If the correlation coefficient is 0.654, what is the explained variation? (give answer as a percent)

42.7%

Step-by-step explanation:

Correlation is a statistical measure of inter relationship between two variables' co movement.

Correlation coefficient denotes the direction & extent by which two variables' (same or opposite) movement is linked to each other.

Coefficient of determination = r^2 symbolises percentage of variation in one variable, that can be explained by variation in other variable.

So, in this case r^2 = (0.654)^2 = 0.427716 ; Hence approx 42.7% variation in one variable can be explained by variation in other.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

answer is b

step-by-step explanation: