Question

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?

Answer 1

no

Step-by-step explanation:

• It is not reasonable to use the line of best fit to make predictions.

• The correlation coefficient for the data is close to zero.

• The correlation coefficient measures how well a line fits a set of data.

• The correlation coefficient suggests that the relationship between the two variables is weak.

Answer 2

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

Step-by-step 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.