine the relationship between number of words a child speaks at age two and their score on the SATS 15 years later. The researcher discovers a linear relationship between the data sets, and the least squares line is: ŷ = 94 + 153x where x is the number of words a child speaks at age two and y is their score on the SATS 15 years later. The slope of the regression line can be interpreted in the following way: O When amount of words spoken at two increases by one word, the SAT score tends to decrease by 153. O When amount of words spoken at two increases by one word, the SAT score tends to increase by 153. OWhen amount of words spoken at two increases by one word, the SAT score tends to decrease by 94. When amount of words spoken at two increases by one word, the SAT score tends to increase by 94.
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