Data on tuition and mid-career salary are collected from a number of universitie

Question

Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collection is the linear regression model y =-0.97x + 160 where z annual tuition andy-average mid-career salary of graduates, both in thousands o 1 Which quantity is the independent variable? average mid-career salary of graduates annual tuition 2 According to this model, what is the average salary for a graduate of a college or university where the anmual tuition is $30,000 3 what is the slope of this regression model,

Explanation / Answer

1. Annual tuition

Independent Variable

It is a variable (often denoted by x ) whose variation does not depend on that of another.

2. given

x = Annual tuition = $30,000

y = - 0.97x + 160

y =  - 0.97(30,000)+ 160

= -28940 $

3. The slope of the regression model is : -0.97 , which is the coefficient of x.

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