Question

question 20 of 27 interpret the slope of the least - squares regression line. the slope is 2.07. the predicted free skate score decreases by 2.07 points for each additional 1 point increase in the short program score. the slope is 0.736. the predicted free skate score increases by 0.736 points for each additional 1 point increase in the short program score. the slope is - 16.2. the predicted free skate score decreases by 16.2 points for each additional 1 point increase in the short program score. the slope is 10.2. the predicted free skate score increases by 10.2 points for each additional 1 point increase in the short program score. the slope is 2.07. the predicted free skate score increases by 2.07 points for each additional 1 point increase in the short program score.

Explanation:

In a least - squares regression line of the form $y = mx + b$, the slope $m$ represents the change in the predicted value of the response variable ($y$, free - skate score here) for a one - unit increase in the predictor variable ($x$, short - program score here). A positive slope means an increase in the response variable for an increase in the predictor variable, and a negative slope means a decrease.

Answer:

The slope is 2.07. The predicted free skate score increases by 2.07 points for each additional 1 point increase in the short program score.