Caroline adopted a puppy named Dodger from an animal shelter in Chicago. She recorded Dodger’s weight during the first two months. The data in the graph show Dodger’s weight y (in lb), x dates after adoption. a. Use the points (0, 11) and (40, 22) to write a linear for these data. b. Interpret the meaning of the slope in context. c. Interpret the meaning of the y -intercept in context. d. If this linear trend continues during Dodger’s growth period, how long will it take Dodger to reach 90 % of his expected full-grown weight of 70 lb? Round to the nearest day. e. Is the model from part (a) reasonable long term?
Caroline adopted a puppy named Dodger from an animal shelter in Chicago. She recorded Dodger’s weight during the first two months. The data in the graph show Dodger’s weight y (in lb), x dates after adoption. a. Use the points (0, 11) and (40, 22) to write a linear for these data. b. Interpret the meaning of the slope in context. c. Interpret the meaning of the y -intercept in context. d. If this linear trend continues during Dodger’s growth period, how long will it take Dodger to reach 90 % of his expected full-grown weight of 70 lb? Round to the nearest day. e. Is the model from part (a) reasonable long term?
Solution Summary: The author calculates a linear model for the data given in the graph, by using the points (0,11) and
Caroline adopted a puppy named Dodger from an animal shelter in Chicago. She recorded Dodger’s weight during the first two months. The data in the graph show Dodger’s weight
y
(in lb),
x
dates after adoption.
a. Use the points (0, 11) and (40, 22) to write a linear for these data.
b. Interpret the meaning of the slope in context.
c. Interpret the meaning of the
y
-intercept
in context.
d. If this linear trend continues during Dodger’s growth period, how long will it take Dodger to reach
90
%
of his expected full-grown weight of 70 lb? Round to the nearest day.
e. Is the model from part (a) reasonable long term?
Elementary Statistics: Picturing the World (7th Edition)
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