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Regress Y against X with the following data from a random sample of 15 observations:
b. What is the 90% confidence interval for the slope?
c. Test the null hypothesis "X does not affect Y " at an α of 1%.
d. Test the null hypothesis "the slope is zero" at an α of 1%.
e. Make a point prediction of Y when X = 10.
f. Assume that the value of X is controllable. What should be the value of X if the desired value for Y is 100?
g. Construct a residual plot. Are the residuals random?
h. Construct a normal probability plot. Are the residuals normally distributed?
Identify the dependent variable and the independent variables in this study. Also, state the Omnibus Null and Alternative hypotheses.
An elevator starts with 7 passengers and stops at 10 floors (not counting the floor they got on). What is the probability that no two passengers leave the elevator on the same floor?
the manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans
How large would an SRS of American adults need to be in order for it to be safe to assume that the sampling distribution of X is approximately Normal?
An example of Simpson's paradox: full-time students do better in both kinds of courses but worse overall because they take more science courses.
Determine the mean and autocorrelation function when the signal and the noise are both Gaussian random processes and wide sense stationary.
What are the predictor and response variables? Make a scatterplot of the data and find r to see if a linear pattern seems to exist. If it appears to have a linear relationship, find the regression line. Dont forget to state what r is, and interpret..
Explain the use of normal probability plot to evaluate whether a set of data is normally distributed? Please discuss in detail.
How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
Conduct a hypothesis test to determine whether the average life expectancy of female Bostonians is higher than that of male Bostonians. Test at the 10% significance level. Run both a critical value and p-value test
Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers. Determine:
the mean iq is 100 with a standard deviation of 14. suppose iq scores are normally distributed. if your iq is 116 what
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