Answer:
b = r(sy/sx)
Step-by-step explanation:
The sign of the slope Coefficient and the correlation are the same because both the slope and correlation Coefficient evaluates the changes in one variable with respect to the other . A decrease in y as x increases will result in a negative slope value and also a negative correlation Coefficient. While increase in x which results in the increase in y imvariable will result in a positive correlation Coefficient value and r value.
Slope, b = correlation Coefficient,r (Sy /Sx)
Sx = standard deviation of x values
Sy = standard deviation of Y Values
2 is the only number (other than 1, but in most cases 1 does not count) that goes into both 48 and 46.
48 / 2 = 24
46 / 2 = 23
Because of the fact that 48 and 46 are only two numbers apart, it would be impossible for any number greater than two to divide evenly into both.
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
