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x ; 3 12 6 20 14 yi 55 40 55 10 15 (a) Develop a scatter diagram for these data. 70 - 70+ 60

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x ; 3 12 6 20 14 yi 55 40 55 10 15 (a) Develop a scatter diagram for these data. 70 - 70+ 60 - 70- 60 70- 50- 60 50 60 40- 50 40 50 30 - 40 30 40 0Z 30 20 30 10 - 20 10 20 10 5 10 15 X 10 20 25 5 10 15 X 20 25 5 10 15 20 25 5 10 15 X 20 25 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a positive linear relationship between x and y. There appears to be a negative linear relationship between x and y. There appears to be no noticeable relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. 70 60+ 70 70 50 60 60- 70 50 40 - 50- 60+ 40 30- 50 40 30 20- 40 30 20 10- 30 20 10 20 10 10 X 15 20 25 10 5 10 15 X 20 25 5 X 10 15 20 25 5 10 15 X 20 25 (d) Develop the estimated regression equation by computing the values of bo and bj using b 1 = - E ( x ; - x ) (y; - y) E (x; - x) 2 - and bo = y - b1x. y = (e) Use the estimated regression equation to predict the value of y when x = 10

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