A researcher finds a correlation of r x y = + 0.40 with a sample of n = 25  bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given  reject the null hypothesis fail to reject the null hypothesis

The given quantities below were calculated from a sample data set. Στο 338 I Lu=308 Ση2 = 4678 2 y = 4236 Determine the least squares regression line. Round values to four decimal places, if necessary. Σry = 3595 n = 30 Determine the correlation coefficient. Round the solution to four decimal places, if necessary.

You run a regression analysis on a bivariate set of data (n=89n=89). You obtain the regression equationy=3.875x+33.509y=3.875x+33.509with a correlation coefficient of r=0.837r=0.837 (which is significant at α=0.01α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 140 on the response variable.What is the predicted explanatory value?x =

The admission office needs your help to evaluate the following hypothesis: Ho: there is not a significant linear relationship between the two sections Against: HA: there is a significant linear relationship between the two sections 1. What is the calculated F statistics? (round to the nearest hundredth) 2. Evaluate the F calculated and indicate if you are going to reject or fail to reject the null hypothesis using an alpha = 0.05 (reject/fail to reject)