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 Los Angeles 2.74 0.96 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.

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 Los Angeles 2.74 0.96 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.

Name: 22, 23 2,4 2,5 2.6 3.7 2,8 2,933,1 3,2 33 3,4 35 3.6 3,7 38 39Gas Pri
Uploaded: 2024-03-20T07:06:16.000Z
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Description: 22, 23 2,4 2,5 2.6 3.7 2,8 2,933,1 3,2 33 3,4 35 3.6 3,7 38 39Gas Price, [$]a. Is there an association between the two variables? If yes, is it positive or negative?There appears to be a positiveos association between the two variables.b. Use techno

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

22, 23 2,4 2,5 2.6 3.7 2,8 2,9
3
3,1 3,2 33 3,4 35 3.6 3,7 38 39
Gas Price, [$]
a. Is there an association between the two variables? If yes, is it positive or negative?
There appears to be a positive
os 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.)
i.. m =
$/$
o is the the rate of change of the price of a dozen eggs
ii. b =
$
O is the price of a dozen eggs when the price of gas is zero v
iii.r?
hence there is a strong
o linear 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)

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
1.8
1.7
16
1.5
14
1.3
1.2
1.H
2,2, 23 2.4 2,5 2,6 37 2,8 2,9
3,1 3,2 33 3,4 35 3.6 3,7 38 39
Gas Price, [$]
a. Is there an association between the two variables? 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 =
determination and interpret the slope, the vertical intercept, and the coefficient of determination. (Round
the answers to 3 decimal places.)
mx + b, and the coefficient of
i. m =
$/$
o is the the rate of change of the price of a dozen eggs
Product Price, [$]

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