in order for a company\'s employees to work in a foreign office, they must take
ID: 3160202 • Letter: I
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
Determine the mean for the x-values and the mean for the y-values.
Given that the slope of the regression line is 6.9096, determine the equation of the regression line for the data.
Use a formula and not your calculator.
Round the y-intercept to the nearest hundredth.
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
x y 3 61 4 68 4 75 5 82 3 73 6 90 2 58 7 93 3 72 average 4.11 74.67 b= 74.67 - 4.11* 6.9096 b= 46.27 Y = 46.27 + 6.9096*X
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