Exam 18: Review of Statistical Inference

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The sampling distribution of the ratio of two sample variances is said to be F-distributed provided that we have two ____________________ samples drawn from their respective populations.

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The following 10 observations of variables x and y were collected. The following 10 observations of variables x and y were collected.    Find the least squares regression line, and the estimated value of y when x = 3. Find the least squares regression line, and the estimated value of y when x = 3.

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The rule of ____________________ states that in order to conduct the chi-squared goodness-of-fit test, the expected value for each cell must be ____________________ or more.

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The adjusted coefficient of determination is adjusted for the:

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A regression analysis between sales (in $) and advertising (in $) resulted in the following least squares line: A regression analysis between sales (in $) and advertising (in $) resulted in the following least squares line:   . This implies that an increase of $1 in advertising is associated with an increase of $60 in sales. . This implies that an increase of $1 in advertising is associated with an increase of $60 in sales.

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A(n) ____________________ experiment is like a binomial experiment except it contains two or more categories.

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Multicollinearity is present if the dependent variable is linearly related to one of the explanatory variables.

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In the first-order linear regression model, the population parameters of the y-intercept and the slope are, respectively,

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Based on sample data, the 90% confidence interval limits for the population mean are LCL = 170.86 and UCL = 195.42. If the 10% level of significance were used in testing the hypotheses H0: μ\mu = 201 vs. H1: μ\mu \neq 201, the null hypothesis:

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A multiple regression model has:

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In reference to the equation In reference to the equation   , the value 0.12 is the average change in y per unit change in x<sub>1</sub>, when x<sub>2</sub> is held constant. , the value 0.12 is the average change in y per unit change in x1, when x2 is held constant.

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Which of the following statements regarding multicollinearity is not true?

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The F-test used for testing the difference in 2 population variances is always a one-tailed test.

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Multicollinearity is a situation in which two or more of the independent variables are highly correlated with each other.

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The residual ri is defined as the difference between the actual value yi and the estimated value The residual r<sub>i</sub> is defined as the difference between the actual value y<sub>i</sub> and the estimated value   . .

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A chi-squared test is used to describe a population of nominal data.

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The width of the confidence interval estimate for the predicted value of y depends on

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The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

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An inverse relationship between an independent variable x and a dependent variably y means that as x increases, y decreases, and vice versa.

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In calculating the standard error of the estimate, In calculating the standard error of the estimate,   , there are (n - k - 1) degrees of freedom, where n is the sample size and k is the number of independent variables in the model. , there are (n - k - 1) degrees of freedom, where n is the sample size and k is the number of independent variables in the model.

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