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Estimating confidence interval for mean value of y (dependent variable).
Consider the simple linear regression of Y, average total sleep time per 24 hour period (ASTD) on X, age of the young child (AGE). Do not use a regression program, rather run the calculations yourself on your calculator or using an Excel spreadsheet or equivalent and determine the regression parameters and the ANOVA table applicable to the following data and then answer the following parts to question 3 and select your answers from the following choices on the test document in Blackboard..
ATST(Y) AGE(X)
566.00 4.40
461.75 14.00
491.10 10.10
565.00 6.70
462.00 11.50
532.10 9.60
477.60 12.40
515.20 8.90
493.00 11.10
528.30 7.75
575.90 5.50
532.00 8.60
530.50 7.20
1. What is a 95% confidence interval for the expected average total sleep time for a child of age 12?
a) 454.51 to 505.89
b) 466.75 to 492.01
c) 449.83 to 511.67
d) 468.04 to 490.71
e) It cannot be determined from the information given.
2. A residual is the value Y1- ?1. For the given data set calculate x' and show that it is equal to:
a) 13
b) 1.95
c) 0
d) 2.55
e) 3.25
Calculate the correlation coefficient. What is the coefficient of determination from these sample statistics? What does this coefficient indicate?
Evolutionary theories often, Emphasize that humans have adapted to their physical environment. One such theory hypothesis that:
In the history class the mean score was 76 with standard deviation 3.
If die is loaded so that 6 comes up with probability 0.2 and probabilities of 2,3,4, and 5 faces are not affected, determine the assignment of probabilities to the six faces?
At the .05 significance level, is there a difference in the proportion of viewers watching the three channels?
The budgeting process for a Midwestern college resulted in expense forecasts for the coming year (in $ millions) of $9, $10, $11, $12, and $13. Since the actual expenses are unknown, the following respective probabilities are assigned: .3, .2, .25..
The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.
When we carry out a goodness of fit chi-square test, the expected frequencies are based on the alternative hypothesis
It is believed that population standard deviation is 15 days. If test is conducted using a 0.05 level of significance, what conclusion must be reached?
Develop 3 regression models to forecast selling price based upon each of other factors individually. Which of these is best?
Below are revenue and profit (both in $ billions) for nine large entertainment companies.
What is the probability that the first two cards dealt yields "Black Jack"?
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