Use technology to compute and interpret the correlation coefficient of a linear fit.
Read and interpret the correlation coefficient r from linear regression technology output
Problem
A technology output shows \(\text{LinReg}~y~=~ax~+~b\) with \(a~=~2.1\), \(b~=~4.5\), and \(r~=~0.82\). What is the correlation coefficient?
Big Picture
What this problem is really about
Regression output contains several numbers with different jobs. Use the labels before interpreting the decimals: the line’s coefficient and constant are slope and intercept, while the separately labeled correlation coefficient summarizes linear direction and strength; its sign should agree with the fitted slope’s direction.
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