Exam 12: Simple Regression Analysis and Correlation

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A researcher has developed the regression equation y = 2.164 + 1.3657x,where n = 6,the mean of x is 8.667,Sxx = 89.333,and Se = 3.44.The researcher wants to test if the slope is significantly positive,and he chooses a significance level of 0.05.The critical t value is ______.

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In regression,the predictor variable is called the dependent variable.

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Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables. Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.     Annie's regression model can be written as: __________. Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.     Annie's regression model can be written as: __________. Annie's regression model can be written as: __________.

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A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch).The slope of the accountant's model is ______.

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The proportion of variability of the dependent variable accounted for or explained by the independent variable is called the _______.

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A simple regression model resulted in a sum of squares of error of 125 ,and the standard error is 3.95.This model is for ______ pairs of data.

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The standard error of the estimate,denoted se,is the square root of the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

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A quality manager is developing a regression model to predict the total number of defects as a function of the day of week the item is produced.Production runs are done 10 hours a day,7 days a week. The dependent variable is ______.

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The following residuals plot indicates _______________. The following residuals plot indicates _______________.

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The coefficient of determination is the proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x).

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In the simple regression model,y = 21 − 5x,if the coefficient of determination is 0.81,we can say that the coefficient of correlation between y and x is 0.90.

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In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

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The process of constructing a mathematical model or function that can be used to predict or determine one variable by another variable is called regression analysis.

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To determine whether the overall regression model is significant,the F-test is used.

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From the following scatter plot,we can say that between y and x there is _______. From the following scatter plot,we can say that between y and x there is _______.

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Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables. Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.     Annie's sample size is __________. Annie Mikhail,market analyst for a national company specializing in historic city tours,is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables.     Annie's sample size is __________. Annie's sample size is __________.

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If there is perfect negative correlation between two sets of numbers,then _______.

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The numerical value of the coefficient of correlation must be _______.

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Louis Katz,a cost accountant at Papalote Plastics,Inc.(PPI),is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI.Louis's independent variable is production lot size (in 1,000's of units),and his dependent variable is the total cost of the lot (in $100's).Regression analysis of the data yielded the following tables. Louis Katz,a cost accountant at Papalote Plastics,Inc.(PPI),is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI.Louis's independent variable is production lot size (in 1,000's of units),and his dependent variable is the total cost of the lot (in $100's).Regression analysis of the data yielded the following tables.     Louis's sample size (n)is ________________. Louis Katz,a cost accountant at Papalote Plastics,Inc.(PPI),is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI.Louis's independent variable is production lot size (in 1,000's of units),and his dependent variable is the total cost of the lot (in $100's).Regression analysis of the data yielded the following tables.     Louis's sample size (n)is ________________. Louis's sample size (n)is ________________.

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In a regression analysis if SST = 150 and SSR = 100,r 2 = _________.

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