Question

construct a scatter plot. state if there appears to be a positive correlation, negative correlation, 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)
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$$\begin{tabular}{c|c}x&y\\hline100&0.2\\hline100&0.3\\hline200&0.3\\hline200&0.4\\hline300&0.4\\end{tabular}$$

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

5)
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$$\begin{tabular}{c|c}x&y\\hline30&4\\hline110&3.6\\hline270&3\\hline280&3.1\\end{tabular}$$

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

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

6)
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$$\begin{tabular}{c|c}x&y\\hline20&50\\hline30&70\\hline40&20\\hline50&10\\end{tabular}$$

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

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

Explanation:

Step1: Analyze the scatter - plot

Looking at the scatter - plot for problem 6, the points are scattered randomly. There is no clear upward (positive) or downward (negative) trend.

Step2: Determine the correlation type

Since there is no pattern (neither positive nor negative) in the way the points are distributed, we can conclude about the correlation type.

Answer:

No correlation.