Project #69397 - Statistics

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

Answers to exercise questions.

 

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

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
   
 = 3.88  = 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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