Exam 16: A: Simple Linear Regression and Correlation

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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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There is more error in estimating a mean value of y as opposed to predicting an individual value of y.

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Which of the following techniques is used to predict the value of one variable on the basis of other variables?

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Rock Concert Revenues A financier whose specialty is investing in rock concerts has observed that,in general,concerts with "big-name" stars seem to generate more revenue than those concerts whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions)given to the two highest-paid performers in the concert for ten concert tours. Concert Cost of Twa Highest Paid Perfarmers ( \mil ) Grass Revenue () 1 5.3 48 2 7.2 65 3 1.3 18 4 1.8 20 5 3.5 31 6 2.6 26 7 8.0 73 8 2.4 23 9 4.5 39 10 0.7 58 -{Rock Concert Revenues Narrative} Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a positive linear relationship exists between payment to the two highest-paid performers and gross revenue.

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A scatter diagram includes the following data points: x 3 2 5 4 5 y 8 6 12 10 14 Two regression models are proposed: (1) y^=1.2+2.5x\hat { y } = 1.2 + 2.5 x ,and (2) y^=4.0x\hat { y } = 4.0 x .Using the least squares method,which of these regression models provides the better fit to the data? Why?

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Testing whether the slope of the population regression line could be zero is equivalent to testing whether the:

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