Proportionality statements in physics

[123aw]

Homework Statement

A chart has values of Fc (dependant): 10, 15, 20, 25, 30, respectively. The independant variable, F, has values 0.98, 1.07, 1.16, 1.32, 1.50, respectively. These values form a root graph.

Fc is proportional to ⁴√F, this is the proportionality statement allowing me to make the graph linear. The slope of the linear is 3 / 0.02.

How can I derive an equation for the linear using the slope and values I have if the slope is the constant?

Homework Equations

The Attempt at a Solution

my attempt is[/B]
⁴√F × constant (slope)
however it does not work

 

[rickz02]

Have you considered adding y-intercept to your equation? I plotted your data and obtained the linear equation F_c = 177\sqrt[4]{F}-165. Also, I think the slope you have (3/0.02) is too underestimated for your data points.