Recall that has a normal distribution with expected value and variance so that Z 5 b 0

Recall that has a normal distribution with expected value and variance so that Z 5 bˆ

0 1 bˆ

1x 2 (b0 1 b1x)

s° 1 n

1 (x 2 x) 2 g(xi 2 x) 2 ¢

1/2 s2 • 1 n

1 (x 2 x) 2 g(xi 2 x) 2

¶

b0 1 b1x b

ˆ

0 1 b

ˆ

1x V(Yi 2 Y

ˆ

i)

V(Y

ˆ

i x )

V(Y

ˆ)

Yi 5 Y

ˆ

i 1 (Yi 2 Y

ˆ

i)

Yi 2 Y

ˆ Y i ˆ

i V(Yi 2 Y

ˆ

i)

gcj Yj Y

ˆ

i 5 bˆ

0 1 bˆ

1x Yi 2 Y i ˆ

i gn i51 e*i 5 0 gn i51 xi ei 5 0 gn i51 ei 5 0

(y 5 3 1 .5x)

gxi y g i xi

, gxi 2

, gyi

, gyi 2

HR 43.5 44.0 44.0 44.5 44.0 45.0 48.0 49.0 VO2 22.0 21.0 22.0 21.5 25.5 24.5 30.0 28.0 HR 49.5 51.0 54.5 57.5 57.7 61.0 63.0 72.0 VO2 32.0 29.0 38.5 30.5 57.0 40.0 58.0 72.0 Use a statistical software package to perform a simple linear regression analysis, paying particular attention to the presence of any unusual or influential observations.