Given Below Are Five Observations Collected in a Regression Study $\begin{array} { l }x&y\\10&7\\20&5\\30&4\\40&2\\50&1\end{array}$

question 129

Essay

Given below are five observations collected in a regression study on two variables x independent variable) and y dependent variable).
$\begin{array} { l }x&y\\10&7\\20&5\\30&4\\40&2\\50&1\end{array}$

a. Develop the least squares estimated regression equation
b. At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
c. Perform an F test to determine whether or not the model is significant. Let α = 0.05.
d. Compute the coefficient of determination.
e. Compute the coefficient of correlation.

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Definitions:

Phenotype

The set of observable characteristics or traits of an organism, resulting from the interaction of its genotype with the environment.

Extra Chromosome

An additional chromosome in the genetic makeup of an individual, which can lead to various developmental and physical disorders.

Down Syndrome

A genetic disorder caused by the presence of an extra 21st chromosome, leading to developmental and physical changes.

Turner Syndrome

A chromosomal disorder affecting females, characterized by the partial or complete absence of one X chromosome, leading to various developmental issues.