Perform Statistical Inference for Multiple Regression $$S = 1.49746 \quad \mathrm { R } - \mathrm { Sq } = 79.6 \% \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } \mathrm { j } ) = 78.3 \%$$

question 7

Multiple Choice

Perform statistical inference for multiple regression.
-In determining the best companies to work for, a number of variables are considered,
Including size, average annual pay, and turnover rate, etc. Employee surveys are often
Conducted in order to assess aspects of the organization's culture, such as trust and
Openness to change. A sample of 33 companies was randomly selected and data
Collected on the average annual bonus and turnover rate (%) . A questionnaire was also
Administered to the employees of each company to arrive at a trust index (measured on a
Scale of 0 - 100) . Based on the output shown below, the correct interpretation of the
Regression coefficient associated with Average Bonus is Dependent Variable is Turnover Rate
$\begin{array} { l r r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 12.1005 & 0.7826 & 15.46 & 0.000 \\ \text { Trust Index } & - 0.07149 & 0.01966 & - 3.64 & 0.001 \\ \text { Average Bonus } & - 0.0007216 & 0.0001481 & - 4.87 & 0.000 \end{array}$
$$S = 1.49746 \quad \mathrm { R } - \mathrm { Sq } = 79.6 \% \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } \mathrm { j } ) = 78.3 \%$$

• A) Holding the trust index constant, increasing the average annual bonus by $100 will decrease the turnover rate by 7.15%.
• B) For companies that have the same score on the trust index, increasing the average annual bonus by $100 is associated with a decrease in turnover rate of 7.15%, on average.
• C) For companies that have the same score on the trust index, increasing the average annual bonus by $100 is associated with an increase in turnover rate of 7.15%, on
• Average.
• D) An increase of $100 in the average annual bonus decreases the turnover rate by 7.15%.
• E) None of the above.

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Definitions:

Women Designers

Female individuals engaged in the creation and design of products, fashion, graphics, interiors, or architecture, contributing unique perspectives in their fields.

Marketing Executives

Managers responsible for directing and developing strategies to promote and sell a company's products or services, aiming to increase market share and revenue.

Engineers

Professionals who apply scientific knowledge, mathematics, and ingenuity to develop solutions for technical, societal, and commercial problems.

Consumer Purchase Decision

The process by which consumers decide whether to purchase a product or service, influenced by various internal and external factors.