Question: 1. This question is concerned with the following data set: X Y 16 16 16 24 24 24 32 32 32 40 40 40

1. This question is concerned with the following data set: X Y

1. This question is concerned with the following data set: X Y 16 16 16 24 24 24 32 32 32 40 40 40 199 196 200 218 220 223 237 234 235 250 248 253 Answer the following questions, (a) Fit a simple linear regression to this data set. (b) Given that t(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 t(0.025,10) = 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.

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