If the coefficient of χ8 in (aχ2 + 1/bχ )13 is equal to the coefficient of χ–8 in(aχ – 1/bχ2 )13, then a and b will satisfy the relation

1) ab + 1 = 0

2) ab = 1

3) a = 1 – b

4) a+b = – 1  

Age (years) 1 2 4 10 9 8 6 3
Car’s Value ($000) 24 21 15 4 6 7 10 17
a. Compute the Coefficient of correlation. Explain the value
b. Compute the Coefficient of determination. Explain the value
c. Estimate the least square linear equation.

Suppose the coefficients of the cubic polynomialsatisfy the equation

Show that the equationhas a root between 0 and 1.Can you generalize this result for an nth-degree polynomial?

 If f(x)=ax^2+b, f(−1)=−1 and f'(−1)=8, find the coefficients a and b.