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.

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Definitions:

Gender Development

The process by which individuals develop a sense of their gender identity, roles, and the social and cultural expectations associated with their gender.

Authoritarian

A governing or leadership style characterized by strong, central control and little personal freedom.

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A term referring to Americans of Asian descent, highlighting the diverse ethnic groups from the Asian continent that contribute to the American population.

Neglectful

A type of behavior or attitude characterized by a lack of attention, care, or concern towards something or someone.