Question

Given the following regression output, what is the expected value for the change in daily circulation (the dependent variable) if a newspaper had 35 winners and finalists between 2004 and 2014 and 14 winners and finalists between 1990 and 2003?

Model parameters (Change in Daily Circulation, 2004-2013):
Source Value Standard error t Pr > |t| Lower Upper
bound (95%) bound (95%)
Intercept -0.328 0.042 -7.890 <0.0001 -0.412 -0.244
Pulitzer Prize
Winners and
Finalists,
1990-2003 -0.015 0.008 -1.873 0.067 -0.030 0.001
Pulitzer Prize
Winners and
Finalists,
2004-2014 0.024 0.008 2.837 0.007 0.007 0.040
Pulitzer Prize
Winners and
Finalists,
1990-2014 0.000 0.000

Answer 1

0.512 ; - 0.538

Explanation:

Using the standard linear regression relation :

y = bx + c

b slope ; c = intercept ; y = dependent ; x = independent variable.

For finalist between 2004 - 2014 ;

y = 0.024x - 0.328

x = 35

y = 0.024(35) - 0.328

y = 0.512

For finalist between 1990 - 2014 ; with 14 winners ; change in daily circulation :

y = -0.015x - 0.328

x = 14.

y = -0.015(14) - 0.328

y = - 0.538