Question

jennifer has the scatterplot shown for her data set, where water is measured in ounces, and is trying to describe the line of best fit. which choice correctly describes the line of best fit? a as the temperature increases, her water intake decreases. b as the temperature increases, her water intake increases. c as the temperature decreases, her water intake increases. d there is no relationship between temperature and water intake

Explanation:

To determine the description of the line of best fit, we analyze the scatterplot and the trend of the line. The line of best fit has a positive slope (from the equation \( y = 0.045215x + 29.3699 \), the slope \( 0.045215 \) is positive). A positive slope indicates that as the independent variable (temperature, \( x \)) increases, the dependent variable (water intake, \( y \)) also increases.

• Option A is incorrect because a positive slope means water intake increases with temperature, not decreases.
• Option C is incorrect because a positive slope means when temperature decreases, water intake would decrease (not increase) if the relationship is linear with positive slope.
• Option D is incorrect because the scatterplot and the line of best fit show a linear relationship (positive correlation), so there is a relationship.

Answer:

B. As the temperature increases, her water intake increases.