HW12.4-12.6 Score: 0f24 0.324 answered 0 Question 20 v For the data in the table, find the regression equation and then use it to answer the questions below. Here, :1: gives a student's annual family income {in $10003}, and y is the student's SAT score. Round the slope and y-intercept to two decimals, then do not round your answer. Income SAT ($1000's) Score 60 910 61 930 64 950 70 960 73 1030 79 1050 81 1060 84 1070 96 1090 97 1100 as What is the predicted score for a student whose annual family income is $55,000? b. Is your answer to part [a] an extrapolation? C' Yes: the value of it? is outside the range of data, so the prediction may not be meaningful '33:? No: the value of 3; is within the range of the data, so the prediction is meaningful Question 21 Examine the scatterplot for the data in the table below. T y 2 0 3 7 11 36 12 12 13 13 14 14 17 17 8 29 19 35 40+ 35+ 30 25- 20 15 10+ 5 10 15 20 -5+ There seems to be an outlier. Enter as a point: a. (x, y) =To determine if this is truly an outlier, we first need to find the standard error of the estimate, 59. Find the regression equation, round the slope and y-intercept to 2 decimals, and then use that equation to find the standard error. Round this answer to one decimal. b. Se = What y-value is the cutoff beyond which the point (11, 35) would be considered an outlier? c. The cutoff is y = d. Is the point (11, 36) an outlier? ""23- No '33:? Yes 0 Question 23 v Suppose that after collecting data, you find that there is a strong positive correlation between Luxury car purchases and champagne sales. In other words, as sales of Luxury cars increase, so do sales of champagne. Select the most appropriate statement. '33:.33' This correlation proves that increases in luxury car sales cause champagne sales to go up '53:} This correlation is probably because once a person buys a luxury car, they want a bottle of champagne to celebrate '3' This correlation is probably a coincidence '3' This correlation is probably due to a 'hidden' variable {Like the economy} that affects sales of both luxury cars and champagne