Question

Which is the BEST estimate of the correlation coefficient of a linear model between the number of items purchased and total amount of money spent at the grocery store? A). r = 0.1B). r = -0.5C). r = 0.3 D). r = 0.8

Answer 1

Answer:

D). r = 0.8

Explanation:

A correlation coefficient is a statistical measure that shows the strength of a relationship between two variables.

• When the correlation coefficient is -1.0, it means there is a perfect negative correlation (the linear model has a negative slope).

• When the correlation coefficient is 1.0, it means there is a perfect positive correlation. Here a ,positive increase in one variable, will ,result to an increase, in the other variable.

The scatter plot shows a positive correlation. This correlation is almost perfect.

Therefore, a reasonable estimate of the correlation coefficient will be 0.8.