Question

jonelle 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 relationship described by the line of best fit, we analyze the slope of the line. The equation of the line is \( y = 0.049215x + 29.3896 \), where the slope (\( 0.049215 \)) is positive. A positive slope indicates a direct relationship: 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 implies that if temperature decreases, water intake would decrease (not increase) since the relationship is direct.
• Option D is incorrect because the line of best fit and the positive slope show there is a relationship between temperature and water intake.

Answer:

B. As the temperature increases, her water intake increases