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:

Hispanic

A term used to describe people, cultures, or countries related to the Spanish language, Hispanic America, Spain, and Spanish heritage or origin.

African American

African American pertains to individuals in the United States who have African ancestry, with cultural, historical, and social distinctions.

Static Time

A concept of time considered unchanging, fixed, and unmoving, often contrasted with dynamic or real-time environments.

Asian American

A term used to describe Americans of Asian descent, highlighting their cultural heritage and identity within the American context.