QUESTION IMAGE
Question
correlation coefficient for the data. round all values to the nearest hundredth.
the equation of the line of best fit of the data is y = 0.43x + 0.94
the correlation coefficient is r = 0.64
interpret the correlation coefficient.
strong negative correlation
weak negative correlation
weak positive correlation
strong positive correlation
Step1: Recall correlation - coefficient interpretation
The correlation coefficient $r$ ranges from - 1 to 1. If $r>0$, it's a positive correlation. If $r < 0$, it's a negative correlation.
Step2: Determine strength of correlation
Typically, $|r|\geq0.7$ is considered a strong correlation, and $|r|<0.7$ is a weak correlation. Here, $r = 0.64>0$, so it's a positive correlation. And since $|r|=0.64<0.7$, it's a weak positive correlation.
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weak positive correlation