STAT 200 Week 7 Homework Problems_With Verified Solutions

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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 81000 6656 77000 4576 75000 7280 67500 6864 95000 7904 94000 8736 90000 6240 85000 7072 121000 12064 115000 7904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9568 140000 9152 135000 7488 165000 13312 165000 8528 155000 7488 148000 8320 178000 11856 174000 10400 170000 9568 170000 12688 200000 12272 200000 10608 194000 11232 190000 8320 214000 8528 208000 10400 200000 10400 200000 8320 240000 10192 240000 12064 240000 11648 225000 12480 289000 11648 270000 12896 262000 10192 244500 11232 325000 12480 310000 12480 303000 12272 300000 12480 Slope = 0.0244 y - intercept = a = y – bx = 5363.86 Regression Equation: y = 5363.86 + 0.0244x Y = 5363.89 + (0.0244*230,000) = $10,994.79 $230,000 house predicted rental cost: $10,994.79 per month y = 5363.89 + (0.0244*400,000) = $15,156.78 $400,000 house predicted rental cost: $15,156.78 per month The house valued at $230,000 has a rental income closer to the true rental income as its rental value is closest to the average total income. 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 areavailable 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 Slope = 1.66060 y - intercept = a = y – bx = 69.7394 Regression Equation: y = 69.7394 + 1.6606x y = 69.7394 + (1.6606*0.05) = 69.82% When GDP = 5%, 69.82% of women are receiving prenatal care y = 69.7394 + (1.6606*0.12) = 69.94% When GDP = 12%, 69.94% of women are receiving prenatal care The predicted percentage is closer to the true percentage when the GDP is

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