Given are five observations for two variables, x and y. X ; 1 2 5 y; 5 10 14 (a) Develop a scatter diagram for these data. 18 7 y 18 T 18 T 15 15 15 12 12 - 12 9 9 9 6- 6 - 6 3 3 0 1 2 3 X 4 5 6 0 1 X 2 3 4 5 6 0 1 X 2 3 4 O 5 6 18 - 15 12 9+ 6- 3 -18 15 12 (b) What does the scatter diagram developed In part (a) indicate about the relationship between the two variables? 0 There appears to be a negative linear relationship between x and y. C) There appears to be no noticeable relationship between X and y. 0 There appears to be a positive linear relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. J' J' 18 . 15 6 o o 6 O O 3 . o - 3 I . . . . . .X . . . . . .x ' 1 2 3 4 5 6 1 2 3 4 5 6 O @O @O i O O O . . . . . .x 1 2 3 4 5 6 O (D 20:; Eur, F) (d) Develop the estimated regression equation by computing the values of bu and b1 using b1 - _ 2 2(x. x} J' and b0 - 17 - b1}. p- (e) Use the estimated regression equation tn predict the value of y when x - 2. E