Posted by **Lindsey** on Monday, February 18, 2013 at 5:04pm.

Suppose a data set has a linear regression line of y = 6 -0.8x. If the mean of the x's is 5, what is the mean of the y's?

2

5

10

6

None of the above

- Statistics -
**MathGuru**, Monday, February 18, 2013 at 8:38pm
The mean of the y's = 2

Use this equation:

predicted y = (rSy/Sx)X - (rSy/Sx)xbar + ybar

...where r = correlation, Sy = sd of y, Sx = sd of x, and X is the variable in 'a + bx' equation.

Note: xbar = mean of x; ybar = mean of y.

Substituting what is known:

predicted y = (-0.8)X - (-0.8)5 + ybar

predicted y = (-0.8)X - (-4) + ybar

predicted y = (-0.8)X + 4 + ybar

predicted y = (-0.8)X + 4 + 2

predicted y = (-0.8)X + 6

Therefore: ybar = 2

I hope this helps.

## Answer this Question

## Related Questions

- Statistics - I you are told that a data set has a mean of 25 and a variance of 0...
- MATH - A data set has the following points: (0, 2), (4, 1), (6, 0) The slope of ...
- Algebra 2 - A data set has the following point: (1,8)(2,7)(3,5) The slope of ...
- statistics - basically i'm at the begining of the text book doing summer work it...
- math - Data were recorded for the demand and revenue of a given product. Find ...
- Statistics - Is is possible for the regression equation to have none of the ...
- statistics - For a given set of data, it is known that x = 10 and y = 4. The ...
- Math - The stem-and-leaf plot shows the heights in centimeters of Teddy Bear ...
- statistics - Job Sat. INTR. EXTR. Benefits 5.2 5.5 6.8 1.4 5.1 5.5 5.5 5.4 5.8 5...
- Statistics - X Y 0 23 2 27 2.3 29 4.1 32 5 35 What is the correlation for this ...

More Related Questions