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QNT 561 Week 5 Individual Mystatslab Problem Set 1. Consider the pairs of measurements shown to the right. 2. Researchers investigated the effect of tablet surface area to volume on the rate at which a drug is released in a controlled-release dosage. For six similarly shaped tablets with different weights and thicknesses, the diffusional drug release rate (percentage of drug released divided by the square root of time) was determined. The experimental data are listed in the table. Complete parts a through d. 3. Many entrepreneurs have donated money to various causes. Data on the total amount pledged and remaining net worth for the 10 top donors are given in the table. Complete parts a through d. 4. Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values in the sample. 5. Construct a scttergram for each data set. Then calculate r and r 2 for each data set. Interpret their values. Complete parts a through d. 6. A university conducted a study on 446 business graduates who had all completed the same business course. The study used correlation coefficients to investigate the relationship between many different business skills. Two of the many variables measured were self-knowledge skill level (x) and goalsetting ability (y). The correlation was r = 0.82. Complete parts a through c below. 7. Studies of managers from two countries in the 1970s found differences of opinion toward quality management. To find out if these differences continue to exist, researchers surveyed 100 managers in each country in the electronics manufacturing industry. The accompanying table gives the percentages of managers from each country who agree with each of 10 randomly selected statements regarding quality. Complete parts a through c. 8. Suppose a statistication built a multiple regression model for predicting the total number of runs scored by a baseball team during a season.Use the β estimates to predict the number of runs scored by a team with 303 walks, 856 singles, 263 doubles, 37 triples, and 124 home runs. 9. Consider fitting the multiple regression model, E(y), below. A matrix of correlations for all pairs of independent variables on the right. Do you detect a multicollinearity problem? 10. Identify the problem(s) in the residual plots shown below. 11. Researchers conducted a survey of a representative sample of over 1,000 drivers. Based on how often each driver engaged in road rage behaviour, a road rage score was given. The driver were also grouped by animal income. The data were subjected to an analysis of variance, with the results summarized in the table. 12. What conditions must n satisfy to make the x2 test valid? 13. There has been a recent trend for sports franchises in baseball, football, basketball, and hockey to build new stadiums and ballsparks in urban, downtown venues. A magazine investigated whether there has been a significanr suburban-to-urban shift in the location of major sport facilities. In 1985 40% of all major sports facilities were located downtown, 30%in central city, and 30% in suburban areas. In contrast, of the 122 major sports franchises that existed in 1997, 65 were built downtown 28 in a central city, and 29 in a suburban area. Complete parts a through e.