Question

In bowling, it is often possible to score well in the first game and then bowl poorly in the second game, or vice versa. The following six pairs of numbers give the score of the first and second games bowled by the same person on six consecutive Tuesday evenings: Game 1: 170 190 200 183 187 188 Game 2: 197 178 150 176 205 153 (a) Draw a scatter diagram of the scores of the 1st game versus the scores of the 2nd game. (b) Draw a residue plot of the scores of the 1st game versus the scores of the 2nd game. (c) Find the estimated regression line. (d) Test the hypothesis, with α = 0.05, that the score of 1st game in bowling does not affect the score of 2nd game. (e) What conclusion you can draw?

Answer 1

Answer:

Given that;

(a) Draw a scatter diagram of the scores of the 1st game versus the scores of the 2nd game.

(b) Draw a residue plot of the scores of the 1st game versus the scores of the 2nd game.

we have taken game 1 as a response and get the graph of residual is

(c) Find the estimated regression line.

The regression line generated from the MINITAB is

The regression equation is
game1 = 237 - 0.285 game2

d) Test the hypothesis, with α = 0.05, that the score of 1st game in bowling does not affect the score of 2nd game

The testing of the predictor ha no effect the table is

Predictor Coef SE Coef T P
Constant 236.67 29.73 7.96 0.001
game2 -0.2852 0.1673 -1.70 0.164

here we get that the p-value of game2=0.164>0.05 so we can say that the game2 is not related to the game1

hence they are significantly not related.