Question

construct a scatter plot. state if there appears to be a positive correlation, negative correlatior or no correlation. when there is a correlation, find the slope - intercept form of the equation of the line that best fits the data.
4)\

$$\begin{tabular}{c|c}x&y\\hline100&0.2\\hline100&0.3\\hline200&0.3\\hline200&0.4\\hline300&0.4\\hline\\end{tabular}$$

\

$$\begin{tabular}{c|c}x&y\\hline300&0.4\\hline500&0.5\\hline600&0.5\\hline800&0.6\\hline1,000&0.7\\hline\\end{tabular}$$

5)\

$$\begin{tabular}{c|c}x&y\\hline30&4\\hline110&3.6\\hline270&3\\hline280&3.1\\hline\\end{tabular}$$

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$$\begin{tabular}{c|c}x&y\\hline310&3.2\\hline350&2.6\\hline410&2.6\\hline\\end{tabular}$$

\

$$\begin{tabular}{c|c}x&y\\hline580&2\\hline950&0.9\\hline960&0.9\\hline\\end{tabular}$$

6)\

$$\begin{tabular}{c|c}x&y\\hline20&50\\hline30&70\\hline40&20\\hline50&10\\hline\\end{tabular}$$

\

$$\begin{tabular}{c|c}x&y\\hline50&80\\hline50&90\\hline60&10\\hline\\end{tabular}$$

\

$$\begin{tabular}{c|c}x&y\\hline60&50\\hline70&90\\hline90&20\\hline\\end{tabular}$$

Explanation:

Step1: Analyze the scatter - plot

By observing the scatter - plot of the data in problem 6, we check if there is a general trend. A positive correlation would have points rising from left - to - right, a negative correlation would have points falling from left - to - right, and no correlation would have points with no discernible linear trend.

Step2: Determine the type of correlation

In the scatter - plot of problem 6, the points do not form a consistent upward (positive) or downward (negative) linear trend. They are scattered in a way that there is no clear linear relationship between the \(x\) and \(y\) values.

Answer:

No correlation.