Consider the Following Pairs of Observations $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

question 92

Essay

Consider the following pairs of observations: $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

a. Construct a scattergram for the data. Does the scattergram suggest that $y$ is positively linearly related to $x$ ?
b. Find the slope of the least squares line for the data and test whether the data provide sufficient evidence that $y$ is positively linearly related to $x$ . Use $\alpha = .05$ .

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Definitions:

Voltage Across

The electrical potential difference between two points in a circuit, driving the flow of current between those points.

Applied Voltage

The external voltage applied across an electrical device or a component within a circuit.

R2

A designation often used in mathematics and statistics for the coefficient of determination, or in electronics to denote a specific resistor in a circuit.

Series Circuit

An electrical circuit in which components are connected along a single path, so the same current flows through all of the components.