Question

Students in a meat science class examined the relationship between the price of ground beef in 5 per pound) and fat content (in grams) for a random sample of meats gathered from a local grocery store. The data are plotted in the scatterplot below. Scatterplot of Price/lb vs Fat Grams 10 Fal Grams Which of the following is the best estimate of the correlation, based only on the scatterplot? Hint: No calculation is required. Use what you know about correlation. 0.06 -0.82 OOO

Answer 1

Let X and Y denote the following variables :

X: fat content (in grams)

Y: price of ground beef (in $ per pound) and

As no calculation is to be performed, we conclude based on the visualisation and knowledge of scatterplots.

The given scatterplot has a negative slope which indicates the correlation between X and Y will be negative. Also, the slope is rather steep hence the correlation is near - 1. The closest fraction to - 1 in the given options is - 0.82 (as - 0.3 is closer to 0, in which case the scatterplot would have clustered horizontally with a small negative slope, a little away from zero correlation)

Hence option B) - 0.82 is correct.