University of Maryland - STAT 200; Week 7 Homework Problems, Already Graded A.

University of Maryland - STAT 200; Week 7 Homework Problems, Already Graded A.STAT 200 Week 7 Homework Problems 10.1.2 Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Create a scatter plot and find a regression equation between house value and rental income. Then use the regression equation to find the rental income a house worth $230,000 and for a house worth $400,000. Which rental income that you calculated do you think is closer to the true rental income? Why? Table #10.1.6: Data of House Value versus Rental Value Rental Value Rental Value Rental Value Rental Your text here 1 Using Google sheets, the calculated regression equation is y=5364+0.024x Putting x=, therefore y = 5364+0.024() = 10884 Putting x=, therefore y = 5364+0.024() = 14964 10.1.4 The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information are available for the year 2011 is in table #10.1.8. Create a scatter plot of the data and find a regression equation between percentage spent on health expenditure and the percentage of women receiving prenatal care. Then use the regression equation to find the percent of women receiving prenatal care for a country that spends 5.0% of GDP on health expenditure and for a country that spends 12.0% of GDP. Which prenatal care percentage that you calculated do you think is closer to the true percentage? Why? Table #10.1.8: Data of Health Expenditure versus Prenatal Care Health Expenditur e (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8 Using Google sheets, we calculated the regression equation y=69.739+1.661x when x=5, therefore y = 69.739+1.661*5 = 78.044 when x-12, therefore y = 69.739+1.661*12 = 89.671 78.004 is closer to the true percentage because %GDP spent on healthcare producing this percentage of women receiving prenatal care would fall within range of input data. 10.2.2 Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Find the correlation coefficient and coefficient of determination and then interpret both. Table #10.1.6: Data of House Value versus Rental Value Rental Value Rental Value Rental Value Rental calculation made using Google Sheets, Regression Statistics Multiple R 0.1 R Square 0.5 Adjusted R Square 0.1 Standard Error 1441. Observations 48 Correlation coefficient is 0.765 and coefficient of determination is 0.5848. When the r 0.8, then the correlation between the variable is Moderate Positive correlation. From the given data of the variable r=0.765 hence it is the moderate Positive correlation between the variables . 10.2.4 The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information is available for the year 2011 are in table #10.1.8. Find the correlation coefficient and coefficient of determination and then interpret both. Table #10.1.8: Data of Health Expenditure versus Prenatal Care Health Expenditur e (% of GDP) Prenatal Care (%) 9.6 47.9 3.7 54.6 5.2 93.7