Question

1) Can we predict the calories in a fast-food product if we know the amount of protein in that
product? Several fast-food products were examined and the number of calories and amount of
protein (in grams) were recorded. In the sample, the smallest and largest amounts of protein
were 4 grams and 22 grams, respectively. Analyzing the data resulted in the following
information:
Correlation of Protein and Calories = r = -0.87
The regression equation is Calories=302.5 -0.51 (Protein)
Interpret the correlation coefficient. There is a:
O strong negative linear relationship between protein amount and calories.
O weak negative linear relationship between protein amount and calories.
O strong positive linear relationship between protein amount and calories.
O weak positive linear relationship between protein amount and calories.

Answer 1

The correct option regarding the correlation coefficient is given as follows:

strong negative linear relationship between protein amount and calories.

What is a correlation coefficient?

• It is an index that measures correlation between two variables, assuming values between -1 and 1.

• If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

• If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:

strong negative linear relationship between protein amount and calories.

More can be learned about correlation coefficients at https://brainly.com/question/25815006

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