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A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of trees from the height (in feet) and diameter (in inches) of the trees. The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. The multiple linear regression model
Volume = β0 + β1(Diameter) + β2(Height) + βi
is assumed to hold, where the deviations i are independent and Normally distributed with mean 0 and standard deviation . 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.
Based on these results, a 99% confidence interval for β0 is found to be -57.99 ± 23.87. We may conclude
A. if we tested the hypotheses H 0: β0 = 0, Ha: β0 ≠ 0, the P-value would be less than 0.01.B. the estimate of β0 would tell us the volume of a tree of this species when height and diameter are 0.C. Both choices are correct.
Survey of 16 tax returns reports families with incomes between $75,000 and 100,000 have on average $8,562 in Standard Deductions with the standard deviation of $1,800.
Delta Airlines quotes a flight time of 2 hrs, 5 minutes for its flights from Cincinnati to Tampa. We belive that actual flight times are uniformly distriubted between 2 hours and 2 hours 20 minutes.
In a distribution of scores, the arithmetic mean is 51, the median is 55, and the mode is 62. What is the score, in percentile form, of a subject who does less well than two-thirds of the sample?
When using the F-statistic for hypothesis testing of the variance, which sample variance is the numerator and which sample variance is the denominator?
What is the probability the Time/CNN poll will provide a sample proportion within plus-or-minus 0.02 of the population proportion?
Five children under twelve are selected at random. The probability that the average number of hours that they spend each week watching television is at least 30 is about?
A survey of 120 high school students shows that 39 of them work over 20 hours per week during the school year. Does it demonstrate the conjecture that more than 25% of the high school students work over 20 hours per week during the school year?
Will the sum of squared deviation scores be greater for the test or the exam (assume the same number of people sat both the test and the exam)? Why?
Use the Poisson Distribution the indicated probabilities in one year, there were 116 homicide deaths in Richmond VA. For a randomly selected day
At a probability of type 1 error of 0.05, test the claim that the assistant professors earn more than $42000 per year. the standard deviation of the population is $5230.
Find the probability that exactly 8 out of the 10 consumers recognize the brand name. Also find the probability that the number who recognize the brand name is not 8.
A certain type of injury has tangible costs of $40,000 per occurrence and intangible costs of $150,000 per occurrence. Perform a cost/benefit analysis to weigh the benefits of the proposed safety glasses policy against its expected costs.
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