You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the respective state real GDP (g y). The results are as follows: Aur = 2.81-0.23 x gy, R2=0.36, SER= 0.78 (0.12) (0.04) Assuming that the estimator has a normal distribution, the 95% confidence interval for the intercept is approximately the interval:
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a. [2.57, 3.05]
b. [-0.31, 0.15]
c. [-0.31, -0.15]
d. [-0.33, -0.13]
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- the logistic equation y=9200/(1+8.03x^-0.121t) models the gross domestic product (GDP) of the united states from 1970 through 1992, where t is the number of years after 1970 and y is in billions of dollars. at what value of t is the growth in GDP increasing most rapidly in what year?A manufacturer is developing a facility plan to provide production capacity for its factory. The amount of capacity required in the future depends on the number of products demanded by its customers. The data below reflect past sales of its products: Year Annual Sales (number of products) Year Annual Sales (number of products) 1 490 5 461 2 487 6 475 3 492 7 472 4 478 8 458 Use simple linear regression to forecast annual demand for the products for each of the next three (3) years, by using the tabular method to: derive the values for the intercept and slope derive the linear equation plot the linear regression line develop a forecast for the firm’s annual sales for each of the next three yearsThe rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10), where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction f(t) = 0.2 + 0.04t of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2002 to the start of 2010. HINT [Rate of consumption = s(t)f(t).] _____gal
- Ampomah Group is a large is large Ghanaian consumer products company with origin in Nkawkaw in the Eastern Region. The company primarily specializes in Shampoo, Diapers, Baby food and Cold medicine. Ampomah Group has business operations in over 50 cities in Ghana. The Company has been following the economic trends since 2020 and has found that after the COVID-19 pandemic, low income households have been growing two times as quickly as other consumer segments. The preliminary report of the recent 2021 Population and Housing Census indicates a further extension of this trend in the next decade. Low income is defined as families with income at the poverty level or below.Ampomah Group has always had a premium product strategy. It sells its products in grocery stores, convenience stores, mass retailers, etc., but its products are always priced at the high-end of their respective categories. It has never targeted the low income segment before and doesn’t have a low income strategy, but given…Past class data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from the College of Information Technology and Engineering from Dr. Kalaw is: final exam = 50 + 0.5 × midterm One interpretation of the slope is a. students only receive half as much credit (.5) for a correct answer on the final exam compared to a correct answer on the midterm exam. b. a student who scored 0 on the midterm would be predicted to score 50 on the final exam. c. a student who scored 10 points higher than another student on the midterm would be predicted to score 5 points higher than the other student on the final exam. d. a student who scored 0 on the final exam would be predicted to score 50 on the midterm exam.Conduct a regression analysis in Excel using the following data: X Y 12 40 23 50 40 59 33 58 18 45 a) What is the value of b0? Include 1 decimal place in your answer. b) What is the value of b1? Include 2 decimal places in your answer.
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- Does the following dataset satisfy GARP?Sediment buildup behind a dam can adversely affect a reservoir's storage capacity. Measurements of a reservoir in 1988 showed it had a capacity of 500,000 acre-feet of water. Measurements in 2018 showed that the reservoir's capacity has been decreasing at a rate of 2,000 acre-feet per year. Find a linear model of the number of acre-feet A of water in the reservoir n years after 1988.The type of economic indicator that can best be used for business forecasting is the: