Every few years, the national assessment of educational progress asks a national sample of eighth-graders to perform the same math tasks. the goal is to get an honest picture of progress in math.
suppose these are the last few national mean scores, on a scale of 0 to 500.

year: 1990 1992 1996 2000 2003 2005 2008 2011 2013
score: 265 266 270 271 276 277 279 287 289

(a) make a time plot of the mean scores, by hand. this is just a scatterplot of score against year. there is a slow linear increasing trend.
(b) find the regression line of mean score on time step-by-step.
first, calculate the mean and standard deviation of each variable and their correlation (use a calculator with these functions). then find the equation of the least-squares line from these. (round your answers to two decimal places.) draw the line on your scatterplot.

Which of the following best explains why large companies have an advantage over smaller companies? a. economies of scale make it possible to offer lower prices. b. the production possibilities frontier is wider for a larger company. c. decreasing marginal utility enables more efficient production. d. increasing the scale of production leads to a reduction in inputs.2b2t

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Peyton taylor drew a map with scale 1 cm to 10 miles. on his map, the distance between silver city and golden canyon is 3.75 cm. what is the actual distance between silver city and golden canyon?