1. This question is concerned with the following data set: 16 Х Y 16 199 16 196 24 218 24 220 24 223 32 32 32 237 234 23

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1. This question is concerned with the following data set: 16 Х Y 16 199 16 196 24 218 24 220 24 223 32 32 32 237 234 235 40 250 40 248 200 40 253 Answer the following questions, without using any statistical software (except the last part as specified below). (a) Fit a simple linear regression to this data set. (b) Given that (0.025,10) = 2.228139, compute the 95% confidence interval of the slope. (c) Estimate E(Y|X = 28). Given that t(0.025, 10) = 2.228139, compute the corresponding 95% confi- dence interval (d) Given that 10.028, 10) = 2.228139, construct a prediction interval for a new observation if you know that its predictor value is 42. (e) Construct the corresponding ANOVA table. Use the computed P-value to test if O at signifi- cance level = 0.05. (You can use R to find the critical value or p-value)