Читать книгу Introduction to Linear Regression Analysis - Douglas C. Montgomery - Страница 34

The Minitab output in Table 2.3 gives the standard errors of the slope and intercept (called “StDev” in the table) along with the t statistic for testing H₀: β₁ = 0 and H₀: β₀ = 0. Notice that the results shown in this table for the slope essentially agree with the manual calculations in Example 2.3. Like most computer software, Minitab uses the P-value approach to hypothesis testing. The P value for the test for significance of regression is reported as P = 0.000 (this is a rounded value; the actual P value is 1.64 × 10⁻¹⁰). Clearly there is strong evidence that strength is linearly related to the age of the propellant. The test statistic for H₀: β₀ = 0 is reported as t₀ = 59.47 with P = 0.000. One would feel very confident in claiming that the intercept is not zero in this model.