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21c
Problem

# Problem 21c

## Chapter 1: Functions and Models

Textbook ExpertVerified Tutor
22 Oct 2021

#### Given information

The table of the data is given by,

 Income Ulcer(per 100 population) $4,000 14.1$6,000 13.0 $8,000 13.4$12,000 12.5 $16,000 12.0$20,000 12.4 $30,000 10.5$45,000 9.4 \$60,000 8.2

#### Step-by-step explanation

Step 1.
Using the LinReg (ax+b) program on the T1 calculator, we have to find the linear regression.

The steps for finding the linear regression is as follows,

• Press STAT and then hit enter when Edit is highlighted.
• Enter the x-coordinate under the L_{1} column and y-coordinate under L_{2} column.
• Hit STAT, use the arrow key to scroll right to CALC, and then scroll down to LinReg (ax+b). Press Enter.
• Press Enter multiple times until the program runs. If X list does not show L_{1} and Y list does not show L_{2}, make to sure to fix those before running to program.
• The program will output values for a and b.
The program outputs the values of a=-9.978546 \times 10^{-5} \approx-0.0000099785 and b=13.95076408 \approx 13.95076.