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In a Study of the Factors That Affect Success in Economics,data

Question 138

Multiple Choice

In a study of the factors that affect success in economics,data were collected for 8 business students.Scores on a calculus placement test are given with economics final exam scores.The data are below.  Calculus  Placement Score  Exam Final  Score 17732166116416611570117124902768\begin{array} { | l | l | } \hline \begin{array} { l } \text { Calculus } \\\text { Placement Score }\end{array} & \begin{array} { l } \text { Exam Final } \\\text { Score }\end{array} \\\hline 17 & 73 \\\hline 21 & 66 \\\hline 11 & 64 \\\hline 16 & 61 \\\hline 15 & 70 \\\hline 11 & 71 \\\hline 24 & 90 \\\hline 27 & 68 \\\hline\end{array}
It can be shown that for these data: Xˉ=17.75,yˉ=70.38,i=18(xixˉ) 2=237.50\bar{X}=17.75, \quad \bar{y}=70.38, \quad \sum_{i=1}^{8}\left(x_{i}-\bar{x}\right) ^{2}=237.50
i=18(yiyˉ) 2=545.875,i=18(xixˉ) (yiyˉ) =140.75\sum_{i=1}^{8}\left(y_{i}-\bar{y}\right) ^{2}=545.875, \quad \sum_{i=1}^{8}\left(x_{i}-\bar{x}\right) \left(y_{i}-\bar{y}\right) =140.75
Calculate the sample correlation coefficient.


A) 0.15
B) 0.11
C) 0.39
D) -0.39
E) -0.11

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