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Test Statistic 9F13B6

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Test Statistic 9F13B6


1. **Problem Statement:** We need to compute the test statistic $t_{STAT}$ for the linear relationship between regional gross and worldwide gross. 2. **Formula:** The test statistic for the slope in a simple linear regression is given by: $$t = \frac{b - 0}{SE_b} = \frac{b}{SE_b}$$ where $b$ is the estimated slope and $SE_b$ is the standard error of the slope. 3. **Explanation:** This test statistic measures how many standard errors the estimated slope is away from zero (no relationship). A larger absolute value indicates stronger evidence against the null hypothesis that the slope is zero. 4. **Intermediate Work:** To compute $t$, you need the values of $b$ and $SE_b$ from your regression output. Since these values are not provided, you must obtain them from your data or regression summary. 5. **Final Step:** Once you have $b$ and $SE_b$, calculate: $$t = \frac{b}{SE_b}$$ Round the result to four decimal places as required. If you provide the slope and its standard error, I can compute the exact value for you.