1.\tA manager wishes to find out whether there is a relationship between the number of radio ads aired per week and the amount of sales (in thousands of dollars) of a product. The data for the sample are shown below.a.\tDraw the scatter plot for the variables.b.\tCompute the value of the correlation coefficient.c.\tState the hypotheses.d.\tTest the significance of the correlation coefficient at .e.\tGive a brief explanation of the type of relationship.2.\tA store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown belowage x 18 26 39 48 53 58sick days y 16 12 9 5 6 2a.\tDraw the scatter plot for the variables.b.\tCompute the value of the correlation coefficient.c.\tState the hypotheses.d.\tTest the significance of the correlation coefficient at .e.\tGive a brief explanation of the type of relationship.3.\tUsing the number of ads and sales data from question 1:a.\tFind the equation of the regression line.b.\tFind y when x=7ads4.\tUsing the age and sick days data from question 2:a.\tFind the equation of the regression line.b.\tFind y when x = 47 years.Questions 5 and 6: Do a complete regression analysis by performing the steps below.Note: No regression should be done when r is not significant.a.\tDraw a scatter plot.b.\tCompute the correlation coefficient.c.\tState the hypotheses.d.\tTest the hypotheses at .e.\tDetermine the regression line equation (if applicable).f.\tPlot the regression line on the scatter plot (if applicable).g.\tSummarize the results.5.\tThe data below were obtained for the years 1993 through 1998 and indicate the number of fireworks (in millions) used and the related injuries. Predict the number of injuries (provided there is a significant relationship) if 100 million fireworks are used during a given yearNumber of fireworks in use x 67.6 87.1 117 115 118 113Related injuries y 12.100 12.600 12.500 10.900 7.800 70006.\tA researcher wishes to determine whether a person\u00e2\u0080\u0099s age is related to the number of hours he or she jogs per week. The data for the sample are shown below. Predict the number of hours jogged per week (provided there is a significant relationship) for a 50-year-old person.Age x 34 22 48 56 62Hours jogged y 5.5 7 3.5 3 17.\tIf r = 0.15, find the coefficients of determination and nondetermination and explain the meaning of each.8.\tUsing the age and sick days data from question 2, compute the standard error of the estimate.9.\tUsing the age and sick days data from question 2, find the 98% prediction interval when x = 47 years10. A random sample of enrollments from public institutions of higher learning (with enrollments under 10,000) is shown below.West\t Midwest\t Northeast\t south3737\t 5585\t 9264\t 39033706\t 8205\t 4673\t 45392457\t 4170\t 7320\t 26494309\t 5440\t 5401\t 64144103\t 3355\t 6050\t 29355048\t 4412\t 4087\t 71472463\t 5115\t 1579\t 33548739\t 86692431At , test the claim that the mean enrollments are the same in all parts of the country.Perform each of the following steps:a.\tState the hypotheses and identify the claim.b.\tFind the critical value.c.\tCompute the test value.d.\tMake the decision.e.\tSummarize the results.<\/p>\n","protected":false},"excerpt":{"rendered":"
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