Body weight can be predicted based on the amount of calories consumed by an individual due to the positive correlation between the two variables.When looking at the line of best fit for the linear regression, the data points are clustered close together.Predicted shyness based on the number of friendships a person has is also correlated, but the data points are more scattered around the line of best fit, showing a general negative correlation.Which has the higher predictive power and why?
A) calories consumed and body weight, because it is a positive correlation
B) calories consumed and body weight, because the variance is lower
C) shyness and number of friendships, because it is a negative correlation
D) shyness and number of friendships, because the variance is lower

Question

Quizplus · Accepted Answer

The higher predictive power is given to the correlation with lower variance. The scatter in the data points for shyness and number of friendships indicates that there are other factors that can influence a person's shyness, whereas the data points for calories consumed and body weight show a more consistent relationship with fewer external factors, making it a more reliable predictor. Thus, choice B is correct because the variance is lower in the relationship between calories consumed and body weight.

Body Weight Can Be Predicted Based on the Amount of Calories