The figure shown to the right contains a scatter plot of 10 data points for trees, where the diameter of a tree at breast height (Dbh) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y is the height in feet. 40- y = 0.82x + 4.27 Dbh (in) (1) jy6jeH

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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The figure shown to the right contains a scatter plot of 10 data points for trees, where the diameter of a tree at breast height
(Dbh) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y
is the height in feet.
40-
y = 0.82x + 4.27
25
Dbh (in)
(A) Interpret the slope of the model.
A. The rate of change of height with respect to Dbh is 4.27 in/ft.
B. The rate of change of height with respect to Dbh is 4.27 ft/in.
C. The rate of change of height with respect to Dbh is 0.82 ft/in.
D. The rate of change of height with respect to Dbh is 0.82 in/ft.
Height (ft)
of
Transcribed Image Text:The figure shown to the right contains a scatter plot of 10 data points for trees, where the diameter of a tree at breast height (Dbh) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y is the height in feet. 40- y = 0.82x + 4.27 25 Dbh (in) (A) Interpret the slope of the model. A. The rate of change of height with respect to Dbh is 4.27 in/ft. B. The rate of change of height with respect to Dbh is 4.27 ft/in. C. The rate of change of height with respect to Dbh is 0.82 ft/in. D. The rate of change of height with respect to Dbh is 0.82 in/ft. Height (ft) of
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The figure shown to the right contains a scatter plot of 10 data points for trees, where the diameter of a tree at breast height
(Dbh) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y
is the height in feet.
40-
y = 0.82x + 4.27
0-
25
Dbh (in)
A) Interpret the slope of the model.
OA. The rate of change of height with respect to Dbh is 4.27 in/ft.
O B. The rate of change of height with respect to Dbh is 4.27 ft/in.
C. The rate of change of height with respect to Dbh is 0.82 ft/in.
D. The rate of change of height with respect to Dbh is 0.82 in/ft.
B) What is the effect of a 1-inch increase in Dbh?
A1 inch increase in Dbh produces a
foot increase in height.
Height (ft)
Transcribed Image Text:The figure shown to the right contains a scatter plot of 10 data points for trees, where the diameter of a tree at breast height (Dbh) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y is the height in feet. 40- y = 0.82x + 4.27 0- 25 Dbh (in) A) Interpret the slope of the model. OA. The rate of change of height with respect to Dbh is 4.27 in/ft. O B. The rate of change of height with respect to Dbh is 4.27 ft/in. C. The rate of change of height with respect to Dbh is 0.82 ft/in. D. The rate of change of height with respect to Dbh is 0.82 in/ft. B) What is the effect of a 1-inch increase in Dbh? A1 inch increase in Dbh produces a foot increase in height. Height (ft)
Solution
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