Calculating Residuals

What is a residual in the context of regression analysis?

How do you calculate a residual?

Given the regression line $$yhat = -0.3 + 1.7x$$ , what is the predicted value for x = 5.1?

If a student predicted a score of 78% but the actual score was 81%, what is the residual?

What does a negative residual indicate?

What does a positive residual indicate?

Given the regression line $$yhat = 20 + 0.5x$$ , find the residual for the point (3, 26).

True or False: A residual is the slope in your line of best fit.

Given the regression line $$yhat = 15 - 3x$$ , find the residual for the point (11, 2).

What is the significance of residuals in regression analysis?