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#1. Daily Income and Expenditure of individuals are given below Income (X) $ Expenditure (Y) $ 120 100 155 120 160 140 180 145 210

#1. Daily Income and Expenditure of individuals are given below

Income (X) $ Expenditure (Y) $
120 100
155 120
160 140
180 145
210 220
250 225
110 95
150 117
85 70
258 200
111 78
319 221

  1. Use the data above to find Sum of X, Sum of Y, Sum of X * Y, Sum ofX * X, Sum of Y * Y

Sum of X= 2,108 Sum of Y= 1,731 Sum of X * Y= 3,648,948

Sum of X * X= 4,443,664 Sum of Y * Y= 2,996,361

  1. Use one of the formulas (given in slide on Module7, page 7). to calculate sample correlation coefficient (r). What is the degree of relationship between income and expense?

  1. Check your answer in part (b) by using r function to calculate correlation coefficient cor(x,y).

  1. Write five steps to test the claim that correlation coefficient is not zero. Use alpha= 5%.

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