22 Oct 2021
Problem 21c
Page 36
Section 1.2: Mathematical Models: A Catalog of Essential Functions
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.