Answer :
Final answer:
To complete the task, draw scatter diagrams, compute correlation coefficients, and analyze the effects of multiplying the data set by a nonzero constant on correlation.
Explanation:
To complete parts (a) through (f) for the given data set, follow these steps:
- (a) Draw a scatter diagram by plotting the data points on a graph.
- (b) Compute the linear correlation coefficient (r) using the formula provided.
- (c) Multiply both x and y values by 2 and draw a new scatter diagram of the new data points.
- (d) Compare the new scatter diagram to the original one in terms of correlation.
- (e) Compute the linear correlation coefficient (r) for the new data.
- (f) Conclude the effect of multiplying each value in the data set by a nonzero constant on the correlation.
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