At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently
out of alignment and the plant manager is collecting data to assess the situation. The following
table shows 8 trials at different dial settings along with the actual output length of the bars that
were cut. All measurements are in millimeters. (a is in picture) b. Use the data to construct a least-squares regression line to predict output length from dial setting. C. Assume that all conditions for and friends are met. indicate the hypothesis appropriate to test whether there is a linear relationship between output length and dial setting. D. The test statistic for the appropriate test is t=9.018. Does the data provide convincing statistical evidence that there is a linear relationship between output length and Dial setting?