Linear Regression Interpretation Sentences

LSRL structure

LSRL structure

y- context = intercept + slope (x- context)

Interpret y-intercept

The LSRL predicts the (y-context) to be # when (x-context) is zero.

Interpret the slope

The LSRL suggests an increase/decrease of # (y-intercept), on average, for each additional (x-context)

Interpreting the R²

#% of the variation in (y-context) can be explained by the linear model on (x- context)

what is the explanatory variable? ( x )

EW

what is the slope?

.00181

what is the response variable ( y )

Literacy Rate

what is the intercept?

58.624

what is the R² coefficient of determination?

55.7%

Write the LSRL

Zinc(ppm) = 16.3 + 19 Lead (ppm)