Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 1.3, Problem 19E
a.
To determine
Make a
Check whether the relationship between x and y approximately linear or is it nonlinear.
b.
To determine
Compute the natural logarithm of each y value.
Make a scatterplot of ln y versus x.
Check whether the relationship between x and ln y approximately linear or is it nonlinear.
c.
To determine
Identify the work with x and y or x and ln y are easier.
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Students have asked these similar questions
A researcher investigating the factors related to a country's economic growth between 2005 and 2010
estimates the following model for a sample of countries (using cross sectional data):
GROWTH = a + b × GDPH2005 + cx INV + d x EDUC + ex RIGHTS + fx ELEC
where:
GROWTH is the country's economic growth (percent change of GDP per person at constant prices
between 2005 and 2010);
GDPH2005 is the log of the country's level of GDP per person in 2005 (US$ at 2005 prices);
INV is the country's share of gross investment in fixed capital (Gross Fixed Capital Formation) as a
percentage of GDP in 2005;
EDUC is an indicator of the level of education of the population (total enrolment in secondary schools as
a % of population aged 15 and over);
RIGHTS is an indicator of the strength of legal rights (0=weak to 12-strong);
ELEC is the percentage of population who have access to electricity;
The results of the estimation are:
Variables
GDPH2005
INV
EDUC
RIGHTS
ELEC
Constant
INV
RIGHTS
ELEC
EDUC…
. a. Make a scatter plot of the data in the table below.b. Does it appear that a linear model or a logarithmicmodel is the better fit for the data?
First, create a scatter plot for the data in the table. Then, use the shape of the scatter plot given to
determine if the data are best modeled by a linear function, an exponential function, a logarithmic function,
or a quadratic function.
OA
0+
quadratic function
0
linear function
Q
Q
O C.
exponential function
Q
X
y
0.05 4.1
0.4
logarithmic function
3
2
1
3.5 0.2
1
2
4 0.15
5 0.1
Q
Chapter 1 Solutions
Statistics for Engineers and Scientists
Ch. 1.1 - Each of the following processes involves sampling...Ch. 1.1 - If you wanted to estimate the mean height of all...Ch. 1.1 - True or false: a. A simple random sample is...Ch. 1.1 - A sample of 100 college students is selected from...Ch. 1.1 - A certain process for manufacturing integrated...Ch. 1.1 - Refer to Exercise 5. True or false: a. If the...Ch. 1.1 - To determine whether a sample should be treated as...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.1 - A medical researcher wants to determine whether...Ch. 1.2 - True or false: For any list of numbers, half of...
Ch. 1.2 - Is the sample mean always the most frequently...Ch. 1.2 - Is the sample mean always equal to one of the...Ch. 1.2 - Is the sample median always equal to one of the...Ch. 1.2 - Find a sample size for which the median will...Ch. 1.2 - For a list of positive numbers, is it possible for...Ch. 1.2 - Is it possible for the standard deviation of a...Ch. 1.2 - In a certain company, every worker received a...Ch. 1.2 - In another company, every worker received a 5%...Ch. 1.2 - A sample of 100 adult women was taken, and each...Ch. 1.2 - In a sample of 20 men, the mean height was 178 cm....Ch. 1.2 - Each of 16 students measured the circumference of...Ch. 1.2 - Refer to Exercise 12. a. If the measurements for...Ch. 1.2 - There are 10 employees in a particular division of...Ch. 1.2 - Quartiles divide a sample into four nearly equal...Ch. 1.2 - In each of the following data sets, tell whether...Ch. 1.3 - The weather in Los Angeles is dry most of the...Ch. 1.3 - Forty-five specimens of a certain type of powder...Ch. 1.3 - Refer to Table 1.2 (in Section 1.2). Construct a...Ch. 1.3 - Following are measurements of soil concentrations...Ch. 1.3 - A certain reaction was run several times using...Ch. 1.3 - Sketch a histogram for which a. The mean is...Ch. 1.3 - The figure below is a histogram showing the...Ch. 1.3 - The histogram below presents the compressive...Ch. 1.3 - Refer to Table 1.4 (in Section 1.3). a. Using the...Ch. 1.3 - Refer to Table 1.5 (in Section 1.3). a. Using the...Ch. 1.3 - The following table presents the number of...Ch. 1.3 - Which of the following statistics cannot be...Ch. 1.3 - A sample of 100 resistors has an average...Ch. 1.3 - Following are boxplots comparing the amount of...Ch. 1.3 - Following are summary statistics for two data...Ch. 1.3 - Match each histogram to the box plot that...Ch. 1.3 - Prob. 17ECh. 1.3 - Match each scatterplot to the statement that best...Ch. 1.3 - Prob. 19ECh. 1 - A vendor converts the weights on the packages she...Ch. 1 - Refer to Exercise 1. The vendor begins using...Ch. 1 - The specification for the pull strength of a wire...Ch. 1 - A coin is tossed twice and comes up heads both...Ch. 1 - The smallest number on a list is changed from 12.9...Ch. 1 - There are 15 numbers on a list, and the smallest...Ch. 1 - There are 15 numbers on a list, and the mean is...Ch. 1 - The article The Selection of Yeast Strains for the...Ch. 1 - Concerning the data represented in the following...Ch. 1 - True or false: In any boxplot, a. The length of...Ch. 1 - For each of the following histograms, determine...Ch. 1 - In the article Occurrence and Distribution of...Ch. 1 - The article Vehicle-Arrival Characteristics at...Ch. 1 - The cumulative frequency and the cumulative...Ch. 1 - The article Hydrogeochemical Characteristics of...Ch. 1 - Water scarcity has traditionally been a major...Ch. 1 - Prob. 18SECh. 1 - The article The Ball-on-Three-Ball Test for...
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