Energy drinks come in different-sized packages: pouches,small bottles, large bottles, twin-packs, 6-packs, and soon. How is the price related to the amount of beverage?Data collected on a variety of packages revealed amean size of 140.17 ounces with a standard deviationof 78.23 ounces. The packages had an average price of $3.66 with a standard deviation of $1.50, and the correla-tion between size and price was r = 0.91. A scatterplot of these data suggested that the assumptions needed forregression were reasonable.a) Interpret the value of r in context.b) Compute the slope of the least-squares regression linefor predicting the price of an energy drink. Includethe proper units in your answer.c) Write the equation for the least-squares regressionline for these data.d) For this model the standard deviation of theresiduals was s = 0.26. Explain what that means incontext.
Energy drinks come in different-sized packages: pouches,small bottles, large bottles, twin-packs, 6-packs, and soon. How is the price related to the amount of beverage?Data collected on a variety of packages revealed amean size of 140.17 ounces with a standard deviationof 78.23 ounces. The packages had an average price of $3.66 with a standard deviation of $1.50, and the correla-tion between size and price was r = 0.91. A scatterplot of these data suggested that the assumptions needed forregression were reasonable.a) Interpret the value of r in context.b) Compute the slope of the least-squares regression linefor predicting the price of an energy drink. Includethe proper units in your answer.c) Write the equation for the least-squares regressionline for these data.d) For this model the standard deviation of theresiduals was s = 0.26. Explain what that means incontext.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Energy drinks come in different-sized packages: pouches,
small bottles, large bottles, twin-packs, 6-packs, and so
on. How is the price related to the amount of beverage?
Data collected on a variety of packages revealed a
mean size of 140.17 ounces with a standard deviation
of 78.23 ounces. The packages had an average price of
small bottles, large bottles, twin-packs, 6-packs, and so
on. How is the price related to the amount of beverage?
Data collected on a variety of packages revealed a
mean size of 140.17 ounces with a standard deviation
of 78.23 ounces. The packages had an average price of
$3.66 with a standard deviation of $1.50, and the correla-
tion between size and price was r = 0.91. Ascatterplot
tion between size and price was r = 0.91. A
of these data suggested that the assumptions needed for
regression were reasonable.
a) Interpret the value of r in context.
b) Compute the slope of the least-squares regression line
for predicting the price of an energy drink. Include
the proper units in your answer.
c) Write the equation for the least-squares regression
line for these data.
d) For this model the standard deviation of the
residuals was s = 0.26. Explain what that means in
context.
regression were reasonable.
a) Interpret the value of r in context.
b) Compute the slope of the least-squares regression line
for predicting the price of an energy drink. Include
the proper units in your answer.
c) Write the equation for the least-squares regression
line for these data.
d) For this model the standard deviation of the
residuals was s = 0.26. Explain what that means in
context.
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