MAC 2. In a study to determine a person's yearly income 10 years after high school, it was found that the two biggest
predictors are number of math courses taken and number of hours worked per week during a person's senior
year of high school. The multiple regression equation generated from a sample of 20 individuals is
Y=6000 + 4540 Xr+ 1290 X2
Let Xi represent the number of mathematics courses taken and X2 represent hours worked. The correlation
between income and mathematics courses is 0.63. The correlation between income and hours worked is 0.84,
and the corelation between mathematics courses and hours worked is 0.31.2
a. What is the dependent variable?
b. What are the independent variables?
c. Explain what 4540 and 1290 in the above equation tell us.
d. What is the predicted income if a person took 8 math classes and worked 20 hours per week during her
or his senior year in high school?
e. Compute R and R2 and interpret them.
3. Define the term probability and explain briefly what do you understand by the term nohahility distribution?​