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Question 2 Use the data to answer the following questions. You may use excel or your calculator 1. What is the sample covariance of the commute time and rainfall? 2. What is the correlation of commute time and rainfall? 3. How would you describe the relationship between commute time and rainfall (interpret the correlation coefficient)? verage Weekly Commute Time Rain (Inches) Observation (min) Week 1 Week 2 Week 3 Week 4 Week 5 50 30 25 10 6
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Answer #1

Ans. let the average weekly commute time (X) and Rainfall (Y)

Ans. 1 sample covariance of commute time and rainfall is 37.83

Rcun(t) weele20 %8.761 7.8 y o. 36 o.72- week 1 25 wehS 22 5 o.oY S1-32 Σメ ly子 29. cov(x,y) 5.2 37.8

Ans.2 the correlation between commute time and rainfall is 0.88

12.0 니 n- NoLW 37.8 12.07 x

Ans. 3. There is a highly positive relationship between commute time and rainfall as the correlation indicated the high positive correlation between commute time and rainfall.

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