# Calculation Of Correlation Between Study Hours And Score For A Test By A Company

Question

Umbrella Corporation requires that its production employees to pass safety training courses before they are allowed to work with dangerous chemicals. This year, Umbrella decided to offer free test preparation services to five of its employees who took the test. After taking the exam, the employee was asked to fill out a survey asking, among other things, how many total hours he or she spent studying for the test. The employee’s score (out of 100) was then recorded, producing the following data set:

 x y 2 40 3 70 5 96 8 64 9 45

a). Calculate the correlation, r, between Study_Hours (x) and Score (y).
b). Interpret the number you calculated in (a) in the context of studying and scoring highly on a test.
c). Plot the data neatly in a scatter plot. Be sure to label both axes and make the plot readable.
d). Explain why the plot in (c) does not agree with the number in (a).
e). Human Resources, which pays for and oversees the test preparation program, wishes to know the relationship between study hours and test score. What should you tell them, based on the analysis in a-c?

Summary

The question belongs to Statistics and it discusses about calculation of correlation between study hours and score for a test by a company. The data has been plotted on the scatterplot and it needs to be interpreted.

Total Word Count 200

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