The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars.   Predictor Coefficient SE Coefficient t p-value Constant   7.096     3.245     2.187     0.010   x1   0.222     0.117     1.897     0.000   x2 − 1.024     0.562   − 1.822     0.028   x3 − 0.337     0.192   − 1.755     0.114   x4   0.623     0.263     2.369     0.001   x5 − 0.058     0.029   − 2.000     0.112       Analysis of Variance Source DF SS MS F p-value Regression 5   2,009.28   401.9   7.33   0.000   Residual Error 50   2,741.54   54.83           Total 55   4,750.81                   x1 is the number of architects employed by the company. x2 is the number of engineers employed by the company. x3 is the number of years involved with health care projects. x4 is the number of states in which the firm operates. x5 is the percent of the firm’s work that is health care−related.   c-1. At the 0.05 significance level, state the decision rule to test: H0: β1 = β2 = β3 =β4 = β5 = 0; H1: At least one β is 0. (Round your answer to 2 decimal places.)

The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)

Which of the following is the most appropriate equation to model the data?  ŷ = –10.89x + 0.85  ŷ = –0.85x + 10.89  ŷ = 10.89(0.85)x  ŷ = 0.85(10.89)x

Twenty members of an athletic club are studying the relationship between the time it takes an individual athlete to reach a given level of fatigue during exercise (time to fatigue, measured in minutes) and athletic performance. For each member, time to fatigue and a performance score were recorded. The computer output of the regression analysis is shown in the table. Term CoefCoef SE CoefSE Coef TT Constant 39.88 4.24 9.41 Time to fatigue 3.92 0.71 5.52 Which of the following is a 90 percent confidence interval for the slope of the regression line relating performance score and time to fatigue? Assume that the conditions for inference are met.