c. Use the line of best fit to: i. estimate the price of a dozen eggs when the price of gas is 2.55 dollars per gallon. Answer: dollars. (Round the answer to 2 decimal places) ii. estimate the price of gas when the price of dozen eggs is 1.53 dollars. Answer: dollars per gallon. (Round the answer to 2 decimal places)

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Consider the following data set that contains information about the average price of a dozen eggs in
ten randomly chosen cities:
Gas price per
gallon ($)
City
Price of a dozen eggs ($)
Orlando
2.67
0.91
Chicago
2.74
0.96
Los Angeles
2.8
1.38
Minneapolis
2.87
1.4
Tucson
2.9
1.44
Portland
3.09
1.72
Kansas City
3.12
1.76
Pittsburgh
3.37
1.81
Philadelphia
3.4
1.88
Seattle
3.72
1.91
The scatter plot that summarizes the data with regard to price of gas as the input variable and price
of a dozen eggs as the output variable is provided below.
19
18
17
1.6
15
14
13
12
22.23 2,4 25 26 3 2,8 29
31 32 33 34 35 36 37 38 39
4
Gas Price, [$]
a. Is there an association between the two variables? If yes, is it positive or negative?
Thre
b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of
determination and interpret the slope, the vertical intercept, and the coefficient of determination.
(Round the answers to 3 decimal places.)
i. m =
is the
ii, b =
MacBook P
Sooreh or tune URI
Product Price,[$]
Transcribed Image Text:Consider the following data set that contains information about the average price of a dozen eggs in ten randomly chosen cities: Gas price per gallon ($) City Price of a dozen eggs ($) Orlando 2.67 0.91 Chicago 2.74 0.96 Los Angeles 2.8 1.38 Minneapolis 2.87 1.4 Tucson 2.9 1.44 Portland 3.09 1.72 Kansas City 3.12 1.76 Pittsburgh 3.37 1.81 Philadelphia 3.4 1.88 Seattle 3.72 1.91 The scatter plot that summarizes the data with regard to price of gas as the input variable and price of a dozen eggs as the output variable is provided below. 19 18 17 1.6 15 14 13 12 22.23 2,4 25 26 3 2,8 29 31 32 33 34 35 36 37 38 39 4 Gas Price, [$] a. Is there an association between the two variables? If yes, is it positive or negative? Thre b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of determination and interpret the slope, the vertical intercept, and the coefficient of determination. (Round the answers to 3 decimal places.) i. m = is the ii, b = MacBook P Sooreh or tune URI Product Price,[$]
b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of
determination and interpret the slope, the vertical intercept, and the coefficient of determination.
(Round the answers to 3 decimal places.)
i. m
s the
=
ii. 6 =
is the
%3D
iii.r?
hence there is
inear relation.
c. Use the line of best fit to:
i. estimate the price of a dozen eggs when the price of gas is 2.55 dollars per gallon.
Answer:
dollars. (Round the answer to 2 decimal places)
ii. estimate the price of gas when the price of dozen eggs is 1.53 dollars.
Answer:
dollars per gallon. (Round the answer to 2 decimal places)
Transcribed Image Text:b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of determination and interpret the slope, the vertical intercept, and the coefficient of determination. (Round the answers to 3 decimal places.) i. m s the = ii. 6 = is the %3D iii.r? hence there is inear relation. c. Use the line of best fit to: i. estimate the price of a dozen eggs when the price of gas is 2.55 dollars per gallon. Answer: dollars. (Round the answer to 2 decimal places) ii. estimate the price of gas when the price of dozen eggs is 1.53 dollars. Answer: dollars per gallon. (Round the answer to 2 decimal places)
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