A manufacturing company has three processing lines. Each processing line combines various raw materials to produce the same output, Y. One of the processing lines can combine units of input (X) to produce units of output (Y) such that there is a linear relationship between X and Y. The Chief Executive Officer wants the output model to be estimated for this processing line. Given the values of X and Y (in thousands of units) in the table below, and as the Director of Data Management, you are to: x 5 7 2 8 4   8 12 6 14 8   Find the value of the coefficient of determination and interpret your result What will be the output level if the input usage is 15? What percentage of the changes in output is due to other raw materials apart from X?

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A manufacturing company has three processing lines. Each processing line combines various raw materials to produce the same output, Y. One of the processing lines can combine units of input (X) to produce units of output (Y) such that there is a linear relationship between X and Y. The Chief Executive Officer wants the output model to be estimated for this processing line. Given the values of X and Y (in thousands of units) in the table below, and as the Director of Data Management, you are to:

x

5

7

2

8

4

 

8

12

6

14

8

 

  1. Find the value of the coefficient of determination and interpret your result
  2. What will be the output level if the input usage is 15?
  3. What percentage of the changes in output is due to other raw materials apart from X?
  4. Test at 1 percent significance level, whether the correlation between X and Y exist.
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