A scientist is interested in investigated the relationship between Time and the Amount of Bacteria for the scatterplot shown below.

Scatterplot of Bacteria vs Hours

a. Describe the scatterplot above.

b. Sketch and describe in a sentence or two how the residual plot might look for this data.

c. Use your answers from a, and b. above to describe the type of transformation needed to make this form appear

linear. Explain how you arrived at your solution.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)