1. Explain an example of a study where a loglinear analysis would be used.
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- Q8. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log(rent) = 0.03048 + 0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu (.844) (.039) (.081) (.0028) i) State the null hypothesis that the percentage of students relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. What signs do you expect for B₁ and ₂ ? The equation estimated for 64 college towns is log(rent) = 0.03048 + 0.5 * log(pop) + 0.673 log(avginc) + 0.0045 pctstu (.844) (.039) (.081) (.0017) Standard errors are given in the parentheses. test the null hypothesis H_0 that "10% ceteris paribus increase in population is associated with about a 6.6% increase…Example 4 Estimate the population at 2000 using the following data by Declining growth and Curve fitting methods. 1970 10,000 Year 1980 1990 2000 Pop. number 15,000 18,000 ??,???The following table shows the bison population in Yellowstone National Park for several years. Year 1910 1911 1912 1913 1916 1920 1925 1929 Number of bison 149 168 192 215 348 501 830 1109 Which of the following would be the most appropriate type of function to model this data? An exponential function A logarithmic function A square root function A linear function
- Critically assess the goodness-of-fit measures of logit models.This shows log GDP per capita for the UK. Which of the following statements are correct? Select one or more: a. The graph shows that in 1950 UK GDP per capita was about £8.75. b. The trend growth rate over the period was 0.9889% per annum. c. When actual output is below trend output the economy is in recession. d. The trend growth rate over the period was 2.14 % per annum.2. Modeling with Logarithmic Functions: The sales of popular products can often be modeled using logarithmic functions. a. Harry Potter book sales would be a good candidate for logarithmic growth. The 7th book Deathly Hallows released in July of 2007 and sold 8.3 million copies in the first 24 hours. Approximately 6 months after its release sales totaled 44 million copies. Using this information, find a logarithmic function y = a + bln(x) to model the sale of Harry Potter and the Deathly Hallows. b. How many copies does your function predict would be sold in total by this year (2022)? c. Today, about 65 million copies of Harry Potter and the Deathly Hallows have been sold. How accurate was your functions approximation? d. Why does a logarithmic model make sense for modeling the sale of popular products?
- Need to be done part b only in 25 minutesplease solve it quickly for multiple votePart D. Data from the Statistical Abstract of the United States provides a panel data collected at the state level in 1987 and 1990. These data are used to estimate MODEL 1: The variables used in the analysis are: infmort is number of deaths within the year per 1,000 live births Ipcinc is natural log of per capita income Ipopul is natural log of the population (the population is in thousands) Iphysic is natural log of physicians per 100,000 inhabitants d90 is year dummy for 1990. For questions 1 to 4 you can assume that MLR 1-4 are satisfied. A 1. Use the Stata output below to interpret ß3. Test at a 5% significance level whether the number of physicians per capita has any effect on infant mortality rate. reg infmort 1pcinc 1popul 1physic d90 Source Model Residual Total infmort infmort = Po + B₁lpcinc + B₂lpopul + ß3lphysic + 8₁ d90 + u SS 78.0499129 350.452136 428.502049 df . 19.5124782 4 97 3.61290862 Coef. Std. Err. MS 101 4.24259454 1pcinc -4.693354 1.638132 1popul - .0551426…
- The present data is in the form of tables. For the data set shown by the table, a. Create a scatter plot for the data. b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data.The following model studies the effect that a chemical spill disaster had on nearby housing values. They used data from a sample of houses sold in 1980, before chemical spill disaster happened, and a separate sample of houses sold in 1985, after chemical spill had occurred. where the variables used in the analysis are: log(price) is natural log of selling price in $ y85 is a dummy variable equal to 1 if a house was sold in 1985, 0 otherwise far is a dummy variable equal to 1 if a house was far from the affected area, 0 otherwise If the chemical spill reduces the value of houses closer to the affected area, which of the following statement is correct? Select one: O a. a₁ is expected to be positive O b. O c. O d. log(price) = a + Boy85 + a₁ far + B₁y85 * far + u a₁ is expected to be negative B₁ is expected to be positive B₁ is expected to be negativeTrue, or false? One reason it is usually wise to treat an ordinal variable with methods that use the ordering is that in tests about effects, chi-squared statistics have smaller df values and tend to be more powerful. The cumulative logit model assumes that Y is ordinal; it should not be used with nominal Y. The baseline-category logit model treats Y as nominal; it can be used with ordinal Y, but it then ignores the ordering.