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Zillow.com estimates of home values. Zillow.com is a real estate Web site that provides free estimates of the market value of homes. A trio of University of Texas at San Antonio professors compared Zillow estimates to actual sale prices of homes and published their results in The Appraisal Journal (Winter 2010). The analysis was based on data collected for 2,045 single-family residential properties in Arlington, Texas, that sold during the last 6 months of 2006. Sale price and Zillow estimated value (in dollars) were measured for each property. Zillow claims that this market has one of its highest-accuracy ratings. However, the research revealed that Zillow overestimated the market value by more than 10% for nearly half of the properties.
- a. What is the experimental unit for this study?
- b. Describe the variables measured in the study. Do these variables produce quantitative or qualitative data?
- c. Give a scenario where the 2,045 properties represent a population.
- d. If the 2,045 properties represent a representative sample from a population, describe the population.
- e. Suppose the relevant population is all single-family residential properties in the United States. Do you believe the 2,045 properties are representative of this population? Explain.
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Chapter 1 Solutions
EBK STATISTICS FOR BUSINESS AND ECONOMI
- The following relationships between wage (W) and education (EDU) are estimated using a sample of 100 individuals. Excel results are reported below Model 1: W=4.3-0.07 EDU+0.9 EDU2 ; se (4.9) (0.07) (0.03) SSR=0.74; SSE=22.7; SST=23.44; Model 2: W=894-21.96 EDU+0.6 EDU2-75.0 What2+6.5 What3; se (885) (25.54) (0.06) (85.0) (3.2) SSR=0.82; SSE=21.68; SST=22.50; where W is wage and What is the fitted value of W. 1. In Model 1 test the hypothesis that education has no effect on wage 2. Test the adequacy of model W=B1+B2 EDU+B3 EDU?arrow_forwardFor the students of the college, the visual appearance of the campus is _______(rival/nonrival) and ______(nonexcludable/excludable). Thus, the visual appearance would be classified as a public good. Suppose the college administrators estimate that the beautification initiative will cost $34,980. To decide whether the initiative should be undertaken, administrators conduct a survey of the college's 1,460 students, asking each of them their willingness to pay for the beautification project. The average willingness to pay, as revealed by the survey, is $32. The benefit of the beautification initiative, as suggested by the survey, is $_______. Because the estimated benefit is _______(less/greater) than the cost, the college administrators _______(should not/should) undertake the beautification initiative. The calculation of the benefit of the beautification initiative relied on the ability of the administrators to capture the true willingness to pay of each student accurately. Which…arrow_forwardUsing demand and supply analysis to discuss the recent price increases in the Singapore resale HDB and private property market. Are the price increases concentrated in certain locations or are they broad base changes?Use the straits times news and real statistic to discuss instead of using chatgpt to give unsupportive answer.All discussions must support by one most recent example.arrow_forward
- The Australian Government has developed a survey to enable it to gauge the views of the Australian public regarding "Climate Change". The survey consists of a sample of 400 Australian Citizens and Permanent Residents regarding their views on a wide range of Climate Change topics. The Government intends to use the results of the survey to assist in the formulation of government policy for the next 30 years. The variables used in the dataset are as follows: Variable Name Explanation Options Cars Number of motor vehicles in your household Income Your income in Dollars ($) Support Belief that Australia should financially support developing countries in their efforts to address Climate Change (Yes, No) Cause Who/what you think is most responsible for Climate Change (Mostly Human, Mostly Natural, There is no Climate Change, Unsure/Undecided} Solar_Panels Willingness to Install Solar Panels For each of the scenarios outlined below, describe a type of Visualisation (i.e. a Chart/Table/Graph)…arrow_forwardWe are studying the factors that contribute to unemployment at an individual level. UE, unemployment, is our dependent variable and it is a binary variable that takes the value 1 if an individual is unemployed and 0 if they are employed. We have a random sample and we estimate the following model: UE^= 0.508−0.051educ−0.023urban+0.005age(0.122) (0.012) (0.005) (0.002)n=6214, R2=0.474 where educ = an individual’s years of education urban = a dummy equal to 1 if the individual lives in an urban area and 0 otherwise age = an individual’s age in years What is the correct interpretation of the estimated coefficient on education?arrow_forwardThe questions has two parts: A departmental store sells stereo systems, television sets and radios. The percentage distribution of the total sales volume (in rupees) is estimated as 30 per cent stereos, 50 per cent televisions and 20 per cent radios. The prices of one stereo, one television and one radio in 1990 were $ 20,000, $15,000 and $ 500 respectively while their respective prices in 1995 were $25,000, $ 20,000 and $ 800. A weighted price index for 1995 with base 1990 is to be computed. (i) Which index number formula is appropriate, why? (ii) Compute the index.arrow_forward
- A life insurance company wishes to examine the relationship between the amount of life insurance held by a family and family income. From a random sample of households, the company collected the accompanying INCOME 97 INSUR 38 data. The data are in units of thousands of dollars. INSUR 141 29 Let y = 280 75 X = INCOME 303 81 453 137 357 77 199 43 251 53 807 184 147 45 272 70 537 128 527 117 245 55 483 116 673 204 194 46 154 51 163 48 280 69 507 140 464 136 321 71 873 206 476 144 574 111 251 65 497 130 826 171 133 32 259 82 281 73 446 146 3 The vertical intercept of the estimated regression equation is 332 77 a 11.009 219 48 b 9.830 208 55 8.776 180 48 d 7.836 169 42 273 69 502 127 547 126 281 80 428 143 370 77 221 49 214 51arrow_forwardSir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studen th = 19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Interpret the estimated slope coefficient and intercept coefficient. What is the meaning of the regression R2 ? What is the prediction for the height of a child whose parents have an average height of 70.06 inches? a. b. с. d. What is the interpretation of the SER here? Is the slope coefficient statistically significantly different from zero (at the 5% significance level)? e.arrow_forwardIn order to determine the new cost of living index, it is proposed to make survey of the income and expenditure of 1,000 households in a large city. Describe carefully two methods which might be use to select the sample households.arrow_forward
- Scenario: The following model was fitted to data on gas mileage as a function of weight of vehicle and type of vehicle (sport utility vehicle, family sedan, subcompact). Model: MPG = 50 - 0.004WT - 8SUV - 3FS MPG =miles per gallon; WT=weight of vehicle; SUV=sport utility vehicle; FS=family sedan Answer the questions below. 1. Each pound of weight reduces fuel economy by MPG 2. Fuel economy is reduced by MPG for a sport utility vehicle 3. Fuel economy is reduced by MPG for a family sedan 4. For a subcompact car weighing 1000 pounds, what is the predicted fuel economy?arrow_forwardWe have estimated the impact of gross domestic product (GDP), energy consumption (ENERGY) and population (POP) on CO2 emiisions (CO2) in Cyprus. The results are as follows, Dependent Variable: CO2 Method: Least Squares Date: 04/20/17 Time: 09.46 Sample: 1990 2013 Included observations: 24 Variable Coefficient Std. Error t-Statistic Prob. GDP ENERGY POP 2.002813 0.022114 -0.734352 0.203927 6.458672 0.011872 0.328388 0.293686 0,310097 1.862670 -2.236233 0.694371 0.7597 0.0773 0,0369 0.4954 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic Prob(F-statistic) 0.825079 Mean dependentyar 0.798841 0.048515 Akaike info criterion 0.047074 Schwarz criterion 40.75460 Hannan-Quinn.criter. 31.44583 Durbin-Wats on stat 0.000000 3.625982 0.108170 -3.062883 -2.866541 -3.010793 1.410912 S.D. dependent yar a Write down the economie function for the above estimation by using the information obtained from above table| b- Write down the economic model for the above…arrow_forwardProduct Quality Value for Money Ease of use 0.8 0.6 0.7 21 0.2 0.5 0.8 3. 0.6 0.3 0.5 4 (Proposed) 0.4 0.7 0.1 Importance weight I 1.6 A company conducted a survey of shoppers to understand customer buying habits and determine the share of shoppers that a new product might attract. The customer rated three existing products and one proposed new product on three dimensions: 1.Quality, 2. Durability, and 3. Ease of use. The results of this survey are shown in the following table. The expected market share for the new proposed product (product number 4) is: (2.0) A. 46.3 В. 25.2 C. 15.1 D. 11.6 20.0 E.arrow_forward
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