In a manufacturing process the assembly line speed (feet per minute) was thought
ID: 3052778 • Letter: I
Question
In a manufacturing process the assembly line speed (feet per minute) was thought to affect the number of defective parts found during the inspection process. To test this theory, managers devised a situation in which the same batch of parts was inspected visually at variety of line speeds. They collected the following data.
a) Develop the estimated regression equation that relates line speed to the number of defective parts found. Explain step by step.
b) At a 0.05 level of significance, determine whether line speed and number of defective parts found are related. Explain step by step.
c) Did the estimated regression equation provide a good fit to the data? Explain.
Line Speed Number of Defective Parts Found 20 21 20 19 40 15 30 16 60 14 40 17Explanation / Answer
(a)
Following is the output of the regression analysis generated by excel->Data Analysis:
The required regression equation is
y' = 22.1729 -0.1478x
(b)
The t test statistics for slope is
t = -3.367
P-value of the test is
P-value = 0.0281
Since p-value is less than 0.05 so we can conclude that line speed and number of defective parts found are related.
(c)
Yes because r-square is 85.97%. That is 85.97% of variation is dependent variable explained by model.
SUMMARY OUTPUT Regression Statistics Multiple R 0.859726954 R Square 0.739130435 Adjusted R Square 0.673913043 Standard Error 1.489090764 Observations 6 ANOVA df SS MS F Significance F Regression 1 25.13043478 25.13043478 11.33333333 0.028134748 Residual 4 8.869565217 2.217391304 Total 5 34 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 22.17391304 1.652745896 13.41640786 0.000178521 17.58515479 26.7626713 Line Speed, X -0.147826087 0.043910891 -3.366501646 0.028134748 -0.269742265 -0.025909908Related Questions
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