First solve for theta in 'x' equation:

Substitute into 'y' equation:

Simplify by rewriting cos in terms of sine.
Using pythagorean identity:


Simplify using inverse function property:

Answer:

Step-by-step explanation:
Given
Regression Equation:

Required
Determine the slope of the regression line
The equation of regression is of the form

Where b represents the slope;
Compare
to the given equation

We have that:




Hence; the slope is:

Let n be one side of the square wood block. Then:
n²=872
n=√872=approx. 30" per side
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Answer:
Yes, they're proportional and the constant of proportionality is 7.7.
Step-by-step explanation:
They are proportional because 46.2÷6=7.7 and 107.8÷14 also equals 7.7. This also means that 7.7 is the constant of proportionality.