Question

I need help at the bottom of the page - Thank you!

(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.

​(b) Given that x = 3.8333, ?? = 2.4014​, Sy = 1.8381, and r = −0.9545​, determine the​ least-squares regression line.

​(c) Graph the​ least-squares regression line on the scatter diagram drawn in part​ (a)

x   y
0   5.9
2   5.7
4   4.3
5   2.8
6   1.7
6   2

​(a) Choose the correct graph below. A. 0 6 0 6 x y A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (0,6), (2,5.8), (4,4.4), (5,2.8), (6,1.8), (6,2). All vertical coordinates are approximate. Your answer is correct. .

*There appears to be ▼ no, a linear positive, a nonlinear, a linear negative, a constant relationship.

Answer 1

The correlation coefficient between x and y is got as

- 0.9545

The Linear Regression Line is given by:

= 6.534 - 0.731 x

From the scatter diagram shows the points are close to the central line. Also, the central line is such that as x increases, y decreases.

So,

Conclusion is:

There appears to be a linear negative relationship.