Question

the table shows the number of calories in four meals and the cost of each meal.
cost of meal and number of calories
which best describes the strength of the model?
a weak positive correlation
a strong positive correlation
a weak negative correlation
a strong negative correlation

Explanation:

To determine the correlation, we analyze the relationship between calories (x) and cost (y). Plotting the points (550,12), (1250,11), (780,13), (650,10), we see the trend: as calories increase/decrease, cost doesn't follow a strong linear pattern. The changes in cost relative to calories are inconsistent but slightly negative (e.g., 1250 calories has lower cost than 550, 650 has lower cost than 780, but 780 has higher cost than 550). The correlation is not strong (points are scattered) and negative (higher calories sometimes lower cost, lower calories sometimes higher cost, but overall a slight negative trend). Since the pattern isn't strong (points aren't close to a straight line), it's a weak negative correlation.

Answer:

a weak negative correlation