the data? 25. Which of the labeled points below will exert the largest leverage on a lincar model of DO B 140 130 D 120 110 100 . C 100 120 140 160 X (@) Point A (b ) Point B (c) Point C (d) Point D (c) Point E22. On the basis of a sample of size 9 from a population, one finds that a 95% cops dence interval for the population mean a is (63, 76). The width of this interval is 76 -63 = 13. What is the width of the 98% confidence interval for /? Round your answer to two decimal places. (If none of the choices given below gives the exact answer, please pick the closest valuc.) n = 9 (a) 29.98 (b) 37.65 63- 695 76 (c) 16.33 10.35 (c) 14.57 23. A restaurant chain collected data on total fat (denoted by fat) in grams and the protein content in grams for various items on their menu. Some summary statistics of this data are shown below: protein fat Mcan 33.7 35.1 Standard deviation 10 9.2 The least-squares regression equation for predicting total fact from protein content is fat = 8.1 + 0.8 x protein. Calculate the correlation between protein and fat. (a) 0.74 (b) 0.54 (c) 0.92 (d) 0.96 (c) 0.87 - 24. If the slope of the regression line of y on a is calculated to be -48.6 and the y-intercept -37.6 then the predicted value of y when x is 3 is: (You may assume that x = 3 is within the range of the values of r). (a) -183.4 108.2 (c) -108.2 (a ) -145.8 (c) -161.4 1019. In a statistics class, 30% of students have taken Linear Algebra, 45% of the students have taken Calculus, and 15% have taken both Linear Algebra and Calculus. If a student is randomly selected from this class, what is the probability that he/she has taken either Linear Algebra or Calculus but not both? (a) 0.45 P ( LA ) = 30 fud 0.6 P ( C ) = . 45 (C) 0.75 PCB ) = 15 PC (d) 0.9 (c) None of the orther choices gives the correct answer 20. Let A and B be two events in a random experiment. The probability of event A is 0.12, the probability of event B is 0.24 and the two events are independent. What is the value of P(A| B) ? P ( G 25 ) x PC : 12 ) (a) 0.24 P ( A ) =_ 12 P Co- 24) (B) 0.12 " (B ) = 0.24 (c) 0.5 PCAIB ) = PCBUA ) B ( B ) (d) 0.0288 (c) None of the orther choices gives the correct answer 21. The grades in a large statistics class have a Normal distribution with mean 69. If 10% of the students in the class had grades below 64, what percent of students in this class have grades between 64 and 74? Note: In order to avoid complications, you may assume that no student in this class had a grade exactly cqual to 64 or 74. (a) 90 percent (b) 20 percent roo 150 90 (c) 10 percent 80 percent mean = 69 (c) None of the orther choices gives the correct answer 64- 74 90