restricted RSS rSquared without matrix algebra

please see attachment and please provide clear explanations with you answer

Forecast

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Grunnings produces drills...

Grunnings produces drills. The profits associated with drill production are  = 50Q – Q2, where Q is the number of drills produced. The marginal profits (additional profit for each drill produced) are M = d/dQ = 50 – 2Q. (a) Unregulated, how many drills will Grunnings produce? How much profit will be associated with that level of production? Drill production is not only noisy, but also polluting. The noise affects the immediate neighbors, while the pollution only affects surrounding communities, not the neighbors. The damages (costs) associated with the noise are: DN = Q2/2, with marginal damages MDN = dDN/dQ = Q The damages (costs) associated with the p... click for more

ARIMA model

11.1 Set up a time series, and, hold out a few values at the end, graph the remaining observations. Now, use a formal approach either build an ARIMA model, or employs an exponential smoothing algorithm. Compare the judgmental and quantitative forecasts with the actual outcomes.

Calculating Geometric Mean

Geometric Mean (example question) The prices of five computer stocks increased by 37.2 %, 1,140.0 %, 2.7 %, 842.0% and 0.95 %, respectively since 1990. Compute the geometric mean rate of return for the five stocks. (Hint: First convert percents to decimal equivalent)