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

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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

Please let me know if you need any clarification. I'm always happy to answer your questions.
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