Consider the data below. Use them to run a regression and answer questions in th

Question

Consider the data below. Use them to run a regression and answer questions in this homework. The data are homework points for the homework right before a test and test points for a small economics class. Use the students' scores on the homework assignment to try to explain the scores on the test. Note: you can paste or type the data into excel and use excel to do the calculations for you or you can do it by hand.

1-Suppose you add more observations to the regression that you ran (e.g. you add students from another section). Suppose you are conducting a hypothesis test at the .05 level for the null hypothesis that the slope is 0.

True or false: with more observations the critical values get further away from 0.

True

False

2-Suppose you have the regression results below. What is the missing value? Answer to four decimal places. Answer could be negative.

3-Suppose you have the regression results below. What is the test statistic for the null hypothesis that the slope is -1.7? Answer to four decimal places. Answer could be negative.

homework points test points 18.75 180.09 22.5 193.43 22.5 160.08 17.5 66.7 15 113.39 17.5 140.07 12.5 186.76 21.25 180.09 13.75 100.05 15 186.76 22.5 200.1 22.5 200.1 21.25 186.76 23.75 193.43

Explanation / Answer

1. False

2. ???? = -0.7639/0.401 =  -1.90498 = - 1.9050

3. se = (-2.5765) /(-4.6334) = 0.55607 = 0.5561

test statistic = (-2.5765 + 1.7) /0.5561 = -1.576155 = -1.5762

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