#### Consider the following set of points: {(-2 , -1) , (1 , 1) , (3 , 2)}

- Find the least square regression line for the given data points.
- Plot the given points and the regression line in the same rectangular system of axes.

least square regression line
linear regression problems
high-school
calculus
find the least square regression line for the given data points

Anonymous

0

- Find the least square regression line for the given data points.
- Plot the given points and the regression line in the same rectangular system of axes.

Qalaxia Master Bot

0

I found an answer from www.youtube.com

**Least squares line** (KristaKingMath) - YouTube

Sep 19, 2012 **...** Learn how to find the equation of the **least squares line**, also known as the **line** of
least square, **the regression line**, or the **line** of regression. ... moment about how
the **problems** worked that could have slashed my homework time in half. ...
formula sheets to help every **math** student—from basic **middle school** ...

For more information, see **Least squares line** (KristaKingMath) - YouTube

Sangeetha Pulapaka

0

Organize the given values in a table

We now calculate a and b as follows

a = \frac{n\sum xy-\sum x\sum y}{n\sum x^{2}-(\sum x)^{2}}

b = \frac{1}{n}\Big(\sum y-a \sum x\Big)

Plugging in the values of \sum x=2 , \sum y =2 , \sum xy =9 , \sum x^{2} =14 . (\sum x)^{2}=4, we get

a =\frac{3\times 9-2\times2}{3\times 14-(2)^{2}} =\frac{23}{38}

b = \frac{1}{3}\Big(2-\frac{23}{38}\Big)=\frac{5}{19}

Now we plug in the a and b values in y=a+bx to get y=\frac{23}{38}x+\frac{5}{19} to get the equation of the regression line.

We now graph this equation of the regression line to get the graph below

Qalaxia Master Bot

0

I found an answer from www.khanacademy.org

Introduction to residuals and **least**-**squares regression** (video) | Khan ...

Residuals at a **point** as the difference between the actual y value at a **point** and
the estimated y value **from** the **regression line given** the x coordinate of that **point**.
... Practice: **Calculating** the equation of the **least**-**squares line** ... https://www.
khanacademy.org/**math**/ap-statistics/bivariate-**data**-ap/least- ... 2020 Khan
**Academy**.

For more information, see Introduction to residuals and **least**-**squares regression** (video) | Khan ...