Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation $y = mx + b$ \begin{tabular}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline y & 105 & 120 & 137 & 168 & 179 & 200 \\ \hline \end{tabular}
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Step 1: We can use the following formulas to find the slope (m) and y-intercept (b) of the linear regression line: $$m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}$$ $$b = \frac{\sum y - m\sum x}{n}$$ where n is the number of data points. Show more…
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