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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
What is the approximate probability that the mean score X of these students is 23 or higher? D) Which of your two normal probability calculations in (a) and (c) is more accurate? Why?
Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.
Results are comparable to what could be expected in human serum. Are true binding percentages for five antibiotics tested all equal? Let α = 0.05.
Collapse the response categories in the following table so that it meets the assumption of the chi-square test; then perform the test.
Suppose that you wish to perform a nonparametric test for a difference among the medians of three or more independent populations. Which of these tests would be appropriate?
Assumed that the standard deviation of the difference in the mean number of drinks is 6.7 drinks.
Describe a different example of where the independent variable, while highly correlated to the dependent variable, does not cause the dependent variable to change directly.
Suppose that this mean applies to the population of all Ultra batteries. Complete the statements about the distribution of lifetimes of all Ultra batteries.
Which sessions, morning or afternoon, had more stable or uniform attendance over three-day period? Describe by using the suitable calculation for each data set and compare two calculations .
A recent study of 25 students showed that they spent an average of $18.53 for gasoline per week. the standard deviation of the sample was $3.00. find the 95% confidence interval of the true mean.
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. Find the probability that the family's monthly gasoline purchases will be between 86 and 96 gallons.
Is there a statically signifant relationship between these variables. b. Compute column percentages for the table to determine tthe pattern of the relationship.
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