Business Analytics: From the following data and given output, determine the equation of the regression line and correlation coefficient.

BDA 201: Introduction to Business Analytics

  1. From the following data and given output, determine the equation of the regression line and correlation coefficient. Test the slope of the regression model to determine whether there is a significant negative slope, use t test. Use Alpha =.05. Test also the overall model.

   X               4          6          7          11        14        17        21

Y               18        12        13        8          7          7          4

  1. Develop the equation of the regression model for the following data. Comment on the regression coefficients. Determine the predicted value of y for x1 = 33, x2 = 29, and x3 = 13. Use F test of overall significance of the multiple regression model at alpha =0.05.

 

Y            x1               x2               x3

114        21`              6                 5

94          43               25               8

87          56               42               25

98          19               27               9

101        29               20               12

85          34               45               21

94          40               33               14

107        32               14               11

119        16               4                 7

93          18               31               16

108        27               12               10

117        31               3                 8

 

 

 

 

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