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Answer :
Final answer:
A scatter diagram with a correlation coefficient of zero would show a random pattern of data points, indicating no linear relationship or predictability between the two variables.
Explanation:
If the coefficient of correlation between two variables is zero, the scatter diagram would typically show a random distribution of data points. This means that there is no apparent pattern or trend in the relationship between the variables, showing no indication of either a positive correlation or a negative correlation. The data points would be scattered on the plot in such a way that drawing a line of best fit would result in a horizontal line, reflecting a zero slope. This indicates that there is no linear relationship, as there is zero rise over the run. In simpler terms, changes in one variable do not predict or cause changes in the other variable.
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