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11. Correlation

Hypothesis Tests for Correlation Coefficient Using TI-84

11. Correlation

Hypothesis Tests for Correlation Coefficient Using TI-84

Multiple Choice
In a TI-84 correlation test (LinRegTTest), what does it mean for the correlation between $x$ and $y$ to be statistically significant at $α$ (e.g., $α = 0.05$ )?
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Multiple Choice
In a two-tailed hypothesis test for a population correlation coefficient using a TI-84, you have $n = 15$ paired observations and significance level $α = 0.05$ . What is the correct way to obtain the critical value(s) of the correlation coefficient $r$ (the cutoff values for rejecting $H_{0} : ρ = 0$ ) on a TI-84?
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Multiple Choice
An economist wonders if the inflation rate is linearly correlated with the unemployment rate and is looking to use the results of their analysis for further study. They take a random sample of recent months and record the unemployment rate and inflation rate. They find $r equals 0.23$ and run a hypothesis test, getting a $P - v a l u e$ of $0.35$ . Interpret the value of $r$ and results of the test.
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