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 $\alpha = .05$.

Question

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 $\alpha = .05$.

Quizplus · Accepted Answer

The Answer of 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 $\alpha = .05$.

Consider the Following Pairs of Observations x23556y1.31.62.12.22.7\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}xy​21.3​31.6​52.1​52.2​62.7​​

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