What do the coefficients of a linear regression line tell you?

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What do the coefficients of a linear regression line tell you?

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Answer 1 · 2015-11-06T20:24:13

$ˆ y = b_{0} x + b_{1}$ $haty= b_0x+b_1$

Explanation:

A simple least square regression line with an independent and dependent variable will have just two coefficients ( $b_{0} and b_{1}$ $b_0 and b_1$ )

$b_{0}$ $b_0$ represents the slope of the regression line. For every 1 unit change in the independent variable (x), the dependent variable ( $ˆ y$ $haty$ ) will change by $b_{0}$ $b_0$ units.

$b_{1}$ $b_1$ represents the y-intercept and may or may not represent valid information. May times, the y-intercept ( when x = 0 ) is simply meaningless.

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What do the coefficients of a linear regression line tell you?

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