Question

rums Calendar Gradebook essment mework Due Tue 05/01/2018 11:59 pnm You run a regression analysis on a bivariate set of data (n 43). You obtain the regression equation y 0.862x + 2.056 with a correlation coefficient of r 0.549 (which is significant at ?-0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 190 on the response variable. What is the predicted explanatory value? x= (Report answer accurate to one decimal place.) License Points possible: 10 Unlimited attempts. Submit

Answer 1

Hypothesis test for significance of correlation (Null Hypothesis) (Alternate Hypothesis, also called H1) Degrees of freedom, df 41 test statistic, tobs 1-T2 Using t-table with df = 41, we can observe that the p-value is less than 0.001 Using excel, we can find that the p - value 0.00013773080.000138 Critical value at a 0.01, teritto 2(0.5490.5490 4 30 n- ะ 4.2058 t0.005.41 2.701 - to/2.df=n-2 (from t-table) Rejection criterion: Reject Ho if tobs terit Decision: Reject Ho as 4.2058>2.701 Hence there is enough evidence to conclude that the linear relation is significant, Linear correlation is Significant We can use regression line Predicted value for 190 is given by regression equation: ý (2.056) + (0.862(190) 165.836 Predicted value: y= 165.8