# A set of data has a correlation coefficient r = 0.15. Is it reasonable to use the line of best fit to make predictions from the data?

QUESTION POSTED AT 01/06/2020 - 03:39 PM

QUESTION POSTED AT 01/06/2020 - 03:39 PM

Answer:

**It is not reasonable to use the line of best fit to make predictions from the data**.

Explanation:

A correlation coefficient of r = 0.15 means that the goodness of fit for the data from linear regression analysis is

r² = 0.15² = 0.0225.

When r²=1, it means that correlation between the dependent and independent variable is perfect, and the dependent variable can be predicted reliably.

When r²=0, it means that there is absolutely no correlation between the dependent and independent variable.

When r²>0.9, it means that reasonable correlation exists between the dependent and independent variable.

A value of r²=0.0225 is extremely low, therefore it is not reasonable to use the line of best fit to make predictions.

Explanation:

A correlation coefficient of r = 0.15 means that the goodness of fit for the data from linear regression analysis is

r² = 0.15² = 0.0225.

When r²=1, it means that correlation between the dependent and independent variable is perfect, and the dependent variable can be predicted reliably.

When r²=0, it means that there is absolutely no correlation between the dependent and independent variable.

When r²>0.9, it means that reasonable correlation exists between the dependent and independent variable.

A value of r²=0.0225 is extremely low, therefore it is not reasonable to use the line of best fit to make predictions.

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