Chapter 4, Problem 41SGR

To determine

To find graph shows a positive, negative or no correlation.

Answer to Problem 41SGR

Positive correlation.

Explanation of Solution

Given information: The data where x represents the average high temperature and y

represents the number of outside hours.

Let x be average high temperature.

Temperature(f) x	78	70	64	48	36
Number of outside hours y	94	75	60	34	20

Calculation:

Use a graphing calculator for above table,

Line of Best Fit

  $\begin{array}{l}y=0.561347x+27.427762.\\ \text{Intercept=}\mathrm{0.561347.}\\ \text{Slope}=\mathrm{27.427762.}\end{array}$

Graph of the equation is given below.

  

Where x -axis represent temperature and y -axis number of outside hours.

It is clear from the graph, the temperature increase as the number of outside hours increases. The line of best fit for this data has a positive slope so there is positive correlation.