Question

Data collected on the discharge of the Colorado River and speed are given in the table:

Discharge (ft3) Speed
1.3 2.3
2.2 0.99
5.8 3.5
11 5
12 16
14 22
16 27
21 14
49 33

Find r2, and interpret the results. (4 points)

Group of answer choices

0.67; The least-squares regression line, given by ŷ = 3.95 + 0.82x, is a good fit for the data.

0.82; The least-squares regression line, given by ŷ = 3.95 + 0.82x, is not a good fit to the data.

0.82; The least-squares regression line, given by ŷ = 0.82 + 3.95x, is a good fit for the data.

0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.

Answer 1

D. 0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.

Explanation:

Answer 2

0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.

Explanation:

Plot the data in a spreadsheet and insert a trendline. The line of best fit is y = 0.67x + 3.95. The r² value is 0.67.