Testing for Linear Correlation
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Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05. Determine whether the is sufficient evidence to supporta claim of a linear correlation between the two variables.
CPI and Pizza; The paired values of the consumer pice index and a slice of pizza:
cpi 30.2 48.3 112.3 162.2 191.9 197.8
pizza 0.15 0.35 1.00 1.25 1.75 2.00
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Solution Summary
The solution provides detailed explanation how to perform the hypothesis test for the correlation coefficient.
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Hi there,
Design CPI as x, Pizza as y.
mean of x: µx=(30.2+48.3+112.3+162.2+191.9+197.8)/6=123.7833
Sxx=(30.2-123.7833)^2+(48.3-123.7833)^2+(112.3-123.7833)^2+(162.2-123.7833)^2+(191.9-123.7833)^2+(197.8-123.7833)^2=26181.63
mean of y, ...
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