For items 1 - 5, use the data below that gives the humerus bone length (in cm) and height (in inches) for a sample of female skeletons. [The data was provided by Dr. Ayers-Darling, former professor at MVCC.] humerus (cm) height (in.) 32.6 66 28.0 60 29.9 62 30.5 63 31.2 64 29.9 62 29.1 61 29.5 62 29.8 62 28.5 61 Find the slope of the least-squares regression line that relates humerus length to female height. Express its value to three decimal places (to the nearest thousandth).__________________________ Find the y-intercept of the least-squares regression line that relates humerus length to female height. Express its value to three decimal places (to the nearest thousandth).___________________________ The least-squares regression line relating two variables x and y is given by . Find the predicted value of y if x is 2.___________
For items 1 - 5, use the data below that gives the humerus bone length (in cm) and height (in inches) for a sample of female skeletons. [The data was provided by Dr. Ayers-Darling, former professor at MVCC.]
| humerus (cm) | height (in.) |
| 32.6 | 66 |
| 28.0 | 60 |
| 29.9 | 62 |
| 30.5 | 63 |
| 31.2 | 64 |
| 29.9 | 62 |
| 29.1 | 61 |
| 29.5 | 62 |
| 29.8 | 62 |
| 28.5 | 61 |
Find the slope of the least-squares regression line that relates humerus length to female height. Express its value to three decimal places (to the nearest thousandth).__________________________
Find the y-intercept of the least-squares regression line that relates humerus length to female height. Express its value to three decimal places (to the nearest thousandth).___________________________
The least-squares regression line relating two variables x and y is given by . Find the predicted value of y if x is 2.___________
The least square regression line is given by,
ŷ = bx+a
Where
b= {n*∑xy-(∑x)*(∑y)}/{(n*∑x2 -(∑x)2}
And
a= (∑y-b*∑x)/n
Where b is slope.
Here x represents humerus (cm) and y represents height (in).
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