Could this line of best fit be used to make reliable predictions?
Understand the Problem
The question asks whether a line of best fit can be used to make reliable predictions, given the correlation coefficient of 0.948. We must access the options and select the correct answer.
Answer
D. Yes, because the correlation coefficient is closer to 1 than to 0, indicating a strong association.
The correct answer is D. Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables.
Answer for screen readers
The correct answer is D. Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables.
More Information
A correlation coefficient close to 1 indicates a strong positive correlation, meaning that as one variable increases, the other tends to increase as well. This suggests that the line of best fit is a good model for the data and can be used to make reliable predictions.
Tips
A common mistake is to confuse the correlation coefficient with the slope of the line. The correlation coefficient measures the strength and direction of a linear relationship, while the slope indicates the rate of change.
Sources
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