stats c3 LSRL

Explanatory Variable

The independent x-variable (quantitative)

Response Variable

The dependent y-variable

What point the LSRL always goes through

(X(mean), Y(mean))

Slope Interpretation

For each additional [x], we expect [y] will increase/decrease by about [m].

Y-Intercept Interpretation

When [x] equals 0, [y] is estimated to be about [b].

Correlation (r ) interpretation

There is approximately a strong/weak linear correlation between X and Y.

Correlation Squared (r²) Interpretation

About [%] of the variation in [y] is explained by [x].

Standard Dev. (S) Interpretation

On average when we predict [y] based on [x], our predictions are off by about [#].

Residual Interpretation

With [x], the actual value falls below/above the predicted value by [#].

The constant in the calculated data table is:

The y-intercept (a)

The variable apart from the constant in the data table is:

The slope (ex. Days)

The formula for LSRL:

ŷ=a+bx / ŷ=ax+b, depends on how you set up the lists in your calc.