econometrics (Page 363)

# econometrics (Page 363)

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CHAPTER FIVE: TWO VARIABLE REGRESSION: INTERVAL ESTIMATION AND HYPOTHESIS TESTING 131 Density f(t) t Critical region 2.5% t= 5.86 lies in this critical region 2.5% –2.306 0 +2.306 95% Region of acceptance FIGURE 5.4 The 95% confidence interval for t(8 df). which clearly lies in the critical region of Figure 5.4. The conclusion remains the same; namely, we rejectH0. Notice that if the estimated β2(=ˆ β2)is equal to the hypothesized β2, the t value in (5.7.4) will be zero. However, as the estimated β2 value

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