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(1 point) The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable ar amount the response variable. Bill | 32.98 106.27 52.44 70.29 64.30 88.01 Tip 4.50 16.00 7.00 10.00 7.70 10.00 (a) Find the correlation: T = (b) Does there appear to be a significant correlation? OA. Yes OB. No c) The regression equation is y d) If the amount of the bill is $75, the best prediction for the amount of the tip is Note: Enter your answer in dollars: $ xx.xx (e) According to the regression equation, for every $5 increase in the bill, the tip should (Enter INCREASE or DECREASE) by Note: You can earn partial credit on this problem. O Search E(1 point) Find the least-squares regression line y - bo + biz through the points (-1, 2), (1, 6), (6, 13), (9, 19), (10, 23) and then use it to find point estimates y corresponding to z = 3 and z = 7. For = = 3, y = For = = 7, y = Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining Email WeBWork TA enerated at 11/10/2022 at 03:16pm ES O Search P(1 point) The average life expectancy in the United States, L, has been rising steadily over the past few decades, as shown in the table below. Let t be the number of years since 1920. (so t = 0 represents the year 1920). Year 920 1930 1940 1950 1960 1970 1980 1990 Life expectancy 53.9 57.2 60.9 62.4 66.3 68.2 72.8 75.3 (a) Find the equation of the regression line. Average life expectancy, L(t) = Note: this is a function of t (not a). (b) Estimate the average life expectancy in the United States in the year 1955 according to the linear model in part (a). Average life expectancy in 1955 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 4 attempts remaining Email WeBWork TA O Search ace S P(1 point) Find the least-squares regression line y = bo + biz through the points (-1,0), (0, 6), (6, 13), (9, 18), (11, 26) For what value of x is y - 0? Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email WebWork TA PG-2 14 The WeBWork Project O Search E(1 point) A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 10 students in the class are shown in the table below. Student Verbal Score _ Final Grade y 1 44 94 2 44 83 3 74 89 4 56 64 5 56 69 6 72 69 7 49 90 8 30 88 9 30 89 10 31 94 Find the following: (a) The correlation coefficient: T = (b) The least squares line. NOTE: [for negitive B1, for example B, = -2.4 write in form Bo + (-2.4)= ] y = (c) Calculate the residual for the tenth student: Note: You can earn partial credit on this problem. Search ENG US acer A S P R EPREVIOUS Problem Problem US'i Next Problem (1 point) Given the following data set, let a: be the explanatory variable and y be the response variable. I 38521721 1136810399 (a) If a least equates line was tted to this data, what percentage of the variation in the y would b e explained by the regression line? (Enter your answer as a percent.) ANSWER: % ] ' ' ' \" - (b) Compute the correlation coefcient: 1' = ' i l \" Note: You can earn paiai credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email WeBWolK TA Previous Problem Problem List Next Problem (1 point) Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 68 286 2 67 281 3 77 289 4 88 273 5 108 286 6 75 286 73 287 8 67 269 Using games won as the explanatory variable , do the fo 3 (a) The correlation coefficient is r (b) The equation of the least squares line is y Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times You have 3 attempts remaining. Search ENG US A P R E(1 point) Consider the linear equation y = bo + biz. a. In the equation, bo is O A. the dependent variable B. the y-intercept O C. the independent variable D. the slope b. In the equation, b, is O A. the dependent variable B. the slope C. the independent variable D. the y-intercept c. Give the geometric interpretation of 60. It indicates O A. the y-value where the straight-line graph of the linear equation intersects the y-axis OB. the x-value where the straight-line graph of the linear equation intersects the x-axis O C. how much the z-value on the straight line changes when the y-value increases by unit O D. how much the y-value on the straight line changes when the x-value increases by unit d. Give the geometric interpretation of b1. It indicates O A. how much the y-value on the straight line changes when the -value increases by unit B. the y-value where the straight-line graph of the linear equation intersects the y-axis C. how much the -value on the straight line changes when the y-value increases by unit D. the x-value where the straight-line graph of the linear equation intersects the r-axis Note: You can earn partial credit on this problem. O Search ENG US 11/ ace S P R E