We want to find the line 𝑦=𝑚𝑥+𝑐y=mx+c that best fits these data points in the least squares sense, where 𝑚m is the slope and 𝑐c is the y-intercept.
Question
We want to find the line that best fits these data points in the least squares sense, where is the slope and is the y-intercept.
Solution
It seems like you've missed to provide the data points. However, I can guide you through the general steps to find the line of best fit using the least squares method.
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First, you need to calculate the mean (average) of your x-values and the mean of your y-values.
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Then, subtract the mean of x from each x value (call them "a"), and do the same for y (call them "b").
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Multiply each "a" value with its corresponding "b" value and sum them all up. This is the numerator of your slope (m).
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Square each "a" value and sum them all up. This is the denominator of your slope (m).
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Divide the numerator by the denominator to get the slope (m).
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To find the y-intercept (c), subtract m times the mean of x from the mean of y.
The resulting equation is the line of best fit for your data points.
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