The O-rings in the booster rockets on the space shuttle are designed to expand when heated...

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The O-rings in the booster rockets on the space shuttle are designed to expand when heated to seal different chambers of the rocket so that solid rocket fuel is not ignited prematurely. According to engineering specifications, the O-rings expand by some amount, say at least 5%, in order to ensure a safe launch. Hypothetical data on the amount of O-ring expansion and the atmospheric temperature in Fahrenheit at the time of several different launches are given in the table below. Temperature %O-ring Expansion 93 22.4 88 21.1 87 20.5 81 19.6 73 18.6 72 19.1 68 17.4 64 16.1 55 15.6 (a) Prepare a scatter plot of the data. Does there appear to be a linear relationship between these variables? Yes, there does appear to be a linear relationship. O No, there appears to be a nonlinear relationship O No, there appears to be no relationship. (b) Obtain a simple linear regression model to estimate the amount of O-ring expansion as a function of atmospheric temperature. What is the estimated regression function? (Let X, represent the temperature in Fahrenheit and Y represent the percentage of O-ring expansion. Round your numerical values to four decimal places.) s P-5.4710+0.1778 x (c) Interpret the R statistic for the model you obtained. (Enter your answer as a percent. Round your answer to two decimal places.) The statistic indicates that approximately 90.61 by temperature. % of the total variation in the percentage of O-ring expansion (d) Suppose that NASA officials are considering launching a space shuttle when the temperature is 24 degrees. What amount of O-ring expansion (in %) should they expect at this temperature according to your model? (Round your answer to two decimal places.) 572 (e) On the basis of your analysis of these data, would you recommend that the shuttle be launched if the temperature is 24 degrees? Why or why not? O No, our estimate in part (d) is below 5% expansion. O Yes, our estimate in part (d) is above 5% expansion No, our estimate in part (d) is an example of extrapolation and we cannot be sure the model will be accurate for temperatures this low. Yes, the scatter plot shows a linear relationship between temperature and O-ring expansion No, the scatter plot shows a nonlinear between temperature and O-ring expansion No, the scatter plot shows no relationship between temperature and O-ring expansion. The O-rings in the booster rockets on the space shuttle are designed to expand when heated to seal different chambers of the rocket so that solid rocket fuel is not ignited prematurely. According to engineering specifications, the O-rings expand by some amount, say at least 5%, in order to ensure a safe launch. Hypothetical data on the amount of O-ring expansion and the atmospheric temperature in Fahrenheit at the time of several different launches are given in the table below. Temperature %O-ring Expansion 93 22.4 88 21.1 87 20.5 81 19.6 73 18.6 72 19.1 68 17.4 64 16.1 55 15.6 (a) Prepare a scatter plot of the data. Does there appear to be a linear relationship between these variables? Yes, there does appear to be a linear relationship. O No, there appears to be a nonlinear relationship O No, there appears to be no relationship. (b) Obtain a simple linear regression model to estimate the amount of O-ring expansion as a function of atmospheric temperature. What is the estimated regression function? (Let X, represent the temperature in Fahrenheit and Y represent the percentage of O-ring expansion. Round your numerical values to four decimal places.) s P-5.4710+0.1778 x (c) Interpret the R statistic for the model you obtained. (Enter your answer as a percent. Round your answer to two decimal places.) The statistic indicates that approximately 90.61 by temperature. % of the total variation in the percentage of O-ring expansion (d) Suppose that NASA officials are considering launching a space shuttle when the temperature is 24 degrees. What amount of O-ring expansion (in %) should they expect at this temperature according to your model? (Round your answer to two decimal places.) 572 (e) On the basis of your analysis of these data, would you recommend that the shuttle be launched if the temperature is 24 degrees? Why or why not? O No, our estimate in part (d) is below 5% expansion. O Yes, our estimate in part (d) is above 5% expansion No, our estimate in part (d) is an example of extrapolation and we cannot be sure the model will be accurate for temperatures this low. Yes, the scatter plot shows a linear relationship between temperature and O-ring expansion No, the scatter plot shows a nonlinear between temperature and O-ring expansion No, the scatter plot shows no relationship between temperature and O-ring expansion.