Statistics and Regression Analysis

Answer Templates

Slope Interpretation Template

• "For every one-unit increase in [explanatory variable context], the predicted [response variable context] is predicted to change by [slope value] [units of response variable]."

Y-Intercept Interpretation Template

• "When [explanatory variable context] is 0 [units of explanatory variable], the predicted [response variable context] is [y-intercept value] [units of response variable]."

Residual Interpretation Template

• "The actual [response variable context] was [residual value] [units of response variable] [greater/less] than the value predicted by the LSRL for a [explanatory variable value] [units of explanatory variable]."

Standard Deviation of Residuals ($s$) Interpretation Template

• "When using the LSRL with [explanatory variable context] to predict [response variable context], we will typically be off by about s [units of response variable]."

Coefficient of Determination ($R^2$) Interpretation Template

• "[$R^2 \times 100$]% of the variability in [response variable context] is accounted for by the least-squares regression line using [explanatory variable context] as the predictor."