In a manufacturing process the assembly line speedfeet per m

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 a variety of line speeds. They collected the following date.
Line Speed (x), Number of defective parts found (y)
20 21
20 19
40 15
30 16
60 14
40 17

a. Develop the estimated regression equation that relates line speed to the number of defective parts found.

b. What is the number of defective parts found when the line speed is 45 feet per minute?

c. Compute SSE, SST, and SSR.

d. Compute the coefficient of determination. Did the estimated regression equation provide a good fit to the data?

e. Compute the sample correlation coefficient between the number of defective parts found and the line speed.

f. Develop an ANOVA table for this problem. Is the relationship between price and units sold significant? Use = 0.05.

Solution