˚F to ˚C. New estimated regression line?

GIVEN:

x=˚F, y= deflection adjustment factor (y≥0)

n=15 ∑x(sub i)=1425 ∑y(sub i)=10.68

∑x²(sub i)=139,037.25 ∑x(sub i)y(sub i)=987.645

∑y²(sub i)=7.8518

QUESTION

c. Suppose temperature were measured in ˚C rather than in ˚F. What would be the estimated regression line?

MY WORKING SOLUTION

I calculated the est. regression line for ˚F and got:

y= 1.377-.00376x.

Do I only do this to get the new regression line:

y=[5/9(1.377-32)] - [5/9(.00376-32)]x?

Thanks,

Yvonne(Thinking)