In the next class, you will need to be able to simplify equations by combining like terms. Simplifying EquationsIn multiple linear regression, we may encounter multiple π₯ variables within a model. For certain categorical predictors and interactions between explanatory variables, we can simplify equations by combining like terms.In math, the terms 8π₯, 2π₯, and β3π₯ are called like terms because they all contain the same variable.
Question 1
1) Can we combine like terms under addition? In other words, can we add 8π₯and 2π₯?
Question 2
2) Can we add3π₯1and 4π₯2? Explain.
Question 3
3) Simplify the equation: π¦=2 + 9π₯+ 4π₯. Write out each of the steps.
Question 4
4) Simplify the equation: π¦=1 +9π₯1+3π₯2+4π₯1+2π₯2. Write out each of the steps.
Question 5
5) Simplify the equation: π¦=3+7π₯1+13π₯2β5π₯1+2π₯2+14π₯3, where π₯1=1 and π₯2=0. Write out each of the steps.
Question 6
6) Simplify the equation: π¦=4+12π₯1β6π₯2+3π₯1+8π₯1βπ₯2+4π₯3+10π₯4, where π₯2=1. Write out each of the steps.
