Question

Find the line y=a+bxy=a+bx which best approximates the data points (−3,−5),(−2,−17),(−1,−26),(1,−51),(2,−65).

Answer 1

Answer:

y=-11.88x-39.93

Step-by-step explanation:

Plot the data

$\begin{array}{cc}x&y\\-3&-5\\-2&-17\\-1&-26\\1&-51\\2&-65\end{array}$

on the coordinate plane using graphing calculator. Then use linear approximation y=ax+b and determine that a=-11.88, b=-39.93.

The line that best fits these data is

$y=-11.88x-39.93.$