8. Some researchers state that safety on bridges is related to the difference between the width of the bridge and the width of the roadway approach. The following table shows the number of accidents (Accident) and the related differences between bridge and roadway widths in feet (Width) collected in one year. Width - 6 - 4 -2 0 2 4 16 8 10 12 Accident 120 103 87 72 58 44 31 20 12 17 a. Does the scatterplot relating the number of accidents to the differences between bridge and roadway widths indicate that you should proceed with a linear regression analysis? WHY? b. Find the equation for the regression line. c. Find the correlation coefficient. d. Find the coefficient of determination. . Interpret and explain the relevancy or lack of relevancy of the y-intercept in terms of this problem. f. Interpret the slope in terms of this problem. g. Is the correlation coefficient consistent with the scatterplot and the value of the slope of your regression line ? PLEASE EXPLAIN. h. Explain the meaning of the coefficient of determination in terms of this problem. If the difference between the Tappan Zee bridge and the approaching roadway is 3 feet, how many accidents would you predict on the bridge? If the difference between the Bear Mountain bridge and the approaching roadway is -8 feet, how many accidents would you predict on the bridge? 9. On average, do males outperform females in mathematics? To answer this question, psychologists compared the scores of male and female eighth-grade students who took a basic skills mathematics achievement test. One form of the test consisted of 68 multiple-choice questions. In a sample of 1764 male students, the mean score was 48.9 with a standard deviation of 12.96. In a sample of 1739 female students, the mean score was 48.4 with a standard deviation of 11.85. a. Construct a 90%% confidence interval to estimate the true difference in mean test scores between males and females. b. At the 10% significance level, do the data indicate that males outperform females in mathematics? 10. A company would like to market a new antacid formula. The company's old antacid formula provided relief for 70% of the people who used it. The company intends to test the new formula on a sample of 100 people. The company provides the antacid formula to 100 people. 73% of the people in the sample found that the new formula provided relief. At the 10% significance level, should the company market the new formula? 1 1. In a study of 500 camcorders, it is found that 125 of the camcorders needed repairs within five years of purchase. Construct a 95% confidence interval for the true proportion of camcorders needing repair within five years of purchase