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Find the Value of the Linear Correlation Coefficient R A) y^=4.91+0.0212x\hat{y} = 4.91 + 0.0212 x

Question 45

Multiple Choice

Find the value of the linear correlation coefficient r.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.  Entering GPA  Current GPA 3.53.63.83.73.63.93.63.63.53.93.93.84.03.73.93.93.53.83.74.0\begin{array}{cc}\text { Entering GPA } & \text { Current GPA } \\\hline 3.5 & 3.6 \\3.8 & 3.7 \\3.6 & 3.9 \\3.6 & 3.6 \\3.5 & 3.9 \\3.9 & 3.8 \\4.0 & 3.7 \\3.9 & 3.9 \\3.5 & 3.8 \\3.7 & 4.0\end{array}


A) y^=4.91+0.0212x\hat{y} = 4.91 + 0.0212 x
B) y^=5.81+0.497x\hat{y} = 5.81 + 0.497 x
C) y^=2.51+0.329x\hat { y } = 2.51 + 0.329 x
D) y^=3.67+0.0313x\hat { y } = 3.67 + 0.0313 x

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