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Consider the single Linear Regression Model:
Y = βX + U
without an intercept (β is a scalar constant; X is a scalar random variable). Imagine that you have taken a random sample from this population. If you estimate a regression using OLS, but you do not include an intercept, do you know if the mean of the residuals is zero? Explain.
Suppose among 312 large city residents sampled, 65 refused to cooperate. What is the margin of error at the 95% confidence level.
Determine the 95 percent confidence interval and the 95 percent prediction interval for the selling price of a home with 2,200 square feet.
A sample of waterfall heights in Hawaii show that the average height is 261.5 feet with a standard deviation of 13.76 feet.
Three are selected, at random, without replacement from the batch. What is the probability that the third is not defective given that one of the previous two are defective?
Compute a 95% confidence interval for the population mean, based on the sample 32, 38, 31, 34, 35, 32, and 36. Change the number from 36 to 14 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme..
He argues that the regression effort says people who perform very poorly in their previous job tend to perform well in their next job. Is this what the regression effect says? Explain.
Is there a significant difference in the proportions of patients reporting pain relief?
Test the hypothesis that the machines are showing difference qualities of performance. Use 5 per cent level of significance.
Listed below are the commissions earned ($000) last year by the sales representatives at the Furniture Patch, Inc.
What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment?
The amount of money spent by a customer is uniformly distributed over (0,100). Find the mean and variance of the amount of money that the store takes on a given day.
If μ represents the mean increase in the verbal SAT score if all high school students used the method, the alternative hypothesis the teacher wishes to test is what?
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