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Body frame size is determined by a person\'s wrist circumference in relation to

ID: 3064842 • Letter: B

Question

Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below. 80 S +75 -70 65 535 6 65 7 75 8 85 9 Wrist Circumference (in) Excel Output: Regression Statistics Multiple R R Square 0.7991 0.6386 Adjusted R Square 0.6277 3.4837 Standard Error bservations 35 Coefficients Standard Error t-Stat P-value 4.7555 7.5562 1.08 E-8 Int 5.0469 0.6609 7.6363 8.64 E-9 wrist

Explanation / Answer

a)
y^ = 35.9335 + 5.0469 *wrist
b)
r = 0.7991
c)
R^2 = 0.6386
d)
when wrist = 6
y^= 35.9335 + 5.0469 *6
= 66.2149

e)
y^ = 35.9335 + 5.0469 *6.9
=70.75711
residual
= yi - y^
= 78.4 - 70.75711
= 7.64289

f)
35.9335 + 5.0469 *7.14
= 71.968366
g)
s_e = 3.4837

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