The number of initial public offerings of stock issued in a 10year period and the total proceeds ofthese offerings (in millions) are shown in the table. Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 584. The equation of the regression line is y = 33.156x+17,114.725. Issues, x 401 453 690 496 487 394 55 55 186 154 :I Proceeds,y 17,878 27,757 43,642 30,251 36,047 37,303 20,721 10,238 31,328 27,751 Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 584. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest million dollars as needed. Type your answer in standard form where "3.12 million\" means 3,120,000.) A. We can be 95% condent that when there are 584 issues, the proceeds will be between $|:| and $ .;_ :- B, There is a 95% chance that the predicted proceeds given 584 issues is between $ and $ The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 48.819x + 18, 198.05. Complete parts a and b. Issues, x 408 457 688 497 498 382 67 57 193 155 Proceeds, 17,637 29,319 44,053 32,213 66,487 67,218 21,743 10,959 30,517 27,916 (a) Find the coefficient of determination and interpret the result. 0 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? O The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. O The coefficient of determination is the fraction of the variation in proceeds that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in issues. (b) Find the standard error of estimate s. and interpret the result. 0 Round to three decimal places as needed.) How can the standard error of estimate be interpreted? O The standard error of estimate of the issues for a specific number of proceeds is about S. million dollars. The standard error of estimate of the proceeds for a specific number of issues is about se million dollars.The following table shows the weights (in pounds) and the number of hours slept in a day by a random sample of infants. Test the claim that M at 0. Use 0: = 0.1. Then interpret the results in the context of the problem. If convenient, use technology to solve the problem. 0 Click the icon to view more information about hypothesis testing for slope. WEI-\"I Identify the null and alternative hypotheses. HA: M=O HA: M950 [2:- c. H0:M=0 [2:- D. HO:M20 HA: M0 HA: M5450 Calculate the test statistic. so (Round to three decimal places as needed.) Calculate the P-value P = 0 (Round to four decimal places as needed.) State the conclusion. Reject H0. There is insufficient evidence at the 10% level of signicance to support the claim that there is a linear relationship between weight and number of hours slept. An exponential equation is a nonlinear regression equation of the form y = abx. Use technology to find and graph the exponential equation for the accompanying data, which shows the number of bacteria present after a certain number of hours. Include the original data in the graph. Note that this model can also be found by solving the equation log y = mx + b for y. g Click the icon to view the table of numbers of hours and bacteria. The equation of the regression curve is = ID [ 0 )x (Round to two decimal places as needed.) Choose the correct graph below. Hours Hours Hours Time and Bacteria Count Number of Number of hours, )1: bacteria, y 1 163 281 468 777 1308 1915 4905 -m Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height,> 774 625 52 508 497 477 (a) x = 501 feet (b) x = 651 feet Stories, y 51 47 45 42 38 35 (c) x = 810 feet (d) x = 733 feet Find the regression equation. y = fx + f) Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. O B. O c. OD. 60- 60- Q 60- 60- Q Stories Stories Stories Stories o-+ 800 800 800 800 Height ( feet ) Height ( feet ) Height ( feet ) Height (feet) (a) Predict the value of y for x = 501. Choose the correct answer below. O A. 47 O B. 40 O C. 50 O D. not meaningful (b) Predict the value of y for x = 651. Choose the correct answer below. O A. 54 O B. 47 O C. 40 O D. not meaningful (c) Predict the value of y for x = 810. Choose the correct answer below. O A. 54 O B. 50 O C. 47 O D. not meaningful (d) Predict the value of y for x = 733. Choose the correct answer below. O A. 40 O B. 54 O C. 50