Question

Based on the data shown below, calculate the correlation coefficient and the equation of the least squares line. Round all numerical values to three decimal places as needed.

x y
1 5.56
2 10.32
3 13.98
4 14.04
5 16.1
6 17.76
7 23.22
8 25.58
9 26.84
10 26.7

a)What is the correlation coefficient?
0.980
b) What is the equation of the least squares line?

Answer 1

Explanation:

Data Table for Regression Resulting in

Equation: Y = 2.382 * X + 4.907, R^2 = 0.960, R = 0.980

The correlation coefficient is, R, 0.980

X Y Ycalc

1 5.56 7.289

2 10.32 9.671

3 13.98 12.053

4 14.04 14.435

5 16.1 16.817

6 17.76 19.199

7 23.22 21.581

8 25.58 23.963

9 26.84 26.345

10 26.7 28.727

Answer 2

a) The correlation coefficient is approximately 0.980.

b) The equation of the least squares line is y ≈ 6.800x - 17.100.