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)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![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, [$]
a. Is there an association between the two variables? If yes, is it positive or negative?
Thre
b. Use technology to find the equation of the line of best fit, y = mx + b, and the coefficient of
determination and interpret the slope, the vertical intercept, and the coefficient of determination.
(Round the answers to 3 decimal places.)
i. m =
is the
ii, b =
MacBook P
Sooreh or tune URI
Product Price,[$]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbec6fba6-4edb-4044-b5ce-d54d1586b80f%2F0af0bf9a-5e36-4861-b732-0551e434c741%2F758ixn_processed.jpeg&w=3840&q=75)
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbec6fba6-4edb-4044-b5ce-d54d1586b80f%2F0af0bf9a-5e36-4861-b732-0551e434c741%2Fax31p6f_processed.jpeg&w=3840&q=75)
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