1Homework 1 (50 pts) due Aug 31 A reminder – Questions must be answered in order (including graphs), and all graphs must be fully labeled (main title should include the question number, and all axes should be labeled). Attached the (well labeled) RMD file used for all questions at the end of the homework. 1. (13 pts.) A regression analysis relating test scores (Y) to training hours (X) produced the following fitted equation: Ŷ = 20 – 0.6X. Be sure to show your work for all parts in this question. a) (2) What is the fitted value of the response variable corresponding to X = 4? b) (2) What is the residual corresponding to the data point with X = 5 and Y = 21? c) (2) If X decreases by 3 units, how does Ŷ change? d) (2) An additional test score is to obtained for a new observation at X = 7. Would the test score for the new observation necessarily be 15.8? Explain. e) (2) The error of sums of squares (SSE) for this model was found to be 15.3. If there were n = 20 observations, provide the best estimate for σ2.
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