Exam 18: Review of Statistical Inference

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The problem of multicollinearity arises when the:

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A chi-squared distribution has a shape that is ____________________.

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One method of diagnosing heteroscedasticity is to plot the residuals against the predicted values of y, then look for a change in the spread of the plotted values.

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A councilwoman regularly polls her constituency to gauge her level of support among voters. This month, 652 out of 1158 voters support her. Five months ago, 412 out of 982 voters supported her. With a 5% significance level, can she infer that support has increased by at least 10 percentage points?

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The method statisticians use to produce a straight line that minimizes the SSE is called the ____________________ method.

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The service manager of a car dealer wants to determine if owners of new cars (two years old or less) tune up their cars more frequently than owners of older cars (more than two years old). From his records he takes a random sample of ten new cars and ten older cars and determines the number of times the cars were tuned up in the last 12 months. The data follow. Do these data allow the service station owner to infer at the 10% significance level that new car owners tune up their cars more frequently than older car owners? The service manager of a car dealer wants to determine if owners of new cars (two years old or less) tune up their cars more frequently than owners of older cars (more than two years old). From his records he takes a random sample of ten new cars and ten older cars and determines the number of times the cars were tuned up in the last 12 months. The data follow. Do these data allow the service station owner to infer at the 10% significance level that new car owners tune up their cars more frequently than older car owners?

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The F-distribution is the sampling distribution of the ratio of:

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For a multiple regression model, the total variation in y can be expressed as:

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The test statistic employed to test The test statistic employed to test   is   is F-distributed with v<sub>1</sub> = n<sub>1</sub> -  1 and v<sub>2</sub> = n<sub>2</sub> - 1 degrees of freedom if the two populations are F-distributed. is The test statistic employed to test   is   is F-distributed with v<sub>1</sub> = n<sub>1</sub> -  1 and v<sub>2</sub> = n<sub>2</sub> - 1 degrees of freedom if the two populations are F-distributed. is F-distributed with v1 = n1 - 1 and v2 = n2 - 1 degrees of freedom if the two populations are F-distributed.

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The t-distribution is used in a confidence interval for a mean when the actual standard error is not known.

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When the error variable does not have constant variance, this condition is called ____________________.

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A scatter diagram includes the following data points: A scatter diagram includes the following data points:    Two regression models are proposed: (1)   , and (2)   . Using the least squares method, which of these regression models provides the better fit to the data? Why? Two regression models are proposed: (1) A scatter diagram includes the following data points:    Two regression models are proposed: (1)   , and (2)   . Using the least squares method, which of these regression models provides the better fit to the data? Why? , and (2) A scatter diagram includes the following data points:    Two regression models are proposed: (1)   , and (2)   . Using the least squares method, which of these regression models provides the better fit to the data? Why? . Using the least squares method, which of these regression models provides the better fit to the data? Why?

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If the coefficient of correlation is 1.0, then the coefficient of determination must be 1.0.

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SST measures the variation ____________________ treatments.

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Which of the following is not an example illustrating the use of variance?

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The pooled-variances t-test requires that the two population variances need not be the same.

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The Bonferroni adjustment to Fisher's Least Significant Difference (LSD) multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

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SSE measures the variation ____________________ treatments.

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In the simple linear regression model, the y-intercept represents the:

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The ANOVA procedure tests to determine whether differences exist between two or more population ____________________.

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