Question

Required information Skip to question An article reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the model Elongation = β0 + β1Oxygen + β2Nitrogen + β3Oxygen·Nitrogen Find a 98% confidence interval for the coefficient of Nitrogen. Round the answers to two decimal places.

Answer 1

To find a 98% confidence interval for the coefficient of Nitrogen, you can use the formula β2 ± t(α/2, df) * Standard Error of β2. The confidence interval can be calculated using the Minitab output and the desired confidence level.

Step-by-step explanation:

To find a 98% confidence interval for the coefficient of Nitrogen, we need to reference the Minitab output. The output displays the coefficients β0, β1, β2, and β3 of the model equation Elongation = β0 + β1Oxygen + β2Nitrogen + β3Oxygen·Nitrogen. We are interested in the coefficient of Nitrogen, which is β2. The confidence interval can be calculated using the formula β2 ± t(α/2, df) * Standard Error of β2.

To obtain the Standard Error of β2, we can use the Standard Error column from the Minitab output. The t(α/2, df) value can be determined based on the desired confidence level and the degrees of freedom (df). With these values, we can calculate the confidence interval for the coefficient of Nitrogen.