In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.
The given regression equation is
y^=0.06x+14.2
The predicted value of y can be computed by simply putting the value of x in above equation.
So,
y^=0.06(352)+14.2
y^=21.12+14.2
y^=35.32
Thus, the predicted value of y for x=352 is 35.32.