Compute the Pearson correlation and the values needed to calculate it for the following data.

SS_x = ?

SS_y= ?

SP =  ?

r = ?

Please answer to TWO decimal places.

X     Y

                 2      3

                 3      1

                 6      5

                 4      4

The Regression: Assumption check Write a paragraph for the 4 assumptions check (1. mean of 0; 2. constant variance; 3. independent; 4. normally distributed) and explain why it satisfies or violate the assumptions.

How to do it for a dataset?

Lee Ltd delivers the goods to customers and gives the customers the right to return the product with no reason within 14 days after delivery. 1st May 20X9, goods were sold and delivered to a customer. The price charged was equal to the cost of $200 plus a 20% profit margin. According to the historical data, a significant amount of goods were returned within 14 days after delivery. Please ignore the GST. Required: (Please label your responses as 1), 2).) 1) Entries on 1st May 20X9 (2/4) 2) Entries on 14th May 20X9 if goods were not returned within 14 days after delivery (2/4)

a. Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Beginning of Year Price of Bond

1. 950.90

2. 899.97

3. 877.62

4. 785.26

b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) in percentages

You have collected the following data on the returns of George Aviation (GA) and Aw Under Bins Suction (AUB) over the last 10 years:

Given this information, find the optimal weights of a portfolio that consists of these two securities assuming a minimum acceptable return of 2%. Then, calculate the return on the optimal portfolio, its standard deviation, and its safety-first ratio.

a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Beginning of Year Price of Bond Expected Price

1 $973.40

2 $913.47

3 $862.62

4 $778.66

b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

The cash flows and Net salvage value of Project X is given the following table:

Based on the Economic Life of this project and the cost of capital is 12%, in what year should you abandoning this Project X?

• A. Year 3, since NPV in year 3 = $8,429
• B. Year 3, since NPV in year 3 = $2,629
• C. Year 4, since NPV in year 4 = $2,892
• D. Year 4, since NPV in year 4 = $2,491
• E. Year 1, since NPV in year 1 = $1,24
  

Given the line integral ∫_c F(r) · dr where

F(x, y, z) = [mxy − z³ ,(m − 2)x² ,(1 − m)xz² ]

(a) Find m such that the line integral is path independent;

(b) Find a scalar function f such that F = grad f;

(c) Find the work done in moving a particle from A : (1, 2, −3) to B : (1, −4, 2).