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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_{1} represent the temperature in Fahrenheit and Y represent the percentage of O-ring expansion . Round your numerical values to four decimal places . )

C) Interpret the R ^ 2 statistic for the model you obtained. Enter your answer as a percent. Round your answer to two decimal places.) The R ^ 2 statistic indicates that approximately _ %

D) Suppose that NASA officials are considering launching a space shuttle when the temperature is 24 degreesWhat amount of O-ring expansion %) should they expect at this temperature according to your model? (Round your answer to two decimal places)

E) On the basis of your analysis of these data, would you recommend that the shuttle be launched the temperature 24 degrees? Why or why not?

The o-ringt 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 0 -ining expand by scme amount, say at least 5% in order to ensure is cafe. launch. Hypothetical data on the amount of o-ring expansion and the atmolpheric temperature in fahirenheit at the time of several different launches are oiven in the table below. (a) Presare a scatter plot of the data. Does there appear to be a linear relationship between these veriabies? Yes, there does appear to be a linear relationship. No, there appears to be a nonlinear relationship. No, there oppears to be no relationsip. (b) Ootain a simple linear regression mede to estimate the amoum of 0 -ring expansion as a function of atmerpheric temperature. What is the estimated regrestion function? (Let x1 represent the temperature in Fahrenheit and Y represent the percentage of o-ring expansion. Round your numerical values to four decimal places.) (c). Interpret the A2 stapistic for the model you obtained. (Enter your answer as a percent. Round your ansaer to two decimal places.) The A2. statitic indicates that epprosimately X of the toda vanaton in q the percentage of o-ring eipansion by temperature. (d) Suppose that Naca omicals are considering iaunching a space shutte when the temperature is 24 degrees. What amount of O-ring expaenson fin W4) should ther erpect at this temperature according to your modei? (Round your anwer to two decimal places.) (o) On the bass of your analysis of these date, would you recommend that the shutde be launched if the temperature is 24 degreest Why or why not? No, our etimate in part (d) is below 5% expansion: Yes, our estimate in gart (a) is above s\% expansion. Wo, our esbinate in part (d) ia an example of extrapolation and we cannot be sure the model will be accurate for temperatures this sow. Yei, the scatter plot shows a linear relationship between temperature and 0 -ring expanson. Wo, the scatter plos shows a nonlinear between temperature and Orring expansion. Ho, the scatter plot ahows no reiaticnshig between temperature and o-ring expansion