If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

# Calculating the equation of the least-squares line

You might need: Calculator

## Problem

A stonemason wants to look at the relationship between the density of stones she cuts and the depth to which her abrasive water jet cuts them. The data show a linear pattern with the summary statistics shown below:
meanstandard deviation
x, equals stone density left parenthesis, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction, right parenthesisx, with, \bar, on top, equals, 2, point, 5s, start subscript, x, end subscript, equals, 0, point, 3
y, equals cutting depth left parenthesis, start text, m, m, end text, right parenthesisy, with, \bar, on top, equals, 41, point, 7s, start subscript, y, end subscript, equals, 42
r, equals, minus, 0, point, 95
Find the equation of the least-squares regression line for predicting the cutting depth from the density of the stone.
Round your entries to the nearest hundredth.
y, with, hat, on top, equals
plus
x
Stuck?
Stuck?