Exam 8: Regression, Associations, and Predictive Modeling

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Would it be better for customers for a year to have a negative residual or a positive residual from this model? Explain.

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You are given the following costs to build a square deck for your house:  Width (ft) 456789101112131415 Cost ($) 150255350500650800100012001450170019502250\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | c | c | } \hline \text { Width (ft) } & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\\hline \text { Cost (\$) } & 150 & 255 & 350 & 500 & 650 & 800 & 1000 & 1200 & 1450 & 1700 & 1950 & 2250 \\\hline\end{array} a. Use re-expressed data to create a model that predicts the cost of the deck based on the width. b. Why do you think that your model is appropriate? c. Find the predicted cost of a square deck that is 10.5 feet wide. d. Is it reasonable to use this model to predict the cost of a square deck that is 20 feet wide? Explain.

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Which is true about a 99% confidence interval based on a given sample? I. The interval contains 99% of the population. II. Results from 99% of all samples will lie in this interval. III. The interval is wider than a 95% confidence interval would be.

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Which is true about a 95% confidence interval based on a given sample? I. The interval contains 95% of the population. II. Results from 95% of all samples will lie in the interval. III. The interval is narrower than a 98% confidence interval would be.

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Describe how you will use a random number table to conduct this simulation.

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What is the probability that none of the first three customers gets more than a 30% discount?

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Which statement correctly compares t-distributions to the normal distribution? I. t distributions are also mound shaped and symmetric. II. t distributions have less spread than the normal distribution. III. As degrees of freedom increase, the variance of t distributions becomes smaller.

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After conducting a survey of his students, a professor reported that "There appears to be a strong correlation between grade point average and whether or not a student works." Comment on this observation.

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A regression analysis of company profits and the amount of money the company spent on Advertising found r2 = 0.72 . Which of these is true? I. This model can correctly predict the profit for 72% of companies. II. On average, about 72% of a company's profit results from advertising. III. On average, companies spend about 72% of their profits on advertising.

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What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

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In ANOVA, the Bonferroni method is used to...

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. -One of the reasons that the Monitoring the Future (MTF) project was started was "to study changes in the beliefs, attitudes, and behavior of young people in the United States." Data are collected from 8th, 10th, and 12th graders each year. To get a representative nationwide sample, surveys are given to a randomly selected group of students. In Spring 2004, students were asked about alcohol, illegal drug, and cigarette use. Describe the W's, if the information is given. If the information is not given, state that it is not specified. • Who: • What: • When: • Where: • How: • Why:

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Height and weight Suppose that both height and weight of adult men can be described with Normal models, and that the correlation between these variables is 0.65. If a man's height places him at the 60th percentile, at what percentile would you expect his weight to be?

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Find the following: a. What percent of the young girls reported that they drink milk? b. What percent of the young girls were in the 1989-1991 survey? c. What percent of the young girls who reported that they drink milk were in the 1989-1991 survey? d. What percent of the young girls in 1989-1991 reported they drink milk?

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What is the probability that the fisherman will get 5 nibbles on his line.

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Bone Builder Researchers believe that a new drug called Bone Builder will help bones heal after children have broken or fractured a bone. The researchers believe that Bone Builder will work differently on bone breaks than on bone fractures, because of differences in initial bone condition. Bone Builder will be used in conjunction with traditional casts. To test the impact of Bone Builder on bone healing, the researchers recruit 18 children with bone breaks and 30 children with bone fractures. Design an appropriate experiment to determine if Bone Builder will help bones heal.

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If a data point is influential it…

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The model  distance ^=3.30+0.235( speed )\sqrt { \hat { \text { distance } } } = 3.30 + 0.235 ( \text { speed } ) ) can be used to predict the stopping distance (in feet) for a Car traveling at a specific speed (in mph). According to this model, about how much distance will a Car going 65 mph need to stop?

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Two variables that are actually not related to each other may nonetheless have a very high Correlation because they both result from some other, possibly hidden, factor. This is an example of

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The best estimate of the standard deviation of the mens' weights displayed in this dotplot is The best estimate of the standard deviation of the mens' weights displayed in this dotplot is

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