Consider the Data Set Shown in the Table $\begin{array}{|ll|}\underline {X}& \underline{Y}\\2 & 8 \\5 & 5 \\6 & 1 \\8 & 4 \\9 & 7\end{array}$

question 20

Essay

Consider the data set shown in the table.
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$\begin{array}{|ll|}\underline {X}& \underline{Y}\\2 & 8 \\5 & 5 \\6 & 1 \\8 & 4 \\9 & 7\end{array}$ ​
(a) Make a graph of the data points.
(b) Calculate the slope and Y-intercept.
(c) Plot the linear least squares line on your graph.
(d) Make a second graph showing the residuals.
(e) Calculate the t-value for a significance test of the slope of your linear least squares line.
(f) Using your results from (e), make a statement about the significance of the relationship between the X and Y values.

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Definitions:

Search Warrant

An official court order authorizing law enforcement agencies to conduct a search of a place and seize evidence.

Fourth Amendment

Part of the United States Constitution that protects individuals against unreasonable searches and seizures by the government, requiring warrants to be judicially sanctioned and supported by probable cause.

Fifth Amendment

A provision in the U.S. Constitution that protects against self-incrimination, ensures due process, and prohibits double jeopardy and eminent domain without just compensation.

Sixth Amendment

An amendment to the U.S. Constitution guaranteeing rights to a fair trial for criminal defendants, including the right to a speedy trial, an impartial jury, and legal counsel.