4.9k views
0 votes
When the correlation coefficient for a best fit line is r = 0.52, what does this imply regarding the data in the scatterplot?

A) There is a weak negative correlation
B) There is a strong positive correlation
C) There is a weak positive correlation
D) You cannot tell what type of correlation exists without plotting all coordinates.

1 Answer

4 votes

Final answer:

A correlation coefficient of r = 0.52 indicates a weak positive correlation, suggesting a positive but not strong linear association between the variables in the scatterplot.

Step-by-step explanation:

When the correlation coefficient for a best fit line is r = 0.52, this implies that there is a weak positive correlation between the variables in the scatterplot. This means that, as one variable increases, the other variable tends to also increase, but the relationship is not very strong. The correlation coefficient (r) ranges from -1 to +1, where a value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship at all. Since 0.52 is more than halfway between 0 and 1, it suggests a positive trend but not a particularly strong one. In practice, this means that while there is some linear association between the x and y variables, the predictive power of this relationship may be limited.

User TX T
by
7.4k points