Hypothesis test for Partial correlation coefficient.
A researcher is interested in determining the partial correlation between age (x) and attitude towards interracial marriage (Y), controlling for place of residence (Rural or Urban) (W). The researcher finds the following correlations: rxy = 0.60; rxw = 0.43; ryw = 0.07, for N = 175. Estimate the partial correlation coefficient and the t ratio. Set α = 0.05. What must the researcher conclude?