Consider the following data set that contains information about a sample of ten U.S. states in 2022 providing the gas price per gallon and price of a dozen eggs for each state. state gas price per gallon (dollars) price of a dozen eggs (dollars) 3.13 4.08 3.66 4.09 3.76 4.23 3.91 4.44 4.45 4.52 4.99 4.54 5.07 4.64 5.57 4.69 5.59 4.78 5.95 4.81 The scatter plot that summarizes the data with regard to the gas price per gallon as the input variable and the price of a dozen eggs as the output variable is provided below. 1 2 3 4 5 6 7 8 9 10

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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Consider the following data set that contains information about a sample of ten U.S. states in 2022
providing the gas price per gallon and price of a dozen eggs for each state.
state
price of a dozen eggs (dollars)
1
2
3
4
5
6
7
8
9
10
gas price per gallon
(dollars)
3.13
price of a dozen eggs, [dollars
3.66
3.76
3.91
4.45
4.99
5.07
5.57
5.59
5.95
The scatter plot that summarizes the data with regard to the gas price per gallon as the input variable and
the price of a dozen eggs as the output variable is provided below.
3
●●
4.08
4.09
4.23
4.44
4.52
4.54
4.64
4.69
4.78
4.81
6
4
gas price per gallon, [dollars]
a. Is there an association between the gas price per gallon and the price of a dozen eggs of a state? If yes,
is it positive or negative?
There appears to be a positive association ✓ between the two variables.
Transcribed Image Text:Consider the following data set that contains information about a sample of ten U.S. states in 2022 providing the gas price per gallon and price of a dozen eggs for each state. state price of a dozen eggs (dollars) 1 2 3 4 5 6 7 8 9 10 gas price per gallon (dollars) 3.13 price of a dozen eggs, [dollars 3.66 3.76 3.91 4.45 4.99 5.07 5.57 5.59 5.95 The scatter plot that summarizes the data with regard to the gas price per gallon as the input variable and the price of a dozen eggs as the output variable is provided below. 3 ●● 4.08 4.09 4.23 4.44 4.52 4.54 4.64 4.69 4.78 4.81 6 4 gas price per gallon, [dollars] a. Is there an association between the gas price per gallon and the price of a dozen eggs of a state? If yes, is it positive or negative? There appears to be a positive association ✓ between the two variables.
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.)
Select an answer is the
i. m =
Select an answer
ii. b =
Select an answer
iii.7²
Select an answer is the
hence there is a Select an answer linear relation.
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.) Select an answer is the i. m = Select an answer ii. b = Select an answer iii.7² Select an answer is the hence there is a Select an answer linear relation.
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Follow-up Questions
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Follow-up Question

 Use the line of best fit to:

i. estimate the price of a dozen eggs of a state in which the gas price per gallon is 4.3 dollars.

Answer:  dollars (Round the answer to the nearest unit.)

ii. estimate the gas price per gallon of state in which the price of a dozen eggs is 4.1 dollars.

Answer:  dollars (Round the answer to the nearest unit.)

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