College Degrees: A study was conducted by the research department of a technolog
ID: 3324739 • Letter: C
Question
College Degrees: A study was conducted by the research department of a technology company that considered the difference in salary between programmers that graduated with a college degree and programmers that did not graduate with a college degree. Here, we study the relationship between having a college degree and the according salary. The variable degree is coded 1 if the programmer does not have a college degree, and 0 if the programmer does have a college degree. The summary table below shows the results of a linear regression model for predicting the average salary of programmers, measured in thousands, based on whether or er has a college degree. (Intercept) Degree Estimate 82.75 -12.72 Std. Error 65 1.03 T value 189.60 8.65 0 0 a) Write the equation of the regression line. (1 point) b) Interpret the slope in this context. (1 point)Explanation / Answer
a)
The equation of regression line is
Salary = 82.75 - 12.72*Degree
b)
The slope is ; -12.72
It shows that is programmers does not a college degree, salary is decreased by $12.72 (in thousands).