A paediatrician records the age x in yr and average height y in inches for girls between the ages of 2 and 10. a. Use the points (2, 35) and (6, 46) to write a linear model for these data. b. Interpret the meaning of the slope in context. c. Use the model to forecast the average height of 11-yr-old girls. d. If the height of a girl at age 11 is 90 % of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
A paediatrician records the age x in yr and average height y in inches for girls between the ages of 2 and 10. a. Use the points (2, 35) and (6, 46) to write a linear model for these data. b. Interpret the meaning of the slope in context. c. Use the model to forecast the average height of 11-yr-old girls. d. If the height of a girl at age 11 is 90 % of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
Solution Summary: The author explains how to calculate a linear model for the data given in graph by using the points (2,35) and
A paediatrician records the age
x
in yr
and average height
y
in inches
for girls between the ages of 2 and 10.
a. Use the points (2, 35) and (6, 46) to write a linear model for these data.
b. Interpret the meaning of the slope in context.
c. Use the model to forecast the average height of 11-yr-old girls.
d. If the height of a girl at age 11 is
90
%
of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
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