##### how do you figure out this math question

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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

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

This is what she does to come up withe the regression line:

She first calculates the following

1. The mean of the x values

2. The mean of the y values

3. The standard deviation of the x values (denoted sx)

4. The standard deviation of the y values (denoted sy)

5. The correlation between X and Y (denoted r)

She then finds the slope of the regression line:

The formula for the slope, m, of the best-fitting line is

where r is the correlation between X and Y, and sx and sy are the standard deviations of the x-values and the y-values, respectively. You simply divide syby sx and multiply the result by r.

She then finds the y intercept using the formula below

are the means of the x-values and the y-values, respectively, and m is the slope.

So to calculate the y-intercept, b, of the best-fitting line, you start by finding the slope, m, of the best-fitting line using the above steps. Then to find the y-intercept, you multiply m by

For more information get a step by step guide for dummies

http://www.dummies.com/how-to/content/how-to-calculate-a-regression-line.html

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 20th, 2015

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Oct 3rd, 2015
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Oct 3rd, 2015
Sep 22nd, 2017
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