how do you figure out this math question
Algebra

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A psychologist has collected data on the number of times x per year a college student goes out on a date and the number of hours y of homework that student does per week. She came up with the equation of the regression line
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This is what she does to come up withe the regression line:
She first calculates the following
The mean of the x values
The mean of the y values
The standard deviation of the x values (denoted s_{x})
The standard deviation of the y values (denoted s_{y})
The correlation between X and Y (denoted r)
The formula for the slope, m, of the bestfitting line is
where r is the correlation between X and Y, and s_{x} and s_{y} are the standard deviations of the xvalues and the yvalues, respectively. You simply divide s_{y}by s_{x} and multiply the result by r.
She then finds the y intercept using the formula below
are the means of the xvalues and the yvalues, respectively, and m is the slope.
So to calculate the yintercept, b, of the bestfitting line, you start by finding the slope, m, of the bestfitting line using the above steps. Then to find the yintercept, you multiply m by
For more information get a step by step guide for dummies
http://www.dummies.com/howto/content/howtocalculatearegressionline.html
Please let me know if you need any clarification. I'm always happy to answer your questions.
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