Shown Below Is a Portion of a Computer Output for a Regression

question 19

Essay

Shown below is a portion of a computer output for a regression analysis relating x (independent variable) and y (dependent variable). $$\begin{array}{l}\text { ANOVA }\\\begin{array} { l c l } & d f & S S \\\text { Regression } & 1 & 115.064 \\\text { Residual } & 13 & 82.936 \\\text { Total } & & \\& \text { Coefficients } & \text { Standard Error } \\\text { Intercept } & 15.532 & 1.457 \\\mathrm { x } & - 1.106 & 0.261\end{array}\end{array}$$ ​
a.
Perform a t test using the p-value approach and determine whether or not x and y are related. Let α = .05.
b.
Using the p-value approach, perform an F test and determine whether or not x and y are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.

---

Definitions:

Information and Decision Making

The process of gathering, analyzing, and using information to make choices or solve problems.

Organic System

A concept in management and organizational theory describing organizations that are flexible, adaptive, and less formal in structure, often in response to a changing environment.

Department

A specialized division within an organization that focuses on a specific area of work.

Bureaucracy

A structured organization characterized by a hierarchy of authority, complex rules, and a focus on procedure and administrative tasks.