Use the Following Information to Answer the Questions:
an 11-Member $\quad$

question 22

Essay

Use the following information to answer the Questions:
An 11-member committee must choose one of the four applicants
-K, L, M, and N-for membership on the committee. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Number of }$
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { metnbers }$
$\begin{array}{llcc} & 6 & 2 & 3 \\\text { First choice } & \mathrm{K} & \mathrm{M} & \mathrm{M} \\\text { Second choice } & \mathrm{L} & \mathrm{L} & \mathrm{N} \\\text { Third choice } & \mathrm{N} & \mathrm{K} & \mathrm{L} \\\text { Fourth choice } & \mathrm{M} & \mathrm{N} & \mathrm{K}\end{array}$
-The committee uses the Borda count method. The committee members have preferences among the applicants as given in the table. Suppose the group of six suspects that the group of two intends to insincerely exchange M and L in their rankings. Can the group of six counteract to protect K as the winner?

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Definitions:

Index Model

A statistical model to estimate the returns of a stock based on the returns of a broader market index.

Covariance

A measure of the degree to which two variables move together. In finance, it is used to measure how returns on two assets are related.

Regression Analysis

A statistical method used to examine the relationship between one dependent variable and one or more independent variables.

Slope

In mathematics and economics, the slope represents the rate at which a variable changes in relation to another variable, often depicted as the rise over run on a graph.