Question

An instructor measured quiz scores and the number of hours studying among a sample of 20 college students. If SX 42, 58x95, My , and Mx 5, then what is the regression equation for this sample? (Round your numerical values to three decimal places.) 9479 X X 0.442 X Refer to steps for computing the method of least squares (Section 16.5), Additional Materials eBook

Answer 1

Solution:

Given:

SS_xy = 42

SS_x = 95

M_y = 7

M_x = 5

We have regression equation in the form:

9 = bị X 3+b=

where

b1 SSry SS.

$b_{1} =\frac{42}{95}$

and

$b_{0} = M_{y}-b_{1} \times M_{x}$

$b_{0} = 7-0.442105 \times 5$

Thus regression equation is:

9 = bị X 3+b=

$\mathbf{{\color{DarkOrange} \hat{y} = 0.442 \times x + 4.789}}$