Answer
$ŷ=-11.9+9.076x_1+4.468x_2+1.49x_3+3.520x_4$
Work Step by Step
In MINITAB, enter the fat values in C1, the protein values in C2, the sugar values in C3, the carbohydrates values in C4 and the calories values in C5.
Select Stats -> Regression -> Regression -> Fit Regression Model
Enter C5 in "Responses" and C1 C2 C3 C4 in "Continuous Predictors"
The least-squares regression line will be shown in "Regression Equation", where C5 is $ŷ$ (calories), C1 is $x_1$ (fat), C2 is $x_2$ (protein), C3 is $x_3$ (sugars) and C4 is $x_4$ (carbs).
$ŷ=-11.9+9.076x_1+4.468x_2+1.49x_3+3.520x_4$