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

question 26

Essay

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?

---

Definitions:

Receiver

A person or entity legally appointed to manage the financial affairs of a company or individual in cases such as bankruptcy.

Supply Chain

A network between a company and its suppliers to produce and distribute a specific product to the final buyer.

Produced

The result of manufacturing or creating goods and services through the combination of various resources.

Consumed

Utilized or used up completely, typically referring to resources, products, or services that have been utilized by end-users.