The following table represents math and verbal SAT scores for six freshman. Verbal (x) 428 386 653 316 438 323
Math (y) 373 571 686 319 607 440

Required:
a. Compute the mean ¯x and the standard deviation sx for the verbal scores.
b. Compute the mean ¯y and the standard deviation sy for the math scores.
c. Compute the correlation coefficient between math and verbal SAT score and interpret what it means.
d. Compute the coefficient of determination and interpret what it means.
e. Compute the least-squares regression line for predicting math score from verbal score

a

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

=

x=0.8898305 is the answer to that equation

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45