(3) A large corporation is facing a lawsuit alleging that they are engaging in age-discrimination. Specifically, they are accused of promoting younger people at greater rates (and pass- ing over older people for promotion). The following contingency table contains data for people in the company for a one-year timeframe. Under 30 30-39 40-49 50 and over Promoted 16 22 26 15 Not Promoted 38 39 45 38 a. Which variable is the explanatory variable and which is the response variable? b. What percent of Under 30 year olds were promoted? c. What percent of over 50 year olds were promoted? d. Make a conditional disribution by age group (this means to calculate the relative frequencies after separating the data based on the different age groups). e. When you compare the proportion who were promoted across the different age groups, does there appear to be a significant change in the promotion proportions in the different age groups? (let's say that "significant change means more than a 10% difference).

A researcher wants to investigate whether single people who own pets are happier than singles without pets. A mood inventory is administered to a group of 20-29 years old non-pet owners and a similar age group of pet owners. The pet owners are also matched one one one with non-pet owners for income, number of close friends, and general health. The data are as follows: Non-pet owner pet owner 10 15 9 9 11 10 11 19 5 17 9 15  is there a significant difference in the mood scores for non-pet owners and pet owners?

Answer the following question.

A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the раper. Sugar Consumption Depression Rate Country Korea 160 2.4 United States 290 3.1 France 360 4.3 Germany 365 4.9 Canada 380 5.3 New Zealand 470 5.6 n USE SALT (a) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.) r = 0.9428 Interpret the correlation coefficient for this data set. O There is a weak, positive linear relationship between depression rate and sugar consumption. O There is no linear relationship between depression rate and sugar consumption. O There is a strong, negative linear relationship between depression rate and sugar consumption. O There is a weak, negative linear relationship between depression rate and sugar consumption. O There is a strong, positive…

Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.

Apperson and Fitz is a chain of clothing stores that caters to high school and college students. It publishes a quarterly catalog and operates a Web site that features provocatively attired males and females. The Web site is very expensive to maintain, and company executives are not sure whether the number of hits at the site relate to sales (i.e., people may be looking at the site’s pictures only). The Web master has accumulated the following data for hits per month and orders placed at the Web site for the past 20 months: Develop a linear regression model for these data and indicate whether there appears to be a strong relationship between Web site hits and orders. What would be the forecast for orders with 50,000 hits per month?