Perform the required correlation test. You may presume that the assumptions for regression inferences are met.
-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 consist of the students' GPAs (x)on entering the program and their current GPAs (y). $\begin{array} { l l l l l l l l l l l } \hline x & 3.5 & 3.8 & 3.6 & 3.6 & 3.5 & 3.9 & 4.0 & 3.9 & 3.5 & 3.7 \ \hline \mathrm { y } & 3.6 & 3.7 & 3.9 & 3.6 & 3.9 & 3.8 & 3.7 & 3.9 & 3.8 & 4.0 \ \hline \end{array}$
The sample linear correlation coefficient is r = 0.043. At the 5% significance level, do the data provide sufficient evidence to conclude that entering GPA and current GPA are linearly correlated?

Question

Perform the required correlation test. You may presume that the assumptions for regression inferences are met.
-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 consist of the students' GPAs (x)on entering the program and their current GPAs (y).  $\begin{array} { l l l l l l l l l l l }  \hline x & 3.5 & 3.8 & 3.6 & 3.6 & 3.5 & 3.9 & 4.0 & 3.9 & 3.5 & 3.7 \ \hline \mathrm { y } & 3.6 & 3.7 & 3.9 & 3.6 & 3.9 & 3.8 & 3.7 & 3.9 & 3.8 & 4.0 \ \hline \end{array}$ 
The sample linear correlation coefficient is r = 0.043. At the 5% significance level, do the data provide sufficient evidence to conclude that entering GPA and current GPA are linearly correlated?

Quizplus · Accepted Answer

The Answer is

\begin{array} { l } H _ { 0 } : Q = 0 \ H _ { a } : Q eq 0 \end{array}

Test statistic:

\mathrm { t } = 0.12

Critical values:

\mathrm { t } = \pm 2.306

Do not reject

\mathrm { H } _ { 0 }

. At the

5 \%

significance level, the data do not provide sufficient evidence to conclude that entering GPA and current GPA are linearly correlated.

Perform the Required Correlation Test The Sample Linear Correlation Coefficient Is R = 0