Homework 5 Solution – STA 6126

  1. Partial Regression Plots:


Clear linear relation with positive slope. After adjusting for income and pct>65, there’s a positive association between nurses and population

No association. After adjusting for pop, income there’s no association between nurses and pct>65

After adjusting for pop and pct>65, there’s a small positive association between nurses and income

- - - P A R T I A L C O R R E L A T I O N C O E F F I C I E N T S - - -

Controlling for.. PCT65 PCI

NURSES POP

NURSES 1.0000 .9455

( 0) ( 63)

P= . P= .000

POP .9455 1.0000

( 63) ( 0)

P= .000 P= .

(Coefficient / (D.F.) / 2-tailed Significance)

" . " is printed if a coefficient cannot be computed

_

- - - P A R T I A L C O R R E L A T I O N C O E F F I C I E N T S - - -

Controlling for.. PCT65 POP

NURSES PCI

NURSES 1.0000 .2540

( 0) ( 63)

P= . P= .041

PCI .2540 1.0000

( 63) ( 0)

P= .041 P= .

(Coefficient / (D.F.) / 2-tailed Significance)

" . " is printed if a coefficient cannot be computed

_

- - - P A R T I A L C O R R E L A T I O N C O E F F I C I E N T S - - -

Controlling for.. POP PCI

NURSES PCT65

NURSES 1.0000 .1147

( 0) ( 63)

P= . P= .363

PCT65 .1147 1.0000

( 63) ( 0)

P= .363 P= .

(Coefficient / (D.F.) / 2-tailed Significance)

" . " is printed if a coefficient cannot be computed

0.917 (91.7%)

  1. Model when b2=b3=0: (Reduced Model)

Model with b2 and b3 not equal to 0 (Full Model):

and/or

Reject H0 at the a=0.05 significance level.