Consider the following data set that contains information about the average price of a dozen eggs in ten randomly chosen cities: Price of a dozen eggs (S) 2.32 1.05 2.9 1.22 3.11 1.32 3.23 1.4 Tampa 3.46 1.47 Baltimore 3.53 1.52 Hartford 3.69 1.52 Sacramento 3.83 1.55 4.06 1.77 Dallas Orlando 4.07 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. i. m ii. b City San Francisco St. Louis iii.7-² New York City Seattle Product Price (8) +1.9| 1.8 1.7 1.6 6054 Gas price per gallon (5) 0.39 24 25 26 27 28 29 331 32 33 34 35 36 37 38 39 4 Gaz Price. [5] a. Is there an association between the two variables? If yes, is it positive or negative? There appears to be a positive 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.) S/S $ ● Answer: ● · association between the two variables. hence there is a strong c. Use the line of best fit to estimate the price of a dozen eggs when the price of gas is 4.15 dollars per gallon. linear relation. dollars. (Round the answer to 2 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Consider the following data set that contains information about the average price of a dozen eggs in ten
randomly chosen cities:
Price of a dozen eggs (S)
2.32
1.05
2.9
1.22
New York City
3.11
1.32
Seattle
3.23
1.4
Tampa
3.46
1.47
Baltimore
3.53
1.52
Hartford
3.69
1.52
Sacramento
3.83
1.55
4.06
1.77
Dallas
Orlando
4.07
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.
i. m =
City
San Francisco
St. Louis
ii. b
Product Price, (S)
=
1.6
1.4
Gas price per
gallon ($)
$/S
$
•
24 25 26 27 28 29 331 32 33 34 35 36 37 38 39 4
Gas Price, [S]
a. Is there an association between the two variables? If yes, is it positive or negative?
There appears to be a positive
•
Answer:
●
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.)
●
●
●
o association between the two variables.
iii.7.²
hence there is a strong
c. Use the line of best fit to estimate the price of a dozen eggs when the price of gas is 4.15 dollars per
gallon.
o linear relation.
dollars. (Round the answer to 2 decimal places)
Transcribed Image Text:Consider the following data set that contains information about the average price of a dozen eggs in ten randomly chosen cities: Price of a dozen eggs (S) 2.32 1.05 2.9 1.22 New York City 3.11 1.32 Seattle 3.23 1.4 Tampa 3.46 1.47 Baltimore 3.53 1.52 Hartford 3.69 1.52 Sacramento 3.83 1.55 4.06 1.77 Dallas Orlando 4.07 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. i. m = City San Francisco St. Louis ii. b Product Price, (S) = 1.6 1.4 Gas price per gallon ($) $/S $ • 24 25 26 27 28 29 331 32 33 34 35 36 37 38 39 4 Gas Price, [S] a. Is there an association between the two variables? If yes, is it positive or negative? There appears to be a positive • Answer: ● 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.) ● ● ● o association between the two variables. iii.7.² hence there is a strong c. Use the line of best fit to estimate the price of a dozen eggs when the price of gas is 4.15 dollars per gallon. o linear relation. dollars. (Round the answer to 2 decimal places)
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