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Given are five observations collected in a regression study on two variables.
x1
2
6
9
13
20
y1
7
18
26
23
1. What percentage of the total sum of squares can be accounted for by the estimated regression equation? Answer_____%
2. What is the value of the sample correlation coefficient (to three decimals)? Answer __________.
3. What is the value of the standard error of the estimate (to four decimals) ? Answer _________.
4. Test for a significant relationship using the t test. Use ? = .05. t = Answer (to two decimals) _________.
5. Use the F test to test for a significant relationship. Use ? = .05 F = Answer (to two decimals) _________.
6. Develop the 95% confidence interval when x = 12 (to two decimals) __________ to ___________.
7. Develop the prediction interval when x = 12 (to two decimals) __________ to ____________.
In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds.
Females aged 50 and over are approximately normally distributed with a mean of 250 mg/dL and a standard deviation of 30 mg/dL. What is Mrs. Brown's cholesterol level?
A new book is being released and a bookstore predicts that 70% of customers that walk through the door on the release day will purchase the book.
At the 5% level of significance, test whether the proportion of internet users paying bills online is now more than 50%.
a simple random sample of 60 items resulted in a sample mean of 80. the population standard deviation is 18.a. compute
Fitting of simple linear regression equation - A researcher wishes to determine whether a person's age is related to the number of hours he or she jogs per week.
business needs to be at least $8 million dollars in annual sales before expansion could be considered. The following is data for the past 6 years. What should the owner's decision be regarding expansion in 2010?
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank sum test, evaluate the significance of the results, assuming there are no ties.
A sample of scores on an examination given to both males and females is: At the .01 level of significance, is the mean grade of the female students higher than that of the males?
Three-month period actually exceeds 1.5 days. Would it be reasonable to conclude that the mean amount of unpaid time lost has increased above the previously estimated 1.0 days? Explain.
Suppose that in a random sample of 230 hockey players, 19 of them indicated that they are left-handed. Find the 97% Wilson estimate (plus four) confidence interval for the proportion of all hockey players that are left-handed.
A random sample of 900 workers in a particular city found 342 workers who had full health insurance coverage. Find a 95% confidence interval for the true percent of workers in this city who have full health insurance coverage.
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