Mixo Inc. is forecasting its products quality on a scale of 0 to 100 based on ho

Question

Mixo Inc. is forecasting its products quality on a scale of 0 to 100 based on how many hours are spent for each product? AND how many hours spent if he wants product quality to be 95? Data are in the following table:

QUALITY                              HOURS SPENT

50                                           10

60                                           15

70                                           20

80                                           24         

90                                           30

Explanation / Answer

We can use the linear regression model to find the number of hours spend to get a quality of 95.

Let hours spent be "y" and quality be "x"

b = (NXY - (X)(Y)) / (NX2 - (X)2)

(5*7420 - 350*99)/(5*25,500 - 350^2) = (2450/5000) = 0.49

a = (Y - b(X)) / N

(99 - 0.49*350)/5

= - 14.5

Thus the equation is: y = -14.5+0.49b

when the quality is 95, then hours will be:

-14.5+(0.49*95) = -14.5+46.55 = 32.05 hours or 32 hours (rounded).

Quality (x) Hours spend "y" xy x^2 50 10 500 2500 60 15 900 3600 70 20 1400 4900 80 24 1920 6400 90 30 2700 8100 Total 350 99 7420 25500

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