6. (15%) Sketch the graph of the function f(x) = (x^2 - 9)/(x^2 + 1). (1/√3 ≈ 0.58) (identify relative extrema, inflection points, concavity, and asymptotes if any)

II、計算問答題(每大題 10 分，共 20 分。) 1. Mary has T = 40 observations on variables y, $x_1$, and $x_2$. She estimates the following equations by least squares: Residual sum of squares (SSR)=140, $R^2 = 0.8$ where the numbers in parentheses are standard errors. What is the true value of SST in equation (1)? What is the value of $s^2$ (estimated error variance.)?

6. (15%) Sketch the graph of the function $f(x) = \frac{x^2 - 9}{x^2 + 1}$. ($1/\sqrt{3} \approx 0.58$) (identify relative extrema, inflection points, concavity, and asymptotes if any)

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