3) The following two sets of Excel output use are from the same data set as described above, but the first set of output is for the set of 35 CEO’s that earn the lowest total compensation and the second set of output is for a set of 40 CEO’s that earn the highest total compensation. a) What is heteroscedasticity? b) Why is heteroscedasticity a problem? c) Based on a comparison of the two sets of output, does it appear that there is heteroscedasticity in the data set? Explain.
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1The relationship between the independent variable (IV) and the dependent variable (DV) is likely to be mediated by a third variable (MV). With regard to the statement above, which of the following is most likely to be correct? A IV = Students’ performance (i.e., marks) in the formative assessment; DV = Students’ performance (i.e., marks) in the summative assessment, and MV = Students’ level of comfort with the venue of the assessments B IV = Students’ performance (i.e., marks) in the summative assessment; DV = Students’ performance (i.e., marks) in the formative assessment, and MV = Students’ level of preparation for the assessments. C IV = Students’ performance (i.e., marks) in the formative assessment; DV = Students’ performance (i.e., marks) in the summative assessment, and MV = Students’ level of preparation for the assessments D IV = Students’ performance (i.e., marks) in the summative assessment; DV = Students’ performance (i.e., marks) in the formative assessment,…The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 2 employees were assigned to assemble the subassemblies. They produced 11 during a one-hour period. Then 4 employees assembled them. They produced 18 during a one-hour period. The complete set of paired observations follows. Number ofAssemblers One-HourProduction (units) 2 11 4 18 1 5 5 23 3 18 The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. Click here for the Excel Data File Draw a scatter diagram. On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1). Repeat the process for the remainder of the sample (No of Assemblers2,…
- The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows. Number ofAssemblers One-HourProduction (units) 2 15 4 25 1 10 5 40 3 30 The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. Click here for the Excel Data File Draw a scatter diagram. On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1). Repeat the process for the remainder of the sample (No of…A researcher notes that there seems to be a difference in the prevalence of individuals who are medication adherent and have high levels of education along with a high health literacy and the prevalence of individuals who are not medication adherent and have low levels of education along with a low health literacy. Use the appropriate hypothesis to determine if education level and health literacy status are related (independent) at the 5%. Low Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 91 9 100 High Health Literacy 9 291 300 Total 100 300 400 High Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 96 4 100 High Health Literacy 4 296 300 Total 100 300 400(The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 What is the dependent variable?
- In order to determine the effects of a new pill that is supposed to reduce hair loss, a researcher conducts the following experiment: 500 volunteer subjects (300 men and 200 women) all of which suffer some degree of hair loss are selected to participate in the study. The researcher gives to the women the real pill and the men a sugar pill, but only the researcher knows this.The results of the experiment are likely to be invalid mostly because the gender of the patient could be a confounding variable in this experiment. the subjects were volunteers. the subjects did not know if they were getting the real treatment. the treatment group and control group were not the same size. None of the above1. A textile company is interested in knowing if there is a difference in the breaking strength offour different kinds of thread. A test was conducted where five measurements (in ounces) weretaken for each kind of thread. Dummy variables were created named threada, threadb, andthreadc, which indicated if a strength reading was obtained on thread a, b, or c, respectively. Aregression analysis was performed with breaking strength as the dependent variable and threada,threadb, and threadc as independent variables, the results are attached at the end of the sheet. a) Write the linear model for the regression analysis, give the F statistic and P valuefor the test of equality of breaking strength means for the four threads, and state your conclusionfor the test using alpha = .05. b) Use the printout from the regression analysis to give estimates of the mean breakingstrength for each of the four thread groups. c) On the regression analysis printout on the row with information about threadb…Suppose that in a research it was discovered that those who majored in math, engineering, or computer science scored higher on tests measuring "problem-solving" ability at the end of 4 years of college than did those students who did not major in these fields. What is the dependent variable in this study? Is the dependent variable clearly defined?
- A researcher who was interested in the pattern of voting of rural and urban voters in the 2000 elections took a sample of 600 voters and made the following findings: Of those who voted NDC, 120 were rural and 80 urban. Of those who voted NPP 100 were rural and 120 urban. Of the CPP voters 60 were rural and 20 urban. For the PNC, 70 voters were rural and 30 urban.Indicate which variable is dependent (Y) and which is independent (X) with reasons.Construct a crosstab and a percentage table showing the relationship between the independent and dependent variables.Write an analysis of the data captured in (a) above2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…Suppose the manager of HRD would like to examine the relationship between increment in the salary (Y ) BDT and years of experience(X1)among the employees with different job categories (X2) such as clerical, custodial, and The data on 56 employees on these variables were obtained. Two dummy variables were created for the categorical independent variable X2 as D1=1 if he/she is doing custodial job and 0 for otherwise and D2=1 if s/he is doing managerial job and 0 for otherwise.. The least squares estimate are given below: Y = 120 + 10.3X1 + 20.8D1 + 32.4D2 with SE(βˆ1) = 0.876; SE(βˆ2) = 3.26 SE(βˆ2) = 3.87 and SST=12036, SSE=3050 (a) Interpret the estimate of the each of the coefficient corresponding to X1, D1 and D2. What is the difference in the estimated average increment for two employees both doing managerial job whose experience differ by 5 years? (b) What is the difference in the estimated average increment for two employees both doing managerial job whose…