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Use the following information for questions 4 - 8. Thirty randomly selected students are asked to give a rating for both their English and history class on a 0 to 5 scale, where a higher rating indicates the student likes the subject. A regression analysis and residual plot are provided below. Residual plot for history Predictor Coef SE Coef T P rating vs. english rating Constant 1 . 1867 0 . 5574 0 . 042 English 0 . 5254 0 . 1995 * * * * 0 . 014 Residua S = 1. 37707 R-Sq = 19.8% R-Sq(adj) = 17.0% - 2 - 3 English rating 4. Based on the residual plot, which condition for inference may not have been satisfied? (A) The data come from a random sample. (B) Observations for each student are independent. (C) The variance of history ratings is roughly equal for each value of English rating. (D) For each value of English rating, the distribution of history rating is roughly normal. (E) Mean history rating is a linear function of English rating. 5. Using the regression analysis, what will be the value of the test statistic for a test of a linear relationship? (A) 0.014 (B) 0.1995 (C) 1.37707 (D) 2.13 (E) 2.63 Which of the following represents a 99% confidence interval for the slope of the linear relationship? Assume the conditions for inference have been met. A) 0.5254 + 2.763(0.1995) (B) 0.5254 + 2.763 (0.1995) (C) 0.5254 + 2.763 (0.1995 (D) 0.5424 + 2.048(0.1995) E) 0.5254 + 2.048 (0.1995) 7. Which of the following represents the proportion of variation in history class rating that is accounted for by the regression on English class rating? (A) 0.042 (B) 0.014 (C) 0.198 (D) 0.5254 (E) 1.187 8. Which of the following is an appropriate interpretation of the number 0.5254? (A) An increase in history rating of 1 point will increase the predicted English rating by 0.5254 point. (B) An increase in the English rating of 1 point will increase the predicted history rating by 0.5254 point. (C) An English rating of 0 corresponds to a predicted history rating of 0.5254. (D) The ratio of predicted history rating to observed history rating is, on average, 0.5254. (E) The ratio of predicted history rating to observed English rating is, on average, 0.5254. Chapter 15 Quiz