Which of the following is a description of the data with a correlation coefficient of 1? a. no correlation b. perfect positive correlation c. high positive correlation d. perfect negative correlation

A correlation coefficient of 1 or +1 means we have perfect positive correlation. Every point on the scatter plot falls on the same straight line. This straight line has some positive slope. By "positive slope", I mean the line moves upward as you read from left to right. The correlation coefficient r is between -1 and 1 (inclusive). If r = -1, then we have perfect negative correlation. If r is closer to 0, then we have little to no linear correlation at all, which would mean the points are randomly scattered about or they might fall closer to a parabola or some other curve.

Choice B) Perfect postive correlation

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

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