Consider the following regression model =0+11+22+ Data for the relevant variables are in this file. Estimate the model using the OLS method. Use a t-test with the critical value method and a significance level of 5% to test 0:1=2 against 1:1<2. Show all your working. Your answer should include the relevant output for the estimated regression model. Also, you should state the null and alternative hypotheses, the significance level, the formula for the test statistic, the PDF of the test statistic under the null hypothesis, the value of the test statistic, the critical value and your conclusion.

Y

1 1.170252 2 3.008442 3 -0.815192 4 0.650881 5 1.955152 6 4.259390 7 0.008938 8 0.678704 9 2.221354 10 0.197367 11 1.170825 12 2.224390 13 3.239824 14 -3.600069 15 3.726104 16 2.189957 17 -0.418241 18 3.317959 19 1.494952 20 3.899396 21 2.248374 22 1.779638 23 1.991143 24 -0.204429 25 0.022070 26 -0.103220 27 0.402591 28 0.215467 29 0.922631 30 2.142016 31 3.132005 32 2.277133 33 2.908932 34 2.800210 35 1.048750 36 3.488853 37 0.400974 38 0.732211 39 -0.504890 40 -2.721750 41 1.094357 42 1.119303 43 0.044783 44 -1.379439 45 0.992724 46 3.029035 47 -0.791045 48 0.889604 49 1.270976 50 2.185754 51 0.766418 52 1.630909 53 2.369535 54 1.617316 55 -0.139518 56 0.981311 57 0.723424 58 4.222444 59 4.006777 60 0.882557 61 1.582878