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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 = -0.4x + 4. the correlation coefficient is r = -0.91. 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 $r$ is close to -1, it's a strong negative correlation; if close to 0, weak correlation (either positive or negative); if close to 1, strong positive correlation.
Step2: Analyze given $r$ value
The given correlation coefficient $r=-0.91$. Since $|r| = 0.91$ is close to 1 and $r<0$, it indicates a strong negative correlation.
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strong negative correlation