Answer :
Final answer:
A scatter diagram is a graphical representation where each data point is represented by dots across axes. A positive linear relationship shows data points in an upward trend, a negative one in a downward trend, and no relationship shows random distribution of data points. If data is insufficient for plotting, then it's considered as incomplete information.
Explanation:
To begin, let's understand the basic elements of a scatter diagram. A scatter plot is a diagram where each value in the data set is represented by a dot, with the value on one variable determining the position on the horizontal axis and the value on the other determining the position on the vertical axis.
Now, as per your request, I'll describe each of the possible relationships as explained in Figures 12.10 and 1.28. (a) A Positive Linear Relationship is depicted when the dots assemble in an upward trend. As the x-coordinate increases, the y-coordinate also increases implying that the larger 'x' gets, the larger 'y' becomes. This indicates a positive correlation, 0 < r < 1 as stated in your question. (B) A Negative Linear Relationship shows a downward trend in the dots. As the x-coordinate increases, the y-coordinate diminishes indicating that the larger 'x' becomes, the smaller 'y' becomes. This represents a negative correlation, -1 No Linear Relationship is shown where the dots on the graph are randomly scattered and do not seem to have any specific pattern. This demonstrates zero correlation, r = 0.
Last but not least, if the information provided is insufficient to draw a scatter diagram, then the answer would be (d) Incomplete Information.
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