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Question - Margin of error for the predicted response. Refer to Example. What is the 95% margin of error of y^ when x = 9.0? Would you expect the 95% margin of error to be larger, smaller, or the same for x = 10.0? Explain.
Example - Prediction interval for an average of 9000 steps per day. Let's find the prediction interval for a future observation of BMI when a college-aged woman averages 9000 steps per day. The predicted value is the same as the estimate of the average BMI that we calculated in Example 10.11, that is, 23.7 kg/m2. Software tells us that the 95% prediction interval is 16.4 to 31.0 kg/m2. This interval is extremely wide, covering BMI values that are classified as underweight and obese. Because of the large amount of scatter about the regression line, prediction intervals here are relatively useless.
While a larger sample would better estimate the population regression line, it would not reduce the degree of scatter about the line. In other words, prediction intervals for BMI given activity level will always be wide. This example clearly demonstrates that a very small P-value for the significance test for a zero slope does not necessarily imply that we have found a strong predictive relationship.
How many independent monkey typists would you need in order that the probability that the word appears is at least .90?
A portfolio contains 16 independent risks, each with a gamma distribution with parameters a = 1and () = 250. Give an expression using the incomplete gamma.
The following data were collected as part of a study of coffee consumption among male and female undergraduate students. The following reflect cups per day consumed: Generate a 95% confidence interval for the difference in mean numbers of cups of ..
At a 5% level of significance, is there enough evidence from this survey to conclude that more than half of all adults would rather have $100 than a day off?
Given the results in file XR14082, and using the 0.05 level of significance, examine whether the population median customer ratings for the three restaurants could be the same. Identify and interpret the p-value for the test.
What fraction of all bags sold are underweight?- Some of the chips are sold in bargain packs of 3 bags. What's the probability that none of the 3 is underweight?
The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23.
Assume that 12 percent of adults in this country have filed for bankruptcy at some point in their life.
Discuss a scenario where two-sample hypothesis testing might be useful for you. Explain what a type 1 error would mean for this scenario. Explain what a type 2 error would mean.
Find the value of the factorial, 7! Find the value of the permutation 7P2. Find the value of the combination 9C2
1. What were the major commercial centers in the Afro-Eurasian world? How did they fostercommercial exchange and establish a new commercial class?
Of the polynomial models discussed in this section, which one would tend to be most applicable for such data? What would be the signs of the partial regression coefficient(s) in the model?
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