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Average Income 19320 17554 17310 15589 15266 15078 12749 9351 8866 4952 3627 3412 2554 2296 1871 1809 1710 1621 1345 1282 1171 1109 1091 810 585 Average Life Expectancy 76.25 75.3 78.65 75.51 76.19 76.36 73.73 73.9 76.38 71.16 64.19 74.35 57.53 56.64 62.71 57.34 54.98 46.93 52.24 53.44 60.99 57.21 49.99 45.91 60.03 In this practice assignment, you will use spreadsheet regression or the online regression calculator at http://www.alcula.com/calculators/statistics/linear- regression to examine the relationship between average annual income and average life expectancy in a country. This relationship is called the Preston curve. Open QR_8D_Spreadsheet_Practice, which gives the average annual income and average life expectancy in 25 low-income countries. Each row corresponds to a country. Use technology (spreadsheet regression or the Alcula website given above) to create a scatterplot and regression equation for the Preston curve data. Round all answer values to the nearest ten thousandth (the fourth decimal place). Part A: Slope = Part B: Choose the best interpretation of the slope. Average Life Expectancy increases 0.0014 years for every additional dollar of average income. Making more money causes you to live longer. O Living longer causes you to make more money. O Average Income increases 14 cents for every additional year that you live.

Average Income 19320 17554 17310 15589 15266 15078 12749 9351 8866 4952 3627 3412 2554 2296 1871 1809 1710 1621 1345 1282 1171 1109 1091 810 585 Average Life Expectancy 76.25 75.3 78.65 75.51 76.19 76.36 73.73 73.9 76.38 71.16 64.19 74.35 57.53 56.64 62.71 57.34 54.98 46.93 52.24 53.44 60.99 57.21 49.99 45.91 60.03 In this practice assignment, you will use spreadsheet regression or the online regression calculator at http://www.alcula.com/calculators/statistics/linear- regression to examine the relationship between average annual income and average life expectancy in a country. This relationship is called the Preston curve. Open QR_8D_Spreadsheet_Practice, which gives the average annual income and average life expectancy in 25 low-income countries. Each row corresponds to a country. Use technology (spreadsheet regression or the Alcula website given above) to create a scatterplot and regression equation for the Preston curve data. Round all answer values to the nearest ten thousandth (the fourth decimal place). Part A: Slope = Part B: Choose the best interpretation of the slope. Average Life Expectancy increases 0.0014 years for every additional dollar of average income. Making more money causes you to live longer. O Living longer causes you to make more money. O Average Income increases 14 cents for every additional year that you live.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Average Income 19320 17554 17310 15589 15266 15078 12749 9351 8866 4952 3627 3412 2554 2296 1871 1809 1710 1621 1345 1282 1171 1109 1091 810 585 Average Life Expectancy 76.25 75.3 78.65 75.51 76.19 76.36 73.73 73.9 76.38 71.16 64.19 74.35 57.53 56.64 62.71 57.34 54.98 46.93 52.24 53.44 60.99 57.21 49.99 45.91 60.03 In this practice assignment, you will use spreadsheet regression or the online regression calculator at http://www.alcula.com/calculators/statistics/linear- regression to examine the relationship between average annual income and average life expectancy in a country. This relationship is called the Preston curve. Open QR 8D Spreadsheet_Practice, which gives the average annual income and average life expectancy in 25 low-income countries. Each row corresponds to a country. Use technology (spreadsheet regression or the Alcula website given above) to create a scatterplot and regression equation for the Preston curve data. Round all answer values to the nearest ten thousandth (the fourth decimal place). Part A: Slope = Part B: Choose the best interpretation of the slope. Average Life Expectancy increases 0.0014 years for every additional dollar of average income. O Making more money causes you to live longer. O Living longer causes you to make more money. O Average Income increases 14 cents for every additional year that you live.
Transcribed Image Text:Average Income 19320 17554 17310 15589 15266 15078 12749 9351 8866 4952 3627 3412 2554 2296 1871 1809 1710 1621 1345 1282 1171 1109 1091 810 585 Average Life Expectancy 76.25 75.3 78.65 75.51 76.19 76.36 73.73 73.9 76.38 71.16 64.19 74.35 57.53 56.64 62.71 57.34 54.98 46.93 52.24 53.44 60.99 57.21 49.99 45.91 60.03 In this practice assignment, you will use spreadsheet regression or the online regression calculator at http://www.alcula.com/calculators/statistics/linear- regression to examine the relationship between average annual income and average life expectancy in a country. This relationship is called the Preston curve. Open QR 8D Spreadsheet_Practice, which gives the average annual income and average life expectancy in 25 low-income countries. Each row corresponds to a country. Use technology (spreadsheet regression or the Alcula website given above) to create a scatterplot and regression equation for the Preston curve data. Round all answer values to the nearest ten thousandth (the fourth decimal place). Part A: Slope = Part B: Choose the best interpretation of the slope. Average Life Expectancy increases 0.0014 years for every additional dollar of average income. O Making more money causes you to live longer. O Living longer causes you to make more money. O Average Income increases 14 cents for every additional year that you live.
Part C: Determine the correlation coefficient. Note that you may have to change your settings if your technology did not already report this value. Correlation coefficient = Part D: The coefficient of determination (R²) is found by squaring the correlation coefficient (r). The coefficient of determination = Part E: Choose the best interpretation of the coefficient of determination O About 70% of the variation from the predicted value for Average Income is due to changes in Average Life Expectancy. O Less than 1% of the variation from the predicted value for Average Income is due to changes in Average Life Expectancy. O Less than 1% of the variation from the predicted value for Average Life Expectancy is due to changes in Average Income. About 70% of the variation from the predicted value for Average Life Expectancy is due to changes in Average Income.
Transcribed Image Text:Part C: Determine the correlation coefficient. Note that you may have to change your settings if your technology did not already report this value. Correlation coefficient = Part D: The coefficient of determination (R²) is found by squaring the correlation coefficient (r). The coefficient of determination = Part E: Choose the best interpretation of the coefficient of determination O About 70% of the variation from the predicted value for Average Income is due to changes in Average Life Expectancy. O Less than 1% of the variation from the predicted value for Average Income is due to changes in Average Life Expectancy. O Less than 1% of the variation from the predicted value for Average Life Expectancy is due to changes in Average Income. About 70% of the variation from the predicted value for Average Life Expectancy is due to changes in Average Income.
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