When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months) 3 6. 12 No. of Rabbits 32 107 309 770

For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20.   week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30

The data in the table below shows the intensity and loudness level of variaous sounds 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 Intensity-watt per Meter2 (x) 0.1   3   25   97 Loudness Level- decibels (y) 109  120   131 141

Airborne concentrations of a pollutant follow a lognormal distribution. The pollutant has concentrations that exceed 1.5 ppm 33% of the time, and exceed 6.025 ppm 2.5% of the time. What fraction of the time is 13.934 ppm exceeded?

Determine whether the following table shows exponential data or linear data.   x  0   5  10  15   y         62       135.9 298        653.4 a) The data are linear.b) The data are exponential.

. Let T ∼ Pascal(m = 30, p = 1/2). For example, T could be measuring the number of cointosses required to see 30 heads.Use an inequality covered in class to put an upper bound on the probability Pr[T ≥ 100].

Which data set is exponential?     (0, 0.1), (1, 0.5), (2, 2.5), (3, 12.5)     (0, -1), (1, 0), (2, 7), (3, 20)     (0, -1), (1, 0.5), (2, 2), (3, 3.5)     (0, -1), (1, 2), (2, 11), (3, 26)

Part 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…

Assuming equal effort (# of nets in the water has not changed and the fishing season dates have stayed the same) identify trends in the squid population you see in the data. Based on your textbook reading this week, speculate what processes or dynamics could produce the population trends seen in your data.

Table 3 gives the market value of a luxury sedan (in dollars) xyears after its purchase. Find an exponential regression model of the form y= ab* for this data set. Estimate the purchase price of the sedan. Estimate the value of the sedan 10 years after its purchase. Round answers to the nearest dollar. TABLE 3 Value ($) 1 23,125 19,050 3 15,625 11,875 5 9,450 6 7,125 2.