2.

A manufacturer recorded the number of defective items (y) produced on a given day by each of ten machine operators and also recorded the average output per hour (x1) for each operator and the time in weeks from the last machine service (x2).

a. What is the least-squares prediction equation?

b. Is there evidence to indicate that both independent variables contribute significantly to the prediction of y? Why or why not?

c. Using the original model, how good is it? Give a quantitative answer and then explain your answer in a way that a non-statistician could understand.

d. Use the prediction equation to predict the number of defective items produced for an operator whose average output per hour is 25 and whose machine was serviced three weeks ago.

PA4-2 Assigning Costs Using Traditional System, Assigning Costs Using Activity Proportions [LO 4-1, 4-3, 4-5, 4-6]

Carlise Corp., which manufactures ceiling fans, currently has two product lines, the Indoor and the Outdoor. Carlise has total overhead of $133,810.

Carlise has identified the following information about its overhead activity cost pools and the two product lines:

Required:
1. Suppose Carlise used a traditional costing system with machine hours as the cost driver. Determine the amount of overhead assigned to each product line. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount.)



2. Calculate the activity proportions for each cost pool in Carlise's ABC system. (Round your answers to 2 decimal places.)

  

3. Calculate the amount of overhead that Carlise will assign to the Indoor line if it uses an ABC system. (Round your intermediate calculations to 2 decimal places and round your final answers to the nearest whole dollar amount.)



4. Determine the amount of overhead Carlise will assign to the Outdoor line if it uses an ABC system. (Round your intermediate calculations to 2 decimal places and round your final answers to the nearest whole dollar amount.)

  

5. Compare the results for a traditional system with an ABC system. Which do you think is more accurate?

You find the following corporate bond quotes. To calculate the number of years until maturity, assume that it is currently January 15, 2016. The bonds have a par value of $2,000. Company (Ticker) Coupon Maturity Last Price Last Yield EST $ Vol (000’s) Xenon, Inc. (XIC) 6.100 Jan 15, 2027 94.253 ?? 57,369 Kenny Corp. (KCC) 7.190 Jan 15, 2026 ?? 5.28 48,948 Williams Co. (WICO) ?? Jan 15, 2033 94.805 6.98 43,809 What price would you expect to pay for the Kenny Corp. bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Price $ What is the bond’s current yield? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Current yield %

ACC 3010 Project 3 Part 1

1 = Derivative of a Constant; 2 = Power Rule; 3 = Product Rule; 4 = Quotient Rule; 5 = Derivative of Exponential Function; 6 = Derivative of Logarithmic Function; 7 = Chain Rule
1. Circle the number(s) indicating the rule(s) used to find the derivative of each function. Then differentiate the function.
(a.) f(x) = ln7 1 2 3 4 5 6 7
(b.) p(y) = y3.7 1 2 3 4 5 6 7
(c.) g(x) = √x2ex 1 2 3 4 5 6 7
(d.) j(z) = 1 z2+1 1 2 3 4 5 6 7
(e.) h(x) = x lnx 1 2 3 4 5 6 7
2. Simplify each function, if possible. All exponents should be positive and factor out common factors. Do not find the derivative

. (a.) f(x) = x−4(x + 6)5

(b.) g(x) = e9x(x−2)2 + 9e9x(x−2)

(c.) h(x) = x x+2

Prove the following by induction: 2 + 4 + 6 + …+ 2n = n(n+1) for all integers n

Show all work

Let ? ∈ {1, 2} and ? ∈ {3, 4} be independent random variables with PMF-s:

?_x(1)= 1/2 ?_x(2)= 1/2 ?_Y(3)= 1/3 ?_Y(4)= 2/3

(a) Write down the joint PMF

(b) Calculate ?(? + ? ≤ 5) and ? (? − ? ≥ 2)

(c) Calculate ?(?? ), ?(?²? ),Calculate E((X²+1)/(Y-2))

(d) Calculate the C??(?, ? ), C??(1 − ?, 3? + 2) and V??(2? − ? )

(e) Calculate C??(??, ?), C??(??, ? + ? ) and V?? (?/Y)

Consider the set of integers A = {1, 2, 3, 4, 5}. Pairs of numbers are constructed where each number of the pair comes from set A. Construct the sampling distribution of sample ranges. Apply the Empirical Rule to this distribution.