X Y 1 3 2 7 3 5 4 11     The above table gives…

X Y 1 3 2 7 3 5 4 11     The above table gives you information regarding Y (dependent variable) and X (independent variable). The least squares estimate of b1 equals ______ and the value of residual when Xi = 3 is _______.

You have collected data for the 52 countries and estimated t…

You have collected data for the 52 countries and estimated the following relationship between the change in the unemployment rate from the previous year ( ∆ u r ^ ) and the growth rate of the respective country real GDP (gy). The results are as follows: unemployment reg.png Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval:

A sample of 25 observations on household expenditures for na…

A sample of 25 observations on household expenditures for natural gas and electricity is used to estimate a linear demand function for gas.  The dependent variable (Y) is the quantity of gas consumed (thousand cubic feet), while the independent variable is electricity cost (X), measured in dollars:  Quantity of Gas Consumedi = beta0+ beta1  Electricity Costi + ui  Given β ^ 1 = 2.15 and SE( β ^ 1 ) = 0.6481,  test the hypothesis: H0: beta1 = 1 against H1: beta1  ≠ 1 at the 5% level of significance. The test statistic is [BLANK-1] (You must round your answer to three decimal places).  The critical value is [BLANK-2].  You [BLANK-3] the null hypothesis (choose reject or do not reject).