A manufacturing process is suspected to be affected by the

. A manufacturing process is suspected to be affected by the level of humidity. Humidity and scrap data was taken on several days. Use the least squares regression method to determine a prediction equation for the data. Determine the equation first by using matrix calculations in Excel and then using the Excel regression data analysis tool. What is the r squared value? The company would like to know what would happen to the scrap level if the level of humidity level reaches 0.70 (70%). Is the model a good indicator of the effects of humidity on scrap?  

Humidity %                 Scrap %

0                                  0

13                                4

24                                11

32                                15

41                                18

57                                22                               

Please post the answer in Excel format

Solution

Hi

In Excel , create the data as above and create the equation and install data anlysis plugin .

Go to the Data tab and check for data analysis .open data analysis

Give the X and Y value and specify threshold if you want .

Then click ok .

The above

result is obtained when I made the confidence level to 70% .

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.986392
R Square 0.972969
Adjusted R Square 0.966211
Standard Error 1.545241
Observations 6
ANOVA
df SS MS F Significance F
Regression 1 343.7823 343.7823 143.9763 0.000277
Residual 4 9.551077 2.387769
Total 5 353.3333
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 70.0% Upper 70.0%
Intercept 0.270947 1.140146 0.237642 0.823835 -2.89461 3.436499 -1.08533 1.627226
X Variable 1 0.409427 0.034122 11.99901 0.000277 0.31469 0.504164 0.368837 0.450017

The above

result is obtained when I made the confidence level to 70% .

. A manufacturing process is suspected to be affected by the level of humidity. Humidity and scrap data was taken on several days. Use the least squares regress
. A manufacturing process is suspected to be affected by the level of humidity. Humidity and scrap data was taken on several days. Use the least squares regress

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