Question

Calories found in protein heavy foods (such as, meats, fish, nuts, etc.) correlate as following with other nutrition metrics. Discuss each correlation coefficient below; make sure to identify/explain the direction of each relationship and each relationship’s magnitude (use Cohen, 1992)

	Calories
Protein	r = .46
%Calories fat	r = .85
%Calories saturated fat	r = .89
Cholesterol	r = .18

Answer 1

The correlation coefficient measures the dependence and the argreement between two variables.

the value of correlation has two components: 1. Direction , i.e the sign and 2. Magnitude

The value of correlation coefficient lies between [-1,1].

i) The correlation coefficient between Protein and Calorie is 0.46, which is not very high nor very low, But this means they are weakly correlated with each other. That is there might not be strong linear dependency between them but there might some other form of functional dependency between them.And the positive value indicates that generally when one increades the other increases too.

ii) The correlation coefficient between % Fat and Calorie is 0.85 whihc is high and indicates that they are strong dependent, and the linear dependency is also strong. And the positive value indicates that generally when one increades the other increases too.

iii)  The correlation coefficient between %Satuarated Fat and Calorie is 0.89. Again as the vaue is positive and very high this means these two variables are in strong accordance/ agreement with each other with strong linear dependency and increase in value of one will cause other to increase .

iv) The correlation coefficient between Cholesterol and Calorie is 0.18, which is quite low and indicates that they is not very strong evidence of dependence between the two and any change in the value of one doesn't cause a change in the other. And the linear dependecy is not there.