# Regression

## OBJECTIVES

• Interpret the strength of a linear association between two variables in a scatter plot
• Calculate and interpret the correlation coefficient for a given data set
• Calculate and interpret the coefficient of determination for a given data set
• Construct a regression line for given data
• Use a regression equation for prediction of a population parameter
• Find and use the standard error of the estimate for a regression line

## ASSIGNMENT OVERVIEW

This assignment uses correlation and regression to determine the relationship between two variables.

## DELIVERABLES

Step 1Â Solve the following problems.Â Show ALL work. Answers with no work will not receive full credit.Â

Find solutions to the following problems. Be sure to include a statement about significance and variability between the variables.

1. In a study of caffeine and stress, college students indicate how many cups of coffee they drink per day and their stress level on a scale of 1-10. The data appear below:

 Number of Cups of Coffee Stress Level 3 5 2 3 4 3 6 9 5 4 1 2 7 10 3 5 Â Â Â = 3.88 Â = 5.13 s = 2.03 s = 2.90

1. Determine the regression equation for predicting stress level from the amount of coffee per day one consumes.
2. Predict the stress level for someone who drinks 8 cups of coffee a day

 Subject Mathematics Due By (Pacific Time) 05/01/2015 12:00 am
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