Excel Linear Equation 4B452C

1. The problem is to understand why Excel provided the linear equation $y = -0.0024x + 26.688$. 2. Excel uses the method of least squares to find the best-fit line for a set of data points. The general form of a linear equation is: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. The slope $m = -0.0024$ means that for every increase of 1 unit in $x$, $y$ decreases by 0.0024 units. 4. The intercept $b = 26.688$ means that when $x = 0$, $y$ is approximately 26.688. 5. Excel calculates these values by minimizing the sum of the squared differences between the observed $y$ values and the values predicted by the line. 6. This equation represents the trend in your data, showing a slight negative correlation between $x$ and $y$. 7. Therefore, Excel gave you this equation because it best fits your data according to the least squares criterion.