STAT 331 Homework 3 1. If r2 = 0 then SSR = ? a) 1 b) SST c) 0 d) SSE 2. A simple linear model, y = 0 + 1X + , is estimated using a sample size of n = 30. Complete the ANOVA table for this model. (Round your answers to three decimal places where necessary). Source Regressio n Error Total Df SS MS 1 254 576 3. Find the value of S in a simple linear model, if SSE = 200 and n = 10. (Round your answer to two decimal places when necessary.) 4. Use the information given below to create a 95% Prediction Interval for Y when X = 250. (Round your final answers to two decimal places.) ^y = 196 + 0.7X n = 10 S = 25 SSxx = 96080 SSyy = 52079.2 SSxy = 67256 x = x-bar = 298 95% Prediction Interval for Y when X = 250 is: a) b) c) d) (309.88, 432.12) (400.01, 467.99) (231.55, 510.45) (196.00, 371.00) 5. Use the information from question 4 to create a 95% Confidence Interval for E(Y) when X = 300. a) (185.45, 637.68) b) (215.74, 568.91) c) (406.00, 602.00) d) (387.77, 424.23) 6. Use the ANOVA table given below to find the following values: Source Regressio n Error Total Df SS MS 1 113.75 113.75 25 26 61.25 175 2.45 a) r2 = ______ b) s2 = _______ c) n = _______ 7. Use the Regression Identity to find the following values: a) If SSE = 200 and SSR = 500, then SST = _____ b) If SST = 2212 and SSR = 1512, then SSE = _____ c) If SST = 800 and r2 = 0.60, then SSE = ______