4A

If correlation is .5, what is the percent of variance explained

.5^2 (.25)

In simple regression when x and y are standardized . . . a beta will always equal: an intercept will always equal:`

a beta: correlation an intercept: 0

Use "cov_xy" as the symbol for the covariance between x and y and write the formula for a slope.

b1=cov_xy/sd_x^2

in the regression equation what is e

observed y - predicted y

In least squares regression, we calculate an intercept and a slope to minimize something. Write the formula for the thing that gets minimized.

sum(y-yhat)^2

in the regression equation what is b1

the expected increase in y given a one unit increase in x

in the regression equation what is b0

the value for y when x = 0

score on x = 5 score on y = 23 b0=10 b1 = 2 what is e

y = b0 +b1*x +e 23 = 10 +2(5) +e e= 3

score on x = 5 score on y = 23 b_0=10 b_1 = 2 what is y hat

yhat= b0 + b1x yhat = 10 +2(5) yhat = 20