Use the following time-series data to answer the given questions. Time Period Value 1 25 2 31 3 58 4 62 5 59 6 66 7 72 8 86 9 101 10 97 a. Develop forecasts for periods 5 through 10 using 4-month moving averages. b. Develop forecasts for periods 5 through 10 using 4-month weighted moving averages. Weight the most recent month by a factor of 4, the previous month by 2, and the other months by 1. c. Compute the errors of the forecasts in parts (a) and (b) and observe the differences in the errors forecast by the two different techniques. (Round your answers to 3 decimal places.)

Need an explination for this the answers are in the bottom

4. In pea plants, violet flower color is dominant over white flowers. For the following crosses, give the most probable genotype for EACH of the parents. !!! !! ! !

# of Progeny Parents violet! ! white

#1. violet X violet 82 0

#2 violet X violet 118 39

#3 white X white 0 50

#4 violet X white 89 92

and here is the answers :

4. We can let V be the dominant allele for violet, and v be the recessive allele for white.

#1 VV X VV, OR VV X Vv (either one works)

#2 Vv X Vv

#3 vv X vv

#4 Vv X vv

When producing a special bulletproof glass, dots (defects) may occur in the glass. The average number of dots per square centimeter is 0.2 The number of dots per unit area is poisson distributed.

please show calculations

tasks:

a) Determine the expected number of dots per square centimeter.  Round your answer to 2 decimal places.

b) Determine the standard deviation of the number of dots per square centimeter. Round your answer to 2 decimal places.

c) What is the probability that there is a maximum of 1 dot (s) per square centimeter? Round your answer to 4 decimal places

d) What is the probability that there are exactly 2 dot (s) if there is at least 1 dot (s) on one square centimeter? Round your answer to 4 decimal places

e) What is the probability that there are a maximum of 4 dot (s) on 10 square centimeters?  Round your answer to 4 decimal places

f)  What is the probability that there are exactly 7 dots if there are at least 4 dots (10 square centimeters)?  Round your answer to 4 decimal places

A researcherr conductedd a studyy on three differentt dietss to determine the average weightt loss (in pounds) for each diet. At the 0.05 level of significance, can it be concludedd that the average weight loss of all three diets is the same? Show your work to receive credit. (If you run out of space, use another page).

Diet 1 Diet 2 Diet 3

537 742 285 763 46

Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j − 2) − (1/3j + 1)). a) Compute the value of S(1), S(2), S(3), and S(4). b) Make a conjecture that gives a closed form (i.e., not a summation) formula for the value of S(n). c) Use induction to prove your conjecture is correct.

1.Write verilog code for a 8:1 Mux using the blocks of 2:1 Mux; Draw the block diagram for this design and write the truth table to prove that the design works as intended.

2. Write verilog code for a 16:1 Mux using the blocks of 4:1 Mux; Draw the block diagram for this design and write the truth table to prove that the design works as intended.

1 year Treasury rates are 2%, while 2 year Treasury rates are 6%. What is the expected 1 year Treasury rate one year from today?

The production function is f(x₁, x₂) = x₁^1/2 x₂^1/2 . If the price of factor 1 is $12 and the price of factor 2 is $24, in what proportions should the firm use factors 1 and 2 if it wants to maximize profits?
(a) x₁ = x₂

(b) x₁ = 0.50x₂

(c) x₁ = 2x₂

(d) x₁ = 24x₂

(e) We can't tell without knowing the price of output.

For each concept --write a short answer

(1) Explain the concept—what is it? 2 points

(2) Explain its significance—why is it important to understand it? What does it explain? 2 points

(3) Given an example —illustrating the concept in practice. 1 point

Rationality of irrationality                             

Credible signal

Natural experiment   

Informal Institution                                        

Structure

Institutional overhang                           

Alternative explanations

In the synthesis reaction:

2-napthol + NaOH + EtOH + 1-iodobutane --> 2-butoxynaphthalene

what is NaOH used for? EtOH?

In the extraction of benzoic acid, what is CaCl₂ used for? What is the NaHCO₂ used for?

3 grams of mixture + 30 mL of ether + 30 mL of NaHCO₃ + 5 g CaCl₂ à benzoic acid

What would you wash something with to get rid of any amine impurity?