t =

r

N – 2

1 – r2

(1 – r2

)

r2

(N – 2)

F = t2=

Where N = number of pairs of scores

ression lines when height scores (X)are plotted against

ght scores (Y)for ten adult males.

ression line of Y on X showing extent of error(difference

een actual weight score and predicted weight score).

Height (in.) X

140

145

150

155

160

165

170

175

180

185

190

195

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

X
Height (in.)
70
72
68
66
71
69
73
62
70
69

Y
Weight (pound)
175
160
148
150
178
164
176
143
168
167

Regresion line to
predict Y (Y on X)

Regresion line to
predict X (X on Y)

Height (in.) X

140

145

150

155

160

165

170

175

180

61

62

63

64

65

66

67

68

69

70

71

72

73

Regression line of X on Y showing extent of error

(difference between actual height score and predicted

height score).

Height (in.) X

140

145

150

155

160

165

170

175

180

61

62

63

64

65

66

67

68

69

70

71

72

73

Transform

In y = In (A) + BX

In y = In(A) + B in(X)

y = A + B (1/X)

1/y = A + BX

1/y = B + A (1/X)

y = AeBX

y = AXB

y = A + (B/X)

y = 1/(A + BX)

y = X/(A + BX)