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

b..........................................................

Answer 2

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

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 .