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Question
find the equation for the least squares regression line of the data described below.
jasmine is an editor reviewing short story submissions for a literary magazine.
she collected data showing that shes an efficient reviewer and wants to leverage
this to get a raise.
for a week, jasmine recorded the number of words in each short story
submission, x, and how long it took her to review that story (in minutes), y.
round your answers to the nearest thousandth.
y = x +
Step1: Input data into calculator
Using a graphing calculator or statistical software, input the \(x\)-values (words: \(3246, 3572, 3734, 3947, 4653, 6858, 6998, 7056\)) and \(y\)-values (minutes: \(32.05, 39.50, 30.64, 33.66, 45.89, 36.08, 59.49, 55.91\)).
Step2: Calculate regression line
Perform the linear regression function (e.g., \(LinReg(ax + b)\) on a TI - 84). The calculator will compute the slope \(a\) and the \(y\)-intercept \(b\).
After calculation, the slope \(a\approx0.005\) and the \(y\)-intercept \(b\approx20.976\)
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\(y = 0.005x+20.976\)