STAT 200 Week 7 Homework Problems Please type your answers to these questions in this document using FULL SENTENCES. Show your work and/or include your reasoning for all problems. Save your work as a...

Please complete questions 1 - 6. I need all work to be shown, provide formulas used to achieve the answer.


STAT 200 Week 7 Homework Problems Please type your answers to these questions in this document using FULL SENTENCES. Show your work and/or include your reasoning for all problems. Save your work as a Word or .rtf file (NO “.pages”, please!) with file name “YourLastName_HW7”. Attach your file to the Assignment link and submit your work before 11:59 pm on Tuesday of Week 7. Question/Solution Score 1. The table below 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 $227,000 and for a house worth $402,000. Which rental income that you calculated do you think is closer to the true rental income? Why? Table 1: House Value versus Rental Income 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 2. The table in problem 1 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. 3. The table in problem 1 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Test at the 5% level for a positive correlation between house value and rental amount. Use the 4 steps of the Problem-Solving Process. 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 the table below: Table 4. Health Expenditure versus Prenatal Care Health Expenditure (% 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 Test at the 5% level for a correlation between percentage spent on health expenditure and the percentage of women receiving prenatal care. Use the 4 steps of the Problem-Solving Process. 5. A person’s educational attainment and age group was collected by the U.S. Census Bureau in 1984 to see if age group and educational attainment are related. The counts in thousands are in the table below ("Education by age," 2013). Do the data show that educational attainment and age are independent? Test at the 5% level, including these steps 1. State the null and alternative hypotheses and level of significance. 2. State and check assumptions. 3. Find the test statistic and p value 4. State your conclusion about whether or not to reject the null hypothesis 5. Interpret your findings Table 5: Educational Attainment and Age Group Education Age Group Row Total 25-34 35-44 45-54 55-64 >64 Did not complete HS 5416 5030 5777 7606 13746 37575 Competed HS 16431 1855 9435 8795 7558 44074 College 1-3 years 8555 5576 3124 2524 2503 22282 College 4 or more years 9771 7596 3904 3109 2483 26863 Column Total 40173 20057 22240 22034 26290 130794 6. A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in the table below ("Car preferences," 2013). Table 6: Reason for Choosing a Car Safety Reliability Cost Performance Comfort Looks 84 62 46 34 47 27 Do the data show that the frequencies observed substantiate the claim that the reasons for choosing a car are equally likely? Test at the 5% level, including these steps. 1. State the null and alternative hypotheses and level of significance. 2. State and check assumptions. 3. Find the test statistic and p value 4. State your conclusion about whether or not to reject the null hypothesis 5. Interpret your findings