Find: a. R(36,000 mi.) b. MTTF c. Std. Dev.
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- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
- Can the average rate of change of a function be constant?Reliability testing of the new 2.0 liter Chevy automotive engine has resulted in a time to failure distribution which is lognormal with = 90,000 mi. and s = 0.60. Find: med %3D a. R(40,000 mi.) b. MTTF and Std. Dev. c. R(90,000|40,000) d. t .90A certain chemical pollutant in the Pasig River has been constant for several years with mean u = 34 ppm (parts per million). A group of industry representatives claim that their waste management programs have lowered this average significantly.
- A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 234 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 232,238, 238, 239, 236, 243, 243, 244, and 240. At a = 0.05, the manufacturer wants to test if the shelf life of the cake mix increased. What critical value must be used for this test?Suppose a logistic model has been fitted to a data set and the ROC curve has been plotted. If the point with sensitivity = a and specificity = B is on the curve, what are the smallest and largest values for the area under the curve?Suppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545
- Studies of a specific enzyme activity showed that the time the enzyme activity before complete inactivity is exponentially distributed with a mean of 12 hours. Determine the failure rateA regression of the LDL cholesterol level on the Body Mass Index (BMI) is shown below:LDL Cholesterol Level = 133.19 + 0.4151*BMI. Which of the following is FALSE? It is estimated that for every additional unit of BMI, the Level of LDL Cholesterol increases by about 0.4. It is estimated that for the person with zero BMI, the LDL Cholesterol Level is about 133. If one person has BMI of 20, then it is estimated that the LDL Cholesterol Level is about 141. If the LDL Cholesterol Level of one person is 145, then this equation indicates that this person’s BMI is about 30. One person’s LDL Cholesterol Level is 143 and BMI is 25. Its residual is about 5.A study used logistic regression to determine characteristics associated with Y = whether a cancer patient achieved remission (1 = yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are “labeled.” Table 1 shows the grouped data. Software reports Table 2 for a logistic regression model using LI to predict π = P(Y = 1). Using information from Table 2, conduct a Wald test for the LI effect and Interpret. Using information from Table 2, construct a Wald confidence interval for the odds ratio corresponding to a 1-unit increase in LI and interpret. Using information from Table 2, conduct a likelihood-ratio test for the LI effect and interpret. Using information from Table 2, construct the likelihood-ratio confidence interval for the odds ratio and interpret.