LSRL Interpretations

Correlation (r)

there is a (very/moderately/strong/weak) correlation between (x) and (y)

Coefficient of Determination (r²)

about _r²% of the variation in the (response variable y) is explained by the (explanatory variable x)

Correlation (r)

there is a (very/moderately/strong/weak) correlation between (x) and (y)

Coefficient of Determination (r²)

about _r²% of the variation in the (response variable y) is explained by the (explanatory variable x)

Slope of LSRL (b)

for each additional (x), our model predicts the (y) will (increase/decrease) by (b)

Y intercept of LSRL (a)

When (x variable = zero) our model predicts (y) to be (a)

Standard Deviation of the Residuals (s)

The actual (y) is typically about (s) away from the number predicted by the LSRL

Residuals (y-y^)

The distance between the observed y value and the predicted y value. Underestimate/Overestimate. Residual < 0 = prediction was too HIGH

Residual > 0 = prediction was too LOW