Answer
$ŷ=101.2+5.48x_2+3.054x_3$
There is enough evidence that there is a linear relation between both explanatory variables with calories.
Work Step by Step
Let's remove the explanatory variable protein from the model.
In MINITAB, enter the fat values in C2, the carbohydrates values in C3 and the calories values in C4.
Select Stats -> Regression -> Regression -> Fit Regression Model
Enter C4 in "Responses" and C2 C3 in "Continuous Predictors"
The least-squares regression line will be shown in "Regression Equation", where C4 is $ŷ$ (calories), C2 is $x_2$ (fat) and C3 is $x_3$ (carbohydrates).
$ŷ=101.2+5.48x_2+3.054x_3$
2) $H_0: β_2=0$ versus $H_1: β_2\ne0$
$t_0=3.24$ with a P-value $=0.010\ltα=0.05$. Reject the null hypothesis.
3) $H_0: β_3=0$ versus $H_1: β_3\ne0$
$t_0=6.72$ with a P-value $\lt0.001\ltα=0.05$. Reject the null hypothesis.
