Question

A data set is given below.

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

​(b) Given that x over bar x = 3.5000 sx =2.58842. y =3.98333. sy=2.1085 and r = −0.9620​, determine the​ least-squares regression line.

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

x	00	11	33	55	66	66
y	5.95.9	6.66.6	5.05.0	2.62.6	1.71.7	2.12.1

A.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,1.8), (1,2.2), (3,2.6), (5,5), (6,6), (6,6.6). All vertical coordinates are approximate.

B.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,6), (1,6.6), (3,5), (5,2.6), (6,1.8), (6,2.2). All vertical coordinates are approximate.

C.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,1.2), (1,0.4), (3,2), (5,4.4), (6,5.4), (6,5). All vertical coordinates are approximate.

D.

0607xy

There appears to be ___________▼  relationship.

​(b) ^y =_________ + (_____)

​(Round to three decimal places as​ needed.)

​(c) Choose the correct graph below.

A.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,1.8), (1,2.2), (3,2.6), (5,5), (6,6), (6,6.6). A line rising from left to right passes through the points (0,1.8) and (6,6.6). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.

B.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,1.2), (1,0.4), (3,2), (5,4.4), (6,5.4), (6,5). A line, rising from left to right, passes through the points (1,0) and (6, 5.6). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.

C.

0607xy

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 7 in increments of 1. The following six points are plotted, listed from left to right: (0,6), (1,6.6), (3,5), (5,2.6), (6,1.8), (6,2.2). All vertical coordinates are approximate. A line falling from left to right passes through the points (1,6) and (6,2). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.

D.

0607xy

Answer 1