The research examines if the glucose level varies by comparative physical activity.

Dependent variable: Fasting glucose ($mg/dL$) (glucose)

Independent variable: Comparative physical activity (physact: 1 = much less active 2 = somewhat less active, 3 = about as active, 4 = somewhat more active, 5 = much more active)

After conducting all pairwise tests using the Tukey HSD method and overall significance level 5%, based on the result, please state your conclusion and interpret it in the context of the research question.

Multiple Comparisons of Means: Tukey Contrasts Fit: Im(formula = glucose ~ physact, data = hers, subset = diabetes == 0 ) Linear Hypotheses: Estimate Std. Error t value Pr(>Itl) 2 - 1 == 0 -2.3338 1. 6947 -1.377 0. 62977 3 - 1 == 0 -2.8790 1.5460 -1. 862 0. 32580 4 - 1 == 0 -5.1778 1.5387 -3.365 0. 00658 * * - 1 == 0 -4. 1623 1. 7124 -2.431 0. 10196 3 . 2 == 0 -0.5452 1. 1021 -0.495 0. 98709 4 2 == 0 -2.8440 1. 0917 -2. 605 0. 06607 . 5 0 -1. 8286 1. 3254 -1.380 0. 62814 4 3 == 0 -2. 2988 0. 8428 -2. 728 0. 04769 * 5 3 == 0 -1.2834 1. 1292 -1. 137 0.77762 5 4 == 0 1. 0154 1. 1191 0. 907 0. 88858 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '. ' 0.1 ' ' 1 (Adjusted p values reported -- single-step method)