Question

A data set has a correlation coefficient of 0.013. Which statement about the data is true? a. The data has little or no linear correlation. b. The data has a strong positive linear correlation. c. The data has a weak negative linear correlation. d. The data has a strong negative linear correlation.​

Answer 1

Answer: Choice A

The data has little or no linear correlation

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Step-by-step explanation:

r = correlation coefficient

The r values are within the interval
`-1 \le r \le 1`

In other words, r is between -1 and 1 inclusive of both endpoints.

• r = -1 is the strongest negative correlation
• r = 1 is the strongest positive correlation
• r = 0 means there's no linear correlation at all. The data points are either randomly scattered about, or they perhaps fit on some kind of curve.

For the case r = 0.013, it's very close to r = 0. This suggests there is very weak positive correlation or practically no linear correlation at all.