If you don't mind and have time. Please help me solve these problems below. And explain it if you can. Thank you a lot.

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Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Line Number of Speed Defective Parts Found 20 24 20 20 30 19 3 16 40 15 40 17 50 15 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. 25 9 25 25 25 20 20 20 20 15 15 15- 15 Number of Defective Parts Number of Defective Parts Number of Defective Parts Number of Defective Parts 10 10 10 10 5 5 0 10 20 30 40 50 60 0 10 20 30 40 50 60 0 10 20 30 40 50 60 10 20 30 40 50 60 O Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) Line Speed (feet per minute) (b) What does the scatter diagram developed in part (@) indicate about the relationship between the two variables? O There appears to be a positive relationship between line speed (feet per minute) and the number of defective parts. O There appears to be a negative relationship between line speed (feet per minute) and the number of defective parts. O There appears to be no noticeable relationship between line speed (feet per minute) and the number of defective parts. (c) Use the least squares method to develop the estimated regression equation. y = (d) Predict the number of defective parts found for a line speed of 45 feet per minute.A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is P = 81 + 4x. salesperam [Yeats :fpe wgi'm? l l 80 2 3 9? 3 4 9? 4 4 107 5 6 103 6 8 101 7 10 119 E 10 123 9 11 127 10 13 136 (a) Compute SST. SSR, and SSE. SST = SSR = SSE = (b) Compute the coefcient of determination r2. (Round your answer to three decimal places.) ,2: Comment on the goodness of t. {For purposes of this exercise, consider a proportion large lf it is at least 0.55.) O The least squares line did not provide a good t as a large proportion of the variability in y has been explained by the least squares line. 0 The least squares line provided a good t as a small proportion of the variability in y has been explained by the least squares line. 0 The least squares line provided a good t as a large proportion of the variability in y has been explained by the least squares line. 0 The least squares line did not provide a good t as a small proportion of the variability in V has been explained by the least squares line. (c) What is the value of the sample correlation coefcient? {Round your answer to three decimal places.)