Q3 - Returns on stocks X and Y are listed below: Period    1    2    3    4    5    6    7 Stock X    5%    6%    -2%    -4%    6%    10%    7% Stock Y    1%    -3%    6%    3%    12%    7%    -5% Consider a portfolio of 40% stock X and 60% stock Y. What is the (population) variance of portfolio returns? Please round your answer to six decimal places.

Q5B The table below contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013).  Table:  Data of House Value versus Rental Value Rental Value Rental Value Rental Value Rental 81000 6656 77000 4576 75000 7280 67500 6864 95000 7904 94000 8736 90000 6240 85000 7072 121000 12064 115000 7904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9568 140000 9152 135000 7488 165000 13312 165000 8528 155000 7488 148000 8320 178000 11856 174000 10400 170000 9568 170000 12688 200000 12272 200000 10608 194000 11232 190000 8320 214000 8528 208000 10400 200000 10400 200000 8320 240000 10192 240000 12064 240000 11648 225000 12480 289000 11648 270000 12896 262000 10192 244500 11232…

2. Chloe compares the growth of plant species A and B. Plant AH Plant BH ++++++ HHH 0 1 2 3 4 5 6 7 8. Growth (centimeters) Part A What do the box plots tell you about the growth of a typical plant of each species? Explain. Part B What do the box plots tell you about the variability of the data?

The following time series shows the sales of supermarket chain over the last six months.  Month Sales ($ 000) August 2021 250 Sep 2021 280 Oct 2021 295 Nov 2021 320 Dec 2021 380 Jan 2022 360   Develop a linear trend equation that can be used to forecast sales in Feb 2022. Forecast the sales in Feb 2021 using a three-period weighted moving average designed with the following weights: Nov 2021 weight 0.6, Dec 2021 weight 0.3 and Jan 2022 weight 0.1. Which method (A or B) is the best? Explain why.