Question

Tessa counted her Halloween candy. She got a lot! She decided to eat exactly 2 pieces of candy every day. If she stuck to her plan and calculated the correlation coefficient between the number of candy she ate and days since Halloween, what would be the correlation coefficient?"

Then, the answer choices are:

A) 0.5
B) 1
C) 2
D) 0
E) -0.5

Now, you can choose the correct answer from the options provided.

Answer 1

The correlation coefficient between the number of candy pieces Tessa ate and the days since Halloween would be 1, indicating a perfect positive linear relationship.

Step-by-step explanation:

If Tessa counted her Halloween candy and decided to eat exactly 2 pieces of candy every day, and she measured the correlation between the number of candy pieces eaten and the days since Halloween, there would be a perfect linear relationship because the number of candies consumed would increase by a constant rate each day. This is a predictable and consistent increase, with the number of candies forming a straight line when plotted against the number of days. Therefore, the correlation coefficient here would be 1, indicating a perfect positive linear relationship, as every day exactly 2 more candies are eaten regardless of any other variables.