For each menu item at a fast food restaurant, the fat content (in grams) and the number of calories were recorded. A scatterplot of these data is given: A plausible value for the correlation between fat content and number of calories is:
A)+0.2.
B)-0.9.
C)+0.9.
D)-1.0.

Question

For each menu item at a fast food restaurant, the fat content (in grams) and the number of calories were recorded. A scatterplot of these data is given:  A plausible value for the correlation between fat content and number of calories is:
A)+0.2. 
B)-0.9. 
C)+0.9. 
D)-1.0.

Quizplus · Accepted Answer

Based on the scatterplot, there appears to be a strong positive linear relationship between fat content and number of calories, with a tight cluster of points extending from the bottom left to the top right of the graph. Therefore, a plausible value for the correlation between these variables is +0.9, indicating a strong, positive relationship. Option A is unlikely as the points do not seem to deviate in a random fashion. Option B and D are unlikely as there is clearly a linear relationship between the variables, and correlation lies between -1 and +1.

For Each Menu Item at a Fast Food Restaurant, the Fat