Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 7.4, Problem 13E
a.
To determine
Find the least-squares line for predicting bath temperature (y) from carbon content (x).
b.
To determine
Identify two outliers.
Compute the two least-squares lines that result from the deletion of each outlier individually and the least-squares line that results from the deletion of both outliers.
c.
To determine
Check whether the least-squares line computed in part (a) and (b) are similar.
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6B
A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013).
Table #1: Total Brain Volume (in mm3) of Normal Patients
1663407
1583940
1299470
1535137
1431890
1578698
1453510
1650348
1288971
1366346
1326402
1503005
1474790
1317156
1441045
1463498
1650207
1523045
1441636
1432033
1420416
1480171
1360810
1410213
1574808
1502702
1203344
1319737
1688990
1292641
1512571
1635918
Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients
1331777
1487886
1066075
1297327
1499983
1861991
1368378
1476891
1443775
1337827
1658258
1588132
1690182
1569413
1177002
1387893
1483763
1688950
1563593
1317885
1420249
1363859
1238979…
7B
A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013).
Table #1: Total Brain Volume (in mm3) of Normal Patients
1663407
1583940
1299470
1535137
1431890
1578698
1453510
1650348
1288971
1366346
1326402
1503005
1474790
1317156
1441045
1463498
1650207
1523045
1441636
1432033
1420416
1480171
1360810
1410213
1574808
1502702
1203344
1319737
1688990
1292641
1512571
1635918
Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients
1331777
1487886
1066075
1297327
1499983
1861991
1368378
1476891
1443775
1337827
1658258
1588132
1690182
1569413
1177002
1387893
1483763
1688950
1563593
1317885
1420249
1363859
1238979…
The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride
Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14)
discusses an investigation of leaching rates of lead in solutions of magnesium chloride. The
data in the following table (read from a graph) present the percentage of lead that has been
extracted at various times (in minutes).
Time (t)
4 8 16 30 60 120
Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4
a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit
this model, and compute the standard deviations of the coefficients.
b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the
time at which the reaction rate will be equal to 0.05.
c. The reaction rate at t = Oisequal to B1. Find a 95% confidence interval for the reaction
rate at t = 0.
d. Can you conclude that the reaction rate is decreasing with time? Explain.
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. 10ECh. 7.1 - The article Drift in Posturography Systems...
Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 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. 4ECh. 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. 13ECh. 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. 16ECh. 7.3 - A chemical reaction is run 12 times, and the...Ch. 7.3 - Structural engineers use wireless sensor networks...Ch. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - The coefficient of absorption (COA) for a clay...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Three engineers are independently estimating the...Ch. 7.3 - In the skin permeability example (Example 7.17)...Ch. 7.3 - Prob. 12ECh. 7.3 - In a study of copper bars, the relationship...Ch. 7.3 - Prob. 14ECh. 7.3 - In the following MINITAB output, some of the...Ch. 7.3 - Prob. 16ECh. 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. 7ECh. 7.4 - Prob. 8ECh. 7.4 - A windmill is used to generate direct current....Ch. 7.4 - Two radon detectors were placed in different...Ch. 7.4 - Prob. 11ECh. 7.4 - The article The Selection of Yeast Strains for the...Ch. 7.4 - Prob. 13ECh. 7.4 - The article Characteristics and Trends of River...Ch. 7.4 - Prob. 15ECh. 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. 2SECh. 7 - Prob. 3SECh. 7 - Refer to Exercise 3. a. Plot the residuals versus...Ch. 7 - Prob. 5SECh. 7 - The article Experimental Measurement of Radiative...Ch. 7 - Prob. 7SECh. 7 - Prob. 8SECh. 7 - Prob. 9SECh. 7 - Prob. 10SECh. 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. 14SECh. 7 - Refer to Exercise 14. Someone wants to compute a...Ch. 7 - Prob. 16SECh. 7 - Prob. 17SECh. 7 - Prob. 18SECh. 7 - Prob. 19SECh. 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. 22SECh. 7 - Use Equation (7.35) (page 545) to derive the...
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