Question

1. the data in the table can be entered into a calculator to determine a linear equation of best fit where x represents the number of years with a company and y represents an employees salary in dollars.

what conclusion can be drawn from the correlation coefficient associated with this linear equation?
there is a weak positive correlation between the variables.
there is a strong negative correlation between the variables.
there is a strong positive correlation between the variables.
there is a weak negative correlation between the variables.

Explanation:

Step1: Observe the data trend

As the number of years with the company ($x$) increases, the salary ($y$) generally increases.

Step2: Recall correlation - coefficient concept

A positive - trending data indicates a positive correlation. Also, as the increase in salary with years is relatively consistent, it implies a strong relationship.

Answer:

There is a strong positive correlation between the variables.