The relationship between the equilibrium constant, \(K_{eq}\), and absolute temperature, \(T\), for the synthesis of sulfur trioxide is investigated:

\[ 2\,\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\,\text{SO}_3\text{(g)} \]

A student measures \(K_{eq}\) at various temperatures and generates the plot of \(\ln K_{eq}\) versus \(1/T\) shown below.

Based on the graph, which of the following claims about the standard enthalpy change of the reaction, \(\Delta H^\circ\), and the effect of increasing temperature on the equilibrium system is correct?