LaTroy plotted a number of data points in the form of (x, y) on a Cartesian grid with his graphing calculator and then used the linear regression feature. His calculator returned a correlation coefficient (r) of 1, suggesting a perfect correlation between x and y. Which statement is true?
A) Because there is a perfect correlation between x and y, x must cause y.
B) Because there is a perfect correlation between x and y, y must cause x.
C) Even though there is a perfect correlation between x and y, x may not cause y.
D) Even though there is a perfect correlation between x and y, x must not cause y.

c)Even though there is a perfect correlation between x and y, x may not cause y.

Step-by-step explanation:

usatestprep

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

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