The director of graduate studies at a large college of business has the objective of predicting the grade point average (GPA) of students in an MBA program. The director begins by using the Graduate Management Admission Test (GMAT) score. A sample of 20 students who have completed two years in the program is selected and stored in GPIGMAT.

Determine the coefficient of determination, $r^2$, and interpret its meaning in this problem.

An ornithologist, someone that studies birds, put radio tags on two birds and released them at the same time from the same place to study their migration. After two days, one bird was 27 miles away at 210 degrees southwest and the other was 22 miles away at 120 degrees southeast. How far apart were the birds from each other, to the nearest tenth of a mile?

Ministry of Natural Resources could study the effects on bats, butterflies, migratory birds. and aquatic species. The studies are now close to completion. allowing a number of wind farm projects to seek approval once again. Research the various stakeholders and their viewpoints. Stakeholders may include, but are not limited to, residents of the area, government, and electric generation companies. What role does the government play in the development of projects like these?

In 2007, the FDA announced that the popular drug Zelnorm used to tr eat irritable bowel syndrome was withdrawn from the market , citing concerns about serious side effects. The analysis of several studies revealed that 13 of 11,614 patients receiving the drug had a serious side effect such as heart attack or stroke, compared to just 1 out of 7,031 on placebo.

Compute the relative risk and interpret.

In Milgram's studies, obedience to authority was highest when a. the person receiving orders witnessed others defying the authority figure. b. the person receiving orders wondered whether the person giving orders had legitimate authority. c. the person supposedly receiving the shocks was physically near the person receiving orders. d. the authority figure was from a prestigious institution. e. the person receiving the orders was female.

Several studies have found a correlation between the activity levels of brown fat tissue in research participants following exposure to cold and their percentage of body fat . Devise a graph that would present the results from such a study, labeling the axes and drawing a line to show whether the results show a positive or negative correlation between the variables. Propose two hypotheses that could explain these results.

In doing "observational studies" while driving through suburban neighborhoods during the summer months, home burglars look for potential victims who are away on vacation. What kinds of observation indicators would tend to tell the burglars that a family is likely away on vacation? What are some of the strategies that vacationing homeowners might use in attempting to fool potential burglars into thinking they are not away on vacation?

For statistical studies, U.S. states are often grouped by region: Northeast, Midwest, South, and West. The 1965 total public school enrollment (in millions) in each region was 8.8, 11.8, 13.8, and 7.6, respectively. The projected 2020 enrollment was 7.8, 10.8, 20.4, and 13 .6, respectively. Use two pie graphs to present this data and discuss any trends suggested by your graphs.

Studies show that the concentration of PCBs is much higher in malignant breast tissue than in normal breast tissue. If a study of 50 women with breast cancer reveals an average PCB concentration of $22.8 \times 10^{-4} \operatorname{gram},$ with a standard deviation of $4.8 \times 10^{-4} \mathrm{gram},$ is the mean concentration of PCBs less than $24 \times 10^{-4} \text { gram? }$

A basic finding of labor economics is that workers who have more experience in the labor force are paid more than workers who have less experience (holding constant the amount of formal education). Why might this be so? Some studies have also found that experience at the same job (called job tenure) has an extra positive influence on wages. Explain.

State Farm Insurance studies show that in Colorado, 55% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 10 property damage claims involving automobiles are selected at random. What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution?

The director of graduate studies at a large college of business has the objective of predicting the grade point average (GPA) of students in an MBA program. The director begins by using the Graduate Management Admission Test (GMAT) score. A sample of 20 students who have completed two years in the program is selected and stored in GPIGMAT.

Perform a residual analysis on your results and evaluate the regression assumptions.

The shellfish population in a bay is estimated to have a count of about 1,000,000. Studies show that pollution reduces this population by about 2% per year, while other hazards are judged to reduce the population by about 10,000 per year. a. Write a recurrence relation for the shellfish population at the beginning of year n. b. Solve the recurrence relation. c. What is the approximate shellfish population at the beginning of year 10?

Studies have shown that a positive association exists between educational level and annual salary; in other words, people with more education tend to make more money. a. Does this finding mean that more education causes a person to make more money? Explain your answer. b. Do you think there is a causal relationship between educational level and annual salary? Explain your answer.