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Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 55.
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- Zipfs Law The following table shows U.S cities by rank in terms of population and population in thousands. City Rank r Population N New York 1 8491 Chicago 3 2722 Philadelphia 5 1560 Dallas 9 1280 Austin 11 913 San Francisco 13 852 Columbus 15 836 A rule known as Zipfs law tells us that it is reasonable to approximate these data with a power function. a Use power regression to express the population as a function of the rank. b Plot the data along with the power function from part a. c Phoenix is the sixth largest city in the United States. Use your answer from part a to estimate population of Phoenix. Round your answer in thousands to the nearest whole number. Note: The actual population is 1537 thousand.An article in Quality Engineering presents viscosity data from a batch chemical process. A sample of these data is in the table. Reading left to right and up to down, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot. Consider that the first 40 observations (the first 4 columns) were generated from a specific process, whereas the last 40 observations were generated from a different process. Does the plot indicate that the two processes generate similar results? Calculate the sample mean and sample variance of the first 40 and the second 40 observations.ecreasing the alpha level from α = .05 to α = .01 ____. a. increases the probability that the sample will fall into the critical region b. increases the size of the critical region c. increases the probability of a Type I error d. decreases the probability of a Type I error
- heat boundry value PDEInterpreting Power For the sample data in Example 1 “Adult Sleep” from this section, Minitab and StatCrunch show that the hypothesis test has power of 0.4943 of supporting the claim that μ < 7 hours of sleep when the actual population mean is 6.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value. (For the t test in this section, a “noncentrality parameter” makes calculations of power much more complicated than the process described in Section 8-1, so software is recommended for power calculations.)Differential Eauation
- (1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test. Include the following: IV: DV: Null Hypothesis: Alternative Hypothesis:Subject :Differential GeometryDecreasing the alpha level (for example from = .05 to = .01) ____. a Decreases the probability of a Type I error b Decreases the size of the critical region c Decreases the probability that the sample will fall into the critical region d All of the other options are results of decreasing alpha.
- In single-sample, upper-tail test hypothesis test, if the researcher changes the alpha level from .05 to .10 then which statement is most true? a) a. the consequences of committing an alpha error are likely severe, all else held constant in the experiment b) b. the RR will comprise a larger area under the curve as a result, all else held constant c) c. the RR will comprise a smaller area under the curve as a result, all else held constant d) d. this image would accurately depict this changeHow logistic regression maps all outcome to either 0 or 1? The equation for log-likelihood function (LLF) is : LLF = Σi( yi log( p( xi)) + (1 − yi) log(1 − p(xi))). How logistic regression uses this in maximum likelihood estimation?Also find : Test Statistics, z Find the P value at alpha =0.05