Question

use technology to find an equation of the line of best fit for the data. round the slope and the y - intercept to the nearest hundredth.

x: 30, 28, 33, 15, 21, 20

y: 79, 76, 87, 25, 42, 65

y = □

Explanation:

Step1: Input data into technology

Input the \(x\) - values (\(30,28,33,15,21,20\)) and \(y\) - values (\(79,76,87,25,42,65\)) into a graphing calculator or statistical software.

Step2: Calculate the regression equation

Use the linear regression function. For a linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y\) - intercept). After running the linear regression:
The slope \(m\approx2.65\) and the \(y\) - intercept \(b\approx - 13.38\)

Answer:

\(y = 2.65x-13.38\)