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Social ScienceEach of the following graphs show the relationship between two variables. Determine the Pearson product-momentcorrelation coefficient (r) for each graph.1225-10-n20-8-6-15-410-2-5-002001020VariableVariableAnswer Bankr0.0r0.8r0.4r 0.9930-r0,9oo 0.8-20-0.6-0.4-10-0.205100150.20.40.60.810VariableVariableVariable 3Variable 6Variable 8Variable 5 30-3025-25-20-20-15-15-10-10-5-5101551015VariableVariable8-2-0510152025VariableVariable 2Variable 7Variable 4
Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph.
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Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph. 12 25- 10- n20- 8- 6- 15- 4 10- 2- 5- 0 0 20 0 10 20 Variable Variable Answer Bank r0.0 r0.8 r0.4 r 0.99 30- r0,9 oo 0.8- 20- 0.6- 0.4- 10- 0.2 0 5 10 0 15 0.2 0.4 0.6 0.8 10 Variable Variable Variable 3 Variable 6 Variable 8 Variable 5
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30- 30 25- 25- 20- 20- 15- 15- 10- 10- 5- 5 10 15 5 10 15 Variable Variable 8- 2- 0 5 10 15 20 25 Variable Variable 2 Variable 7 Variable 4
Expert Answer
Scatter plot for variable 1 Vs variable 6:
There exists no linear relationship between the variables 1 and 6 because all data points are distributed scatterly. That is, there is no correlation. Hence, the value of r is 0.
Scatter plot for variable 1 Vs variable 5:
There exists a negative linear relationship between the variables 1 and 5 because all data points are lies in the negative direction and forms a straight line towards downside. That is, there is highly negative correlation. Hence, the value of r is -0.9.
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