4th Edition

ISBN: 9780073401331

Author: William Navidi Prof.

Publisher: McGraw-Hill Education

Concept explainers

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

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Textbook Question

Chapter 7.2, Problem 9E

Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. The article “Statistical Analysis of Vibration Modes of a Suspension Bridge Using Spatially Dense Wireless Sensor Network” (S. Pakzad and G. Fenves, Journal of Structural Engineering, 2009:863–872) describes an experiment in which accelerometers were placed on the Golden Gate Bridge for the purpose of estimating vibration modes. For 18 vertical modes, the system was underdamped (damping ratio < 1). Following are the damping ratios and frequencies for those modes.

Chapter 7.2, Problem 9E, Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. The

a. Construct a scatterplot of frequency (y) versus damping ratio (x). Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting frequency from damping ratio.
c. If two modes differ in damping ratio by 0.2, by how much would you predict their frequencies to differ?
d. Predict the frequency for modes with damping ratio 0.75.
e. Should the equation be used to predict the frequency for modes that are overdamped (damping ratio > 1)? Explain why or why not.
f. For what damping ratio would you predict a frequency of 2.0?

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Chapter 7.2, Problem 8E

Chapter 7.2, Problem 10E

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Chapter 7 Solutions

Statistics for Engineers and Scientists

Ch. 7.1 - Compute the correlation coefficient for the...Ch. 7.1 - For each of the following data sets, explain why...Ch. 7.1 - For each of the following scatterplots, state...Ch. 7.1 - True or false, and explain briefly: a. If the...Ch. 7.1 - In a study of ground motion caused by earthquakes,...Ch. 7.1 - A chemical engineer is studying the effect of...Ch. 7.1 - Another chemical engineer is studying the same...Ch. 7.1 - Tire pressure (in kPa) was measured for the right...Ch. 7.1 - Prob. 10E Ch. 7.1 - The article Drift in Posturography Systems...

Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - A scatterplot contains four points: (2, 2), (1,...Ch. 7.2 - Each month for several months, the average...Ch. 7.2 - In a study of the relationship between the Brinell...Ch. 7.2 - A least-squares line is fit to a set of points. If...Ch. 7.2 - Prob. 4E Ch. 7.2 - In Galtons height data (Figure 7.1, in Section...Ch. 7.2 - In a study relating the degree of warping, in mm....Ch. 7.2 - Moisture content in percent by volume (x) and...Ch. 7.2 - The following table presents shear strengths (in...Ch. 7.2 - Structural engineers use wireless sensor networks...Ch. 7.2 - The article Effect of Environmental Factors on...Ch. 7.2 - An agricultural scientist planted alfalfa on...Ch. 7.2 - Curing times in days (x) and compressive strengths...Ch. 7.2 - Prob. 13E Ch. 7.2 - An engineer wants to predict the value for y when...Ch. 7.2 - A simple random sample of 100 men aged 2534...Ch. 7.2 - Prob. 16E Ch. 7.3 - A chemical reaction is run 12 times, and the...Ch. 7.3 - Structural engineers use wireless sensor networks...Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - The coefficient of absorption (COA) for a clay...Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Three engineers are independently estimating the...Ch. 7.3 - In the skin permeability example (Example 7.17)...Ch. 7.3 - Prob. 12E Ch. 7.3 - In a study of copper bars, the relationship...Ch. 7.3 - Prob. 14E Ch. 7.3 - In the following MINITAB output, some of the...Ch. 7.3 - Prob. 16E Ch. 7.3 - In order to increase the production of gas wells,...Ch. 7.4 - The following output (from MINITAB) is for the...Ch. 7.4 - The processing of raw coal involves washing, in...Ch. 7.4 - To determine the effect of temperature on the...Ch. 7.4 - The depth of wetting of a soil is the depth to...Ch. 7.4 - Good forecasting and control of preconstruction...Ch. 7.4 - The article Drift in Posturography Systems...Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - A windmill is used to generate direct current....Ch. 7.4 - Two radon detectors were placed in different...Ch. 7.4 - Prob. 11E Ch. 7.4 - The article The Selection of Yeast Strains for the...Ch. 7.4 - Prob. 13E Ch. 7.4 - The article Characteristics and Trends of River...Ch. 7.4 - Prob. 15E Ch. 7.4 - The article Mechanistic-Empirical Design of...Ch. 7.4 - An engineer wants to determine the spring constant...Ch. 7 - The BeerLambert law relates the absorbance A of a...Ch. 7 - Prob. 2SE Ch. 7 - Prob. 3SE Ch. 7 - Refer to Exercise 3. a. Plot the residuals versus...Ch. 7 - Prob. 5SE Ch. 7 - The article Experimental Measurement of Radiative...Ch. 7 - Prob. 7SE Ch. 7 - Prob. 8SE Ch. 7 - Prob. 9SE Ch. 7 - Prob. 10SE Ch. 7 - The article Estimating Population Abundance in...Ch. 7 - A materials scientist is experimenting with a new...Ch. 7 - Monitoring the yield of a particular chemical...Ch. 7 - Prob. 14SE Ch. 7 - Refer to Exercise 14. Someone wants to compute a...Ch. 7 - Prob. 16SE Ch. 7 - Prob. 17SE Ch. 7 - Prob. 18SE Ch. 7 - Prob. 19SE Ch. 7 - Use Equation (7.34) (page 545) to show that 1=1.Ch. 7 - Use Equation (7.35) (page 545) to show that 0=0.Ch. 7 - Prob. 22SE Ch. 7 - Use Equation (7.35) (page 545) to derive the...

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