A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line. The managers believe that there is a relationship between the defect rate and the production rate per hour.  The managers believe that they can use production rate to predict the number of defects. The following data were collected for 10 randomly selected hours.     Defects (Y) Production rate per hour(X) 2 40 3 45 1 35 2 37 3 40 2 40 3 45 2 30 1 30 4 30   (a). Construct a scatter plot diagram and comment on the relationship between y and x (b). Calculate the correlation coefficient (r) between x and y and comment on the result. (c). Find the coefficient of determination and interpret the result.

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  • A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line. The managers believe that there is a relationship between the defect rate and the production rate per hour.  The managers believe that they can use production rate to predict the number of defects. The following data were collected for 10 randomly selected hours.

 

 

Defects (Y)

Production rate per hour(X)

2

40

3

45

1

35

2

37

3

40

2

40

3

45

2

30

1

30

4

30

 

  • (a). Construct a scatter plot diagram and comment on the relationship between y and x
  • (b). Calculate the correlation coefficient (r) between x and y and comment on the result.
  • (c). Find the coefficient of determination and interpret the result.

 

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