Establishing the properties of materials is an important problem in identifying a suitable substitute for biodegradable materials in the fast$-$food packaging industry. Consider the following data on product density $($g$/$cm$3)$ and thermal conductivity K$-$factor $($W$/$mK$)$ published in Materials Research and Innovation $(1999,$ pp$.28)$

$($d$)$ Find the standard error of the slope and intercept coefficients.