Covariant scalar field quantization, nicknamed $({\phi }^r{)}_n$, where $r$ denotes the power of the interaction term and $n=s+1$ where $s$ is the spatial dimension and 1 adds time. Models such that $r<2n/(n-2)$ can be treated by canonical quantization, while models such that $r>2n/(n-2)$ are nonrenormalizable, leading to perturbative infinities, or, if treated as a unit, emerge as ‘free theories’. Models such as $r=2n/(n-2)$, e.g., $r=n=4$, again using canonical quantization also become ‘free theories’, which must be considered quantum failures. However, there exists a different approach called affine quantization that promotes a different set of classical variables to become the basic quantum operators and it offers different results, such as models for which $r>2n/(n-2)$, which has recently correctly quantized $({\phi }^{12}{)}_3$. In the present paper we show, with the aid of a Monte Carlo analysis, that one of the special cases where $r=2n/(n-2)$, specifically the case $r=n=4$, can be acceptably quantized using affine quantization.