Unit 9 Progress Checks FRQ Name: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods ell as on the accuracy and completeness of your results and explanations. Question 1 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. Dial Setting Output Length 75 78 77 79 79 82 80 83 81 85 82 83 83 86 85 88 a) Use the following grid to construct a scatterplot in which the dial setting is the explanatory variable and output ength is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer. 887 8 8 8 Output Length (millimeters) 80 78+ 76+ 74 76 78 80 82 84 86 Dial Setting b) Use the data to construct a least-squares regression line to predict output length from dial setting.c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting. I nolteou Wwwvor beatvel shinbemis leste to aisd asqulostunam Jeri Insiq s Restraw Menpa aheib word pevswall luo ed of 216d ers to ripnal or else to is unit deworld eldes paiwollor erT noitsutie endi eeseals of sisb enitsall Bent-buquo enifee Isia d) The test statistic for the appropriate test is t = 9. 018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting? SS er 08 18 . 28 el unitbros tells of i now ni folg elisse s foundlenoo of big eniwollot er eau (B thi stheob fgap joy no beasa eldenEv eenoq291 eri zi ripnel