Using the data in gpa2.csv, we obtain the following equation for predicting college gpa: colgpa \ =1.493 (.075) + .00149 (.7) sat − .01386 (.00056) hsperc − .06088 (.01650) hsize + .00546 (.00227) hsize2 n = 4, 137, r2 = .278, r¯2 = .277, σˆ = .560. (a) what is the predicted college gpa when sat = 1, 200, hsperc = 30 and hsize = 5 (which means 500)? (b) obtain a 95% confidence interval for the prediction above. (you may need to change the original model to run a new regression.)

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent