Exam 8: Regression, Associations, and Predictive Modeling

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Describe why performing linear regression with these data is not a good decision.

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Comment on any unusual data point or points in the data set. Explain.

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Survey. A local news station wants to know what percentage of people favor investing in new public light-rail system for the city. They conduct a survey, calling homes between 10:00 a.m. and 3:00 p.m. Explain why this sampling plan is biased.

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Do you think the breed selection is independent of gender? Give statistical evidence to support your conclusion.

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School administrators collect data on students attending the school. Which of the following Variables is quantitative?

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A friend of yours plans to toss a fair coin 200 times. You watch the first 40 tosses, noticing that she Got only 16 heads. But then you get bored and leave. If the coin is fair, how many heads do you Expect her to have when she has finished the 200 tosses?

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The five-number summary of credit hours for 24 students in a statistics class is: Min Q1 Median Q3 Max 13.0 15.0 16.5 18.0 22.0 Which statement is true?

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Write the owner's null and alternative hypotheses.

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Trainers need to estimate the level of fat in athletes to ensure good health. Initial tests were based On a small sample but now the trainers double the sample size for a followup test. The main Purpose of the larger sample is to…

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Explain what your P-value means in this context.

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A professor runs a regression to see how students' exam scores (Y) are related to their homework Grades (  (X). The R2 of the regression is 21%. What does R2 tell us \text { (X). The } R ^ { 2 } \text { of the regression is } 21 \% \text {. What does } R ^ { 2 } \text { tell us } ?

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In this context describe a Type I error and the impact such an error would have on the company.

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Identify what is wrong with each of the following statements: a. The correlation between Olympic gold medal times for the 800m hurdles and year is -0.66 seconds per year. b. The correlation between Olympic gold medal times for the 100m dash and year is -1.37. c. Since the correlation between Olympic gold medal times for the 800m hurdles and 100m dash is -0. 41, the correlation between times for the 100m dash and the 800m hurdles is +0.41. d. If we were to measure Olympic gold medal times for the 800m hurdles in minutes instead of seconds, the correlation would be 0.66/60=0.011- 0.66 / 60 = - 0.011

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Car commercials A car dealer investigated the association between the number of TV commercials he ran each week and the number of cars he sold the following weekend. He found the correlation to be r = 0.56. During the time he collected the data he ran an average of 12.4 commercials a week with a standard deviation of 1.8, and sold an average of 30.5 cars with a standard deviation of 4.2. Next weekend he is planning a sale, hoping to sell 40 cars. Create a linear model to estimate the number of commercials he should run this week. Write a sentence explaining your recommendation.

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Approval rating The President's job approval rating is always a hot topic. Your local paper conducts a poll of 100 randomly selected adults to determine the President's job approval rating. A CNN/USA Today/Gallup poll conducts a poll of 1010 randomly selected adults. Which poll is more likely to report that the President's approval rating is below 50%,assuming that his actual approval rating is 54%? Explain.

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A residual plot that has no pattern is a sign that…

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If he gets only 5 nibbles on his line, is that a signal that he is having less success than usual? Justify your answer.

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The Wechsler Adult Intelligence Scale - Revised (WAIS-R) follows a Normal model with mean 100 and standard deviation 15. Draw and clearly label this model. The Wechsler Adult Intelligence Scale - Revised (WAIS-R) follows a Normal model with mean 100 and standard deviation 15. Draw and clearly label this model.

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A school district administrator sent a survey to all teachers in the district. Only 30% of the teachers Responded to the survey. Which of the following is true? I. The people that did not responded are likely to be similar to those that did so he should use them As the sample. II. This survey design suffered from non-response bias. III. Because he sent the survey to everyone, this is a census and the results can be applied to the Whole population.

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Which two events are most likely to be independent?

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