Simple Linear Regression A2405D
1. The problem is to understand and apply the simple linear regression formula.
2. The simple linear regression formula is given by:
$$y = mx + b$$
where $m$ is the slope of the line and $b$ is the y-intercept.
3. Important rules:
- The slope $m$ represents the change in $y$ for a one-unit change in $x$.
- The intercept $b$ is the value of $y$ when $x=0$.
4. To find $m$ and $b$, use the formulas:
$$m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}$$
$$b = \frac{\sum y - m \sum x}{n}$$
where $n$ is the number of data points.
5. After calculating $m$ and $b$, substitute them back into the formula $y = mx + b$ to get the regression line.
This formula helps predict $y$ values based on $x$ values using a straight line that best fits the data.