the table shows the number of calories in four meals and the cost of each meal. cost of meal and number of…
the table shows the number of calories in four meals and the cost of each meal. cost of meal and number of calories\n|number of calories in the meal|cost of the meal|\n|----|----|\n|550|$12|\n|1,250|$11|\n|780|$13|\n|650|$10|\nwhich best describes the strength of the model?\n○ a weak positive correlation\n○ a strong positive correlation\n○ a weak negative correlation\n○ a strong negative correlation
Answer
Explanation:
Step1: Observe data trends
As the number of calories goes from 550 to 1250 to 780 to 650 (not in a clear - increasing or decreasing order), the cost goes from $12 to $11 to $13 to $10 (also not in a clear order).
Step2: Determine correlation type
There is no clear upward or downward trend between the number of calories and the cost of the meal. So, it is a weak correlation. Also, there is no consistent increase or decrease in one variable as the other increases, so it is not a positive or negative linear - like relationship. But looking at the general scatter of data, we can't say there is a strong relationship. Since there is no clear direction of change, we can't say it is positive or negative in a strong sense. However, if we consider the overall randomness, we can say it is a weak correlation. And since there is no clear negative trend (as calories increase, cost doesn't consistently decrease), we can rule out negative correlations. So, it is a weak positive correlation in the sense that there is a very slight tendency that as calories increase, cost might increase a bit, but very weakly.
Answer:
a weak positive correlation