Problem-
In a table it is shown the research result of dependence between calories and fat for some popular fast-food items:

Calories (x)    270    420    210    450    130    310    290    450    446    640    233       
Fat (y)             9       20      10      22      6        25      7       20     20      38      11     

a. Make a scatter plot. Do you expect a positive, negative, or zero correlation? Why?

b. Find the correlation coefficient and the equation of the line of best fit and write them down.

c. Give the value of the y intercept and interpret its meaning.

d. Using the regression equation, how many grams of fat would you predict for an item of 310 calories? Explain why this is different from the actual data point (310 calories, 25 grams).

e. What is the value of the residual for the data point (310, 25)?

f. What is the value of the coefficient of determination in this regression? What does it mean?

g. The decision point for n = 11 is 0.602. What if anything can you say about the correlation for all fast foods?

Additional information-

This problem related to Basic Statistics and it is about a study on the fat and calories in some popular fast-food items have been given here. The question here is to prepare scatter plot, regression and correlation coefficient.