report the STANDARD ERROR of the difference in average sales between First Quart

Question

report the STANDARD ERROR of the difference in average sales between First Quarter and Third Quarter

Coefficients: Value Std.Error t-value p-value (Intercept)2438.6465 1.096971 2223.0734 0.0000 poly(Month, 3)1 1990.3960 4.549031 437.5428 0.0000 poly(Month, 3)2 307.8148 4.606802 66.8175 0.0000 poly(Month, 3)3 10.9797 4.668318 2.3520 0.0236 QuarterFourth 35.2939 1. 342034 26.2988 0.0000 QuarterSecond 71.9853 1. 300994 55.3310 0.0000 QuarterThird 107.6869 1.714572 62.8068 0.0000 Correlation: (Intr) p(M,3)1 p(M,3)2 p(M,3)3 QrtrFr QrtrSc poly(Month, 3)1 0.038 poly(Month, 3)2 -0.026 0.000 poly(Month, 3)3 0.050 0.039 0.000 QuarterFourth -0.612 -0.061 0.000 -0.081 QuarterSecond -0.583 -0.0160.068 -0.023 0.159 QuarterThird -0.774 -0.036 0.051 -0.0460.662 0.655 Standardized residuals: Min 01 Med Q3 Max -1.7658850 -0.7598036-0.1546507 0.6998398 2.2887673 Residual standard error: 4.097376 Degrees of freedom: 48 total; 41 residual

Explanation / Answer

From the given output, the STANDARD ERROR of the difference in average sales between First Quarter and Third Quarter is 1.714572 (Standard error of Quarter Third).

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