A busy candy store is going to replace their current gumball machine with a giant gumball machine. The globe on their current gumball
machine is 22" in diameter and its volume is 5,575 cubic inches.
Compared to what has been ordered, the current gumball machine's
volume is 532 cubic inches less than one-fourth the volume of the
globe of the giant gumball machine.
Use the information given to explore some of the mathematical concepts you have practiced so
far by answering the questions below. The formula for the volume of a sphere is .
1. Rewrite the formula for the volume of a sphere so that it is solved for r. Show all your work.
2. Use your answer to question 1 and the information given in the scenario to develop a plan
that you can use to solve for the volume of the globe on the new, giant gumball machine.
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1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?