A Sample of 30 Companies Was Randomly Selected for a Study

question 3

Essay

A sample of 30 companies was randomly selected for a study investigating what factors affect the size of company bonuses. Data were collected on the number of employees at the company and whether or not the employees were unionized (1 = yes, 0 = no). Below are the multiple regression results. a. Write out the estimated regression equation.
b. Are all of the independent variables significant in this regression equation (using α = 0 .05)? Explain.
c. Interpret the coefficient of the Union.
d. Based on the scatterplot below, do you think using Union as an indicator variable in this model is appropriate? Explain. e. An alternative multiple regression model is fit to these data and the results are shown below. Which model is better? Explain. f. Using the better model, predict the annual average bonus for a company with 7500 employees that are not unionized.

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Definitions:

Congruence

In therapy, the alignment between a person's internal feelings and their external expressions, considered crucial for authentic and therapeutic communication.

Person-Centered Therapy

A form of psychotherapy developed by Carl Rogers that focuses on providing a supportive environment where clients can enhance their self-understanding and find their own solutions to problems.

Existential Therapies

A group of psychotherapies that focus on exploring the human condition, including themes of freedom, death, isolation, and meaning, to help individuals confront existential crises.

Humanistic Therapies

A category of psychotherapies that focus on self-development, growth, and responsibilities, emphasizing the human capacity for self-direction and understanding.