What is the significance of a correlation coefficient of −0.97

?

(1 point)
Responses

The points all lie very close to the line of fit, and the line is decreasing.

The points all lie very close to the line of fit, and the line is decreasing.

The points all lie very close to the line of fit, and the line is increasing.

The points all lie very close to the line of fit, and the line is increasing.

The points do not follow the line of fit and, the line is decreasing.

The points do not follow the line of fit and, the line is decreasing.

The points do not follow the line of fit, and the line is increasing.

1 answer

A correlation coefficient of \(-0.97\) indicates a very strong negative linear relationship between the two variables. This means that as one variable increases, the other variable tends to decrease, and the points will lie very close to a downward-sloping line of best fit.

So, the correct response is:

The points all lie very close to the line of fit, and the line is decreasing.