Answer Happy

The given table shows statistical software output from fitting the least squares regression line. Use this output to evaluate the following hypotheses. Ho : The true coefficient for family income is zero. HA : The true coefficient for family income is not zero. (Intercept) family income Estimate Std. Error t value Pr(>t|) 24.3193 1.2915 18.83 0.0000 -0.0431 0.0108 -3.98 0.0002 df = 48 Given a t-value of -3.98 and a p-value of 0.0002, we would fail to reject the null hypothesis. Given a t-value of -3.98 and a p-value of 0.0002, we would reject the null hypothesis and support that the true coefficient for family income is not zero. Given an SE of 0.0108 and an estimate of the parameter of -0.0431, we would fail to reject the null hypothesis. Given an SE of 1.2915 and an estimate of the parameter of 24.3193, we would fail to reject the null hypothesis Given a t-value of 18.81 and a p-value of 0.0000, we would fail to reject the null hypothesis. Given a t-value of 18.81 and a p-value of 0.0000, we would reject the null hypothesis and support that the true coefficient for family income is not zero.