Task 4 - ANOVA, Correlation and Regression

Use any software to solve the following problems

1. A computer manufacturer is introducing a new product specifically targeted at the home market and wishes to compare the effectiveness of three sales strategies: computer stores, home electronics stores, and department stores. Number of sales by 15 sales people are recorded here:

Electronics store: 5,4,3,3,3

Department store: 9,7,8,6,5

Computer store: 7,4,8,4,3

1. Test the hypothesis that there is no difference between the means of the retailers (a=0.05)
2. Select a multiple comparison test, if necessary, to determine which groups differ in mean sales (a=0.05)
3. points)

1. An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 12 people. Higher scores for cognitive function reflect higher levels of performance.

Hours of Sleep	Cognitive Function
8.1	100
5.4	79
6.1	72
7.4	62
9.0	122
8.5	89
6.4	76
9.4	131
8.7	110
7.6	92
9.3	101
9.2	115

1. What is the correlation coefficient between the number of hours of sleep and scores on the measure of cognitivefunction? Provide interpretation of the value.
2. Present a scatter plot from the given data.
3. What conclusion should the investigator draw based on thistest? Is there a significant relationship between the number of hours of sleep and scores on the measure of cognitivefunction?
4. Whatistheregressionequationusedtoobtainpredictedscoresforcognitivefunctionfromthe number of hours of sleep? Provide a brief discussion on the how the regression equation was obtained?

Using the regression equation, what will the predicted score for cognitive function be if a person reports that they get 6.7 hours of sleep?

(50 points)