Chapter 1, Problem 10CR

To determine

To graph : The equation of line is to be determined.

Explanation of Solution

Given information : Table which shows the movie admissions each year

Year,   $x$	0	2	4	6	8	10
Admissions, $y$	1.24	1.26	1.39	1.47	1.49	1.57

Graph : For the above given data the equation of line of best fit is $y=0.035x+1.23$

The graph of the above equation as shown below:

  

Steps to find the equation of line and to draw the graph by using from the table:

Step 1: Enter the data from the given table into two lists.

Step 2: By using the linear regression feature in graphing calculator. The values in equation can be rounded off to obtain $y=0.035x+1.23$ where $a=0.03457$ and $b=1.2304$

Step 3: Enter the equation $y=0.035x+1.23$ in calculator and plot the graph by using values of the given data.

Interpretation :

For the above given data the equation of line of best fit is $y=x+1.41$