Question

A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y = –0.33x + 4.27. Which residual plot is correct?

Answer 1

Answer: (5, 2.7) residual plot is correct .

Step-by-step explanation:

Given : model the data is y = –0.33x + 4.27.

To find :Which residual plot is correct  (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), (5, 2.7).

Solution : We have given that :

                          y = –0.33x + 4.27.

Substitute  x=1 , y =  –0.33(1) + 4.27 = 3.94 incorrect

Substitute  x=2 , y =  –0.33(2) + 4.27 = 3.61 incorrect

Substitute  x=3 , y =  –0.33(3) + 4.27 = 3.28  incorrect

Substitute  x=4 , y =  –0.33(4) + 4.27 = 2.95  incorrect

Substitute  x=5 , y =  –0.33(5) + 4.27 =  2.62 correct

Therefore , (5, 2.7) residual plot is correct .

Answer 2

B..........................................................