In order for a company\'s employees to work in a foreign office, they must take

Question

In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Round the regression line values to the nearest hundredth.

Number of years, x 3 4 4 5 3 6 2 7 3

Grades on test, y 61 68 75 82 73 90 58 93 72

the equation of the regression line for the data is y=6.9096x+46.24

1. State the meaning of the slope in this context. Do not say “change in y over change in x.” State what it means in relationship to the data in this problem.

Explanation / Answer

1.

The slope here is 6.9096.

Hence, we expect that for every 1 year increase in the number of years that employees have studied a particular language, his grade on the proficiency eam increases by 6.9096 on the average. [ANSWER]

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