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(06.06 LC)  A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on the collected data, the least-squares regression line is ŷ = 15.66 + 3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares regression line? (3 points)

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -24 and 1536, respectively. (7 points)

(04.03 MC)  The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent. Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points) Part B: What is the expected number of at-bats until the next home run? (5 points) (10 points)

Find the sum of the geometric sequence. (7 points)

Find the first six terms of the sequence. a1 = -7, an = 4 • an-1 (7 points)  

Find the limit of the function by using direct substitution.(6 points)  

Now take both exercises from the previous questions and list below what you would do to make the exercises improve YOUR OWN muscular strength (what variable would you manipulate).  

Write the sum using summation notation, assuming the suggested pattern continues. 2 – 6 + 18 – 54 + … (7 points)

(04.01 MC)  To increase sales, a cell phone store began giving a free month of service on some cell plan purchases. Customers were unaware whether they would receive the free month until after purchase. The store manager claimed that one in eight customers received the free month. Nine customers each buy a cell phone plan. Let X = the number of customers that receive a free month of cell phone service.Part A: Is X a binomial random variable? Explain. (3 points)Part B: What is the mean and standard deviation of X? Provide an interpretation for each value in context. (4 points)Part C: Three of the nine customers receive a free month of service. Is the store’s claim accurate? Compute P(X ≥ 3) and use the result to justify your answer. (3 points) (10 points)

Find the first six terms of the sequence. a1 = -1, an = 2 • an-1 (7 points)