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418-19-Correlation Extra Practice

418-19-Correlation Extra Practice - Y2 X*Y 11 121 6 36 66...

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1 Correlation (Chapter 6) Practice Problem Researchers want to examine the relationship between cost of internet service per month (rounded to the nearest dollar) and the degree of customer satisfaction on a scale from 1 to 10 (1 = not at all satisfied ; 10 = extremely satisfied ) Data Subject ID Dollars Satisfaction 1 11 6 2 18 8 3 17 10 4 15 4 5 9 9 6 5 6 7 12 3 8 19 5 9 22 2 10 25 10
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2 State the Hypotheses H 0 :cost of internet service and customer satisfaction will be unrelated H a : cost of internet service and customer satisfaction will be positively related Degrees of Freedom & CV df = n - 2 = 10 - 2 = 8 r cv = .63 Calculate X 2 , Y 2 , and X*Y X X2 Y
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Unformatted text preview: Y2 X*Y 11 121 6 36 66 18 324 8 64 144 17 289 10 100 170 15 225 4 16 60 9 81 9 81 81 5 25 6 36 30 12 144 3 9 36 19 361 5 25 95 22 484 2 4 44 25 625 10 100 250 153 2679 63 471 976 Σ X Σ X 2 Σ Y Σ Y 2 Σ XY 3 Calculating r X X2 Y Y2 X*Y 153 2679 63 471 976 = 12.1 / 338.1*74.1 = 12.1 / 158.28 = = .08 976 - (153)(63) 10 2679 - 153 2 471 - 63 2 10 10 ! Σ X Σ X 2 Σ Y Σ Y 2 Σ XY Drawing Conclusions r obs < r cv , p > .05, not significant We cannot reject the H There is no significant relationship between the cost of internet service per month and customer satisfaction. Graphing...
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