Identify the Formula Used to Calculate the Root Mean Square $\sqrt { \frac { \sum _ { t = 1 } ^ { n } \left| A _ { t } - F _ { t } \right| } { n } }$

question 43

Multiple Choice

Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by At and Ft respectively.

• A)RMSE = \(\sqrt { \frac { \sum _ { t = 1 } ^ { n } \left| A _ { t } - F _ { t } \right| } { n } }\)
• B)RMSE = \(\sqrt { \frac { \sum _ { t = 1 } ^ { n } \sqrt { \left| A _ { t } - F _ { t } \right| } } { n } }\)
• C)RMSE = \(\sqrt { \frac { \sum _ { t = 1 } ^ { n } \left( A _ { t } - F _ { t } \right) ^ { 2 } } { n } }\)
• D)RMSE = \(\sqrt { \frac { \sum _ { t = 1 } ^ { n } \left| \frac { A _ { t } - F +{ t } } { 2 } \right| } { n } }\)

Grasp the concept and execution process of insertion sort with the ability to anticipate the sorted arrangement of lists after a number of iterations.

Comprehend how sequential search functions and determine the number of key comparisons necessary for locating an element.

Understand binary search mechanics, including how to determine the first element for comparison and the total number of comparisons needed to locate or reject an element's presence.

Differentiate between sequential and binary search in terms of efficiency and the scenarios in which each is more appropriate.

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Definitions:

Budget Deficit

Occurs when a government spends more money than it receives in revenue over a specific period of time.

Public Savings

The difference between government revenue and government spending, representing a net saving or borrowing position.

Borrowing

The act of receiving something with the intention to return it or its equivalent, often referring to receiving funds from a lender under the condition of repaying it with interest.

Investing

Allocating resources, usually money, with the expectation of generating an income or profit.