X; 1 2 3 4 5 y Y; 37 3 6 1014 (a) Develop a scatter diagram for these data. у 18 y 18 y 18 y 18 15 15 15 15 . 12 12 12 1

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X; 1 2 3 4 5 y Y; 37 3 6 1014 (a) Develop a scatter diagram for these data. у 18 y 18 y 18 y 18 15 15 15 15 . 12 12 12 12 . 9 9 9 9 9 6 6 6 6+ 3 3 3 3 . X 6 0 0 1 2 3 4 4 5 0 1 2 3 4 5 X 6 0 1 2. 3 4 5 X 6 0 1 2 3 4 5 X 6 0 (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. у у 18+ 18+ у 18+ у 18+ 15 15 15 15+ . LINK 12+ 12 12+ 12 9+ 9 9+ 9+ . 6 6- . 6+ 6+ 3 3 3 3+ 3+ х X X X X 1 2 2 3 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 5 6 0 00 (d) Develop the estimated regression equation by computing the values of bo and by using 61 = 2(x; - x)(y; - ) and be = y - by = (x; - )2 ỹ = (e) Use the estimated regression equation to predict the value of y when x = 2.