Simple Regression

Simple Linear Regression

            Welcome May 2, 2011. It’s Monday.

            Today, I am taking notes from our reporter. Last week, my classmates requested me to compute the data manually. OK, you are my boss as said by PNOY. Their request was granted.

            I am hesitant to do this because the approach I am going to do this in a traditional way. But I have my computer to show it’s correct. We enjoyed the moment for everybody was busy solving on their sits and to the board. This is what we call “hands on process”. We just follow the formula given. We completed first each column only to those are needed in the formula.

            At about 9:30 in the morning, my report was finished. Then after that, we enjoyed sharing our experience and eat together our snacks, which I prepared. Most of them said, “thank you” because according to them, they clearly understand my topic.

            Before I end my reaction for today, please allow me to write the formula below. For the least squares Linear Regression Equation.

y= a + bx

Where:

            b=        Ʃ (x –   x) (y – y)

                         Ʃ ( x – x)²                  

           

            a= y – b  x

The standard Error of Estimate

S_e =     Ʃ (y – y )²

                 N - 2

            Or

S_e=       ƩY₁² – a Y_{1 –} b (Y_{1 –}Y₁)

                        N - 2