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Suppose in the model yi = B0 + B1xi + ei, where i = 1; ; n, E(ei) = 0, var(ei) = sigma square, the measurements xi were in inches and we would like to write the model in centimeters, say, zi. If one inch is equal to c centimeters (c is known), we can write the above model as follows yi = B0*+B1*Zi+ei
a. Suppose B^0 and B^1(beta hut 0 and beta hut 1) are the least squares estimates of B0 and B1 of the first model. Find the estimates of B0* and B1* in terms of B^0 and B^1.
b. Show that the value of R2(R square,I do not know what is this) remains the same for both models.
c. Find the variance of B^1 *.
Increasing the confidence-interval level from .95 to .99
The manager is concerned that sales are slipping, after taking into account the average value of sales for four consecutive Saturdays being $4800.
What was the critical F value chosen?
We will select a random sample of 8 cigarettes and conduct a hypothesis test at the 10 % level of significance to determine whether the true mean nicotine content of all cigarettes differs from 8.4 mg.
The following table shows SAT scores (on the old SAT with only two sections) for a sample of students. Give the equation of the least squares regression equation.
Assuming that these results are sample data randomly selected from the population of all past and future Olympic games
This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
The personnel manager at a company wants to investigate job satisfaction among the female employees. One evening after a meeting, she talks to all 30 female employees who attended the meeting.
Construct a 95% confidence interval estimate for the population proportion of adults who report that e-mails are easy to misinterpret.
A college student is taking 5 courses in a semester. He is willing to assume that he will get an A with probability 0.10, a B with probability 0.80, and a C with probability 0.1 in each of the courses. He defines X1, X2, and X3 to be the number of..
Find the critical value for t and determine the null and alternate hypothesis.
Evaluate probability values using normal distribution and How many students earned more than $36,000? _______
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