Chapter 13.5, Problem 3ES

To determine

(a)

To draw:

draw a scatter diagram for the data.

To determine

(b)

To find:

$n,{\displaystyle \sum x},{\displaystyle \sum y},{\displaystyle \sum x^2},{\left({\displaystyle \sum x}\right)}^2,and{\displaystyle \sum xy}$.

To determine

(c)

To find:

a, the slope of the least-square line, and b, the y -intercept of the least-squares line.

To determine

(d)

To draw:

The least-square line on the scatter diagram from part a.

To determine

(e)

is the point $\left(\overline{x},\overline{y}\right)$ on the least squares line?

To determine

(f)

To predict:

use the equation of the least-squares line to predict the value of y when $x=3.4$.

To determine

(g)

To find:

to the nearest hundredth, the linear correlation coefficient.