Question

In: Statistics and Probability

Table #10.1.6 contains the value of the house and the amount of rental income in a...

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

Solutions

Expert Solution

SOl:

in excel go to inert >scatterchart

we observe a positive relationship between value and rental.

Then Go to

Data analysis >Regression

You will get below

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.764716
R Square 0.58479
Adjusted R Square 0.575764
Standard Error 1441.625
Observations 48
ANOVA
df SS MS F Significance F
Regression 1 1.35E+08 1.35E+08 64.78736 2.5E-10
Residual 46 95600982 2078282
Total 47 2.3E+08
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 5363.865 567.2408 9.456062 2.34E-12 4222.068 6505.661
Value 0.024358 0.003026 8.04906 2.5E-10 0.018267 0.03045

Regression equation is

Rental=5363.865+0.024358*Value

use the regression equation to find the rental income a house worth $230,000 and for a house worth $400,000.

For value=230000

Rental=5363.865+0.024358*230000

predicted Rental=10966.2

For value=400000

Rental=5363.865+0.024358*400000

Rental=15107.07

Rental income a house worth $230,000 is closer to true rental income


Related Solutions

The table below contains the value of the house and the amount of rental income in...
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). Table: 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...
Table #10.1.6 contains the value of the house and the amount of rental income in a...
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. 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...
The table below contains information on 48 houses: the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013).
  The table below contains information on 48 houses: the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Table: 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...
We are considering investing in a house that will cost $460,000 and generate weekly rental income...
We are considering investing in a house that will cost $460,000 and generate weekly rental income of $440. Calculate the value of our investment ftve years from today, assuming that we fund our investment using a $150,000 cash down payment and a five-year interest-only loan for the balance. This loan incurs interest of 6.1% per annum. We deposit all excess cash in a bank account that earns interest of 2.4% per annum compounded monthly. Make the following additional assumptions, which...
The following table contains summary statistics on house sales in Canberra (by region) for the last...
The following table contains summary statistics on house sales in Canberra (by region) for the last 3 months. REGION Mean House price Number of houses sold Belconnen $755481 210 Gungahlin $815826 228 Inner North $1180106 75 Inner South $1489622 42 Molonglo Valley $948222 28 Woden Valley $1065248 95 Weston Creek $802488 60 Tuggeranong $723422 228 The regions of Gungahlin and Molonglo Valley were first settled in 1991 and 2010 respectively. All other regions were settled prior to 1975. How do...
Rick is looking to purchase a rental house at below market value, so he receives advice...
Rick is looking to purchase a rental house at below market value, so he receives advice from his real estate broker, Dopey. Dopey explains it is smart to obtain a property between a 3 - 6 percent capitalization rate. Dopey suggested that Rick research the existing neighboring properties and determine the average price. Rick got three appraisals for neighboring properties: $500,000, $450,000, and $375,000. The home he wants to purchase has net operating income of $27,500 with a cap rate...
4. Billy is considering the purchase of a rental house. The house costs $240,000 and it...
4. Billy is considering the purchase of a rental house. The house costs $240,000 and it will generate annual revenues of $15,000 and annual expenses of $3,000. Nevertheless, Billy will need to borrow $240,000 at an interest rate of 7% per year in case he decides to make this investment. Should Billy purchase this house? A) No, he will lose money. B) Yes, his profits will be zero. C) No, his profits will be positive but close to zero. D)...
The table below contains the amount that a sample of nine customers spent for lunch ($)...
The table below contains the amount that a sample of nine customers spent for lunch ($) at a fast-food restaurant: 4.88 5.01 5.79 6.35 7.39 7.68 8.23 8.71 9.88 a.Compute the sample mean and sample standard deviation of the amount spent for lunch. b.Construct a 99% confidence interval estimate for the population mean amount spent for lunch ($) at the fast-food restaurant, assuming the population is normally distributed. c.Interpret the interval constructed in (b). Better to use the computer text...
The table below contains the amount that a sample of nine customers spent for lunch ($)...
The table below contains the amount that a sample of nine customers spent for lunch ($) at a fast-food restaurant: 4.88 5.01 5.79 6.35 7.39 7.68 8.23 8.71 9.88 a. Compute the sample mean and sample standard deviation of the amount spent for lunch. b. Construct a 99% confidence interval estimate for the population mean amount spent for lunch ($) at the fast-food restaurant, assuming the population is normally distributed. c. Interpret the interval constructed in (b).
Question 1 The following table contains summary statistics on house sales in Canberra (by region) for...
Question 1 The following table contains summary statistics on house sales in Canberra (by region) for the last 3 months. Region Mean House Price Number of houses sold Belconnen $755481 210 Gungahlin $815826 228 Inner North $1180106 75 Inner south $1489622 42 Molonglo Valley $948222 28 Woden Valley $1065248 95 Weston Creek $802488 60 Tuggeranong $723422 228 The lake in the Centre of Canberra in Lake Burley Griffin. The first 3 regions in the table above (that is, Belconnen, Gungahlin...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT