Mackenzie investigated the relationship between the number of hours studying and the test score for some of the students in her class. She constructed the scatterplot below. A graph titled Hours Studying versus Test Score has Hours Studying on the x-axis, and test score on the y-axis. Points are at (1, 62), (2, 62), (2, 77), (3, 79), (4, 85), (5, 99). Which statement is correct based on the scatterplot? There is no relationship between hours studying and test score because the points do not form a straight line. There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying. There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase. There is a relationship between study hours and test score. As the hours of studying increase, the test scores
Answers
Given : Mackenzie investigated the relationship between the number of hours studying and the test score for some of the students in her class.
(1, 62), (2, 62), (2, 77), (3, 79), (4, 85), (5, 99).
To Find : Which statement is correct based on the scatterplot?
There is no relationship between hours studying and test score because the points do not form a straight line.
There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying.
There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase.
There is a relationship between study hours and test score. As the hours of studying increase, the test scores
Solution:
Hours Test Score
1 62
2 62
2 77
3 79
4 85
5 99
There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying.
y = f(x) can not have two values for a given value of x for to be a function
it does not pass vertical line test
the vertical line test is a way to determine if a given curve is a graph of a function or not.
A function can only have one output, y=f(x) , for each unique input, x.
as here x = 2 has two output 62 & 77
Hence it does not represent a function
Hence There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying.
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Answer:
The answer is B (There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying.)
Step-by-step explanation:
I took the Unit Test on Edge 2021 :) it's correct.