1. Let's clarify the problem: You mentioned that when you input data, the equations and correlation coefficient you received were different from what you expected.
2. The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables.
3. The equation of the regression line is typically $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
4. To find $m$ and $b$, we use formulas involving sums of $x$, $y$, $xy$, and $x^2$ values from your data.
5. Differences in equations or $r$ values can arise from data entry errors, calculation mistakes, or using different methods (e.g., linear vs. nonlinear regression).
6. Double-check your data input for accuracy.
7. Ensure you use consistent formulas:
$$m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}$$
$$b = \frac{\sum y - m \sum x}{n}$$
$$r = \frac{n\sum xy - \sum x \sum y}{\sqrt{(n\sum x^2 - (\sum x)^2)(n\sum y^2 - (\sum y)^2)}}$$
8. If you provide your data, I can help compute the correct equation and correlation coefficient step-by-step.
Data Equations 9D0759
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