Question
A scatter plot in which all the points fall in a straight line with a slope greater than zero would be characteristic of two sets of variables which
A.
have a correlation coefficient of 0.5.
B.
are strong correlated.
close
C.
would show equal amounts of variability.
D.
none of the above
A.
have a correlation coefficient of 0.5.
B.
are strong correlated.
close
C.
would show equal amounts of variability.
D.
none of the above
Answers
GPT-4o mini
The correct answer is:
**B. are strongly correlated.**
When all points in a scatter plot fall in a straight line with a positive slope, it indicates a perfect positive linear relationship between the two variables. This means they are strongly correlated, with a correlation coefficient of 1. While option A mentions a correlation coefficient of 0.5, which indicates a moderate positive correlation, it does not match the scenario described in the question of points falling exactly in a straight line. Option C is not a valid description of correlation, and D is not correct because option B is indeed a suitable choice.
**B. are strongly correlated.**
When all points in a scatter plot fall in a straight line with a positive slope, it indicates a perfect positive linear relationship between the two variables. This means they are strongly correlated, with a correlation coefficient of 1. While option A mentions a correlation coefficient of 0.5, which indicates a moderate positive correlation, it does not match the scenario described in the question of points falling exactly in a straight line. Option C is not a valid description of correlation, and D is not correct because option B is indeed a suitable choice.