Question

the equation of the line of best fit of the data is y = 0.42x + 1.44. the correlation coefficient is r = 0.61. interpret the correlation coefficient. strong negative correlation weak negative correlation weak positive correlation strong positive correlation

Explanation:

The correlation coefficient $r$ ranges from -1 to 1. A positive $r$ value indicates a positive correlation. When $0 < r< 0.3$, it's a weak positive correlation, when $0.3\leq r < 0.7$ it's a moderate positive correlation, and when $0.7\leq r < 1$ it's a strong positive correlation. Here $r = 0.61$, which is between $0.3$ and $0.7$, so it represents a moderate positive correlation. Among the given options, the closest is weak positive correlation as it is closer to the lower - end of the moderate range.

Answer:

C. weak positive correlation