Exam 9: Correlation and Regression

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For the next questions, identify the choice that contains a conclusion with a common correlation error. -Given: There is a linear correlation coefficient very close to 0 between mothers who smoked during pregnancy and the incidence of influenza in their babies

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A

For the next questions, identify the choice that contains a conclusion with a common correlation error. -Find the value of the linear correlation coefficient r .

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r = .628

Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Identify the P-value corresponding to the overall significance of the multiple regression equation that expresses the year in terms of global temperature and US production of CFCs. -Identify the P-value corresponding to the overall significance of the multiple regression equation that expresses the year in terms of global temperature and US production of CFCs.

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P = .002

Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -If exactly two independent variables are to be used to predict the year, which two variables should be chosen? -If exactly two independent variables are to be used to predict the year, which two variables should be chosen?

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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -If exactly two independent variables are to be used to predict the annual greenhouse gas emissions, which two variables should be chosen? -If exactly two independent variables are to be used to predict the annual greenhouse gas emissions, which two variables should be chosen?

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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon, engine size, and number of cylinders. -Identify the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon, engine size, and number of cylinders.

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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next  questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Which regression equation appears to be best for predicting the annual greenhouse gas emissions? -Which regression equation appears to be best for predicting the annual greenhouse gas emissions?

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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the adjusted coefficient of determination   for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon, engine size, and number of cylinders. -Identify the adjusted coefficient of determination Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the adjusted coefficient of determination   for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon, engine size, and number of cylinders. for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon, engine size, and number of cylinders.

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Use the following sample data for the next three questions. Assume the sample of paired (x, y) data is a random sample. Use the following sample data for the next three questions. Assume the sample of paired (x, y) data is a random sample.   -Construct a scatterplot. -Construct a scatterplot.

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Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Which regression equation appears to be best for predicting the year? -Which regression equation appears to be best for predicting the year?

(Essay)
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Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -If only one independent variable is used to predict the year, which single variable is best? -If only one independent variable is used to predict the year, which single variable is best?

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Use the following sample data to answer the next questions. The paired data consist of the cost of regionally advertising (in thousands of dollars) a certain pharmaceutical drug and the number of new prescriptions written (in thousands). Use the following sample data to answer the next questions. The paired data consist of the cost of regionally advertising (in thousands of dollars) a certain pharmaceutical drug and the number of new prescriptions written (in thousands).   -Find the standard error of estimate   . -Find the standard error of estimate Use the following sample data to answer the next questions. The paired data consist of the cost of regionally advertising (in thousands of dollars) a certain pharmaceutical drug and the number of new prescriptions written (in thousands).   -Find the standard error of estimate   . .

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For the next questions, identify the choice that contains a conclusion with a common correlation error. -Construct a scatterplot.

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Use the following sample data for the next three questions. Assume the sample of paired (x, y) data is a random sample. Use the following sample data for the next three questions. Assume the sample of paired (x, y) data is a random sample.   -Find the value of the linear correlation coefficient r . -Find the value of the linear correlation coefficient r .

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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the P-value corresponding to the overall significance of the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon and number of cylinders. -Identify the P-value corresponding to the overall significance of the multiple regression equation that expresses the annual greenhouse gas emissions in terms of miles per gallon and number of cylinders.

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For the next questions, identify the choice that contains a conclusion with a common correlation error. -Given: There is a linear correlation coefficient very close to 0 between black willow tree cuttings monitored for survival at 7 days and black willow tree cuttings monitored for survival at 14 days

(Multiple Choice)
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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the value of the multiple coefficient of determination   for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of engine size and number of cylinders. -Identify the value of the multiple coefficient of determination Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -Identify the value of the multiple coefficient of determination   for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of engine size and number of cylinders. for the multiple regression equation that expresses the annual greenhouse gas emissions in terms of engine size and number of cylinders.

(Essay)
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Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Identify the adjusted coefficient of determination   for the multiple regression equation that expresses the year in terms of ozone level, global temperature, and US production of CFCs. -Identify the adjusted coefficient of determination Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Identify the adjusted coefficient of determination   for the multiple regression equation that expresses the year in terms of ozone level, global temperature, and US production of CFCs. for the multiple regression equation that expresses the year in terms of ozone level, global temperature, and US production of CFCs.

(Essay)
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Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons). Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Identify the value of the multiple coefficient of determination   for the multiple regression equation that expresses the year in terms of ozone level and global temperature. -Identify the value of the multiple coefficient of determination Use the following display for the next questions. The display is based on sample annual data relating to the ozone layer monitoring at Halley Station in Antarctica. The dependent variable is the year. The independent variables are as follows: the level of ozone in Dobson units (DU), the global temperature (Temp, in °C ), and the United States chlorofluorocarbon (CFC) gases production (in thousands of metric tons).   -Identify the value of the multiple coefficient of determination   for the multiple regression equation that expresses the year in terms of ozone level and global temperature. for the multiple regression equation that expresses the year in terms of ozone level and global temperature.

(Essay)
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Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl). Use the following display for the next questions. The display is based on a sample of hybrid cars, SUVs, and trucks. The dependent variable is the annual greenhouse gas emissions (in tons). The independent variables are as follows: combination miles per gallon (Mpg), engine size in liters (ES), and number of cylinders (Cyl).   -If only one independent variable is used to predict the annual greenhouse gas emissions, which single variable is best? -If only one independent variable is used to predict the annual greenhouse gas emissions, which single variable is best?

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