The data below are the final exam scores of 10 randomly selected calculus students and the number of hours they slept the night before the exam. Hours(x)
4
6
3
9
3
5
5
6
7
4
Scores(y)
64
79
59
87
65
77
84
89
89
70

1. Make a scatter plot for these data and determine the direction of the relationship between sleep hours and Scores.
2. Find the correlation coefficient (r) between Hours and Scores.
3. Determine whether there is a significant linear correlation between the two variables.
4. If there is a positive/negative linear correlation,
5. Find the equation of the regression line. and what is the best-predicted score of a student who slept 8 hours?

Information on gerken power co., is shown below. assume the company’s tax rate is 40 percent. debt: 9,400 8.4 percent coupon bonds outstanding, $1,000 par value, 21 years to maturity, selling for 100.5 percent of par; the bonds make semiannual payments. common stock: 219,000 shares outstanding, selling for $83.90 per share; beta is 1.24. preferred stock: 12,900 shares of 5.95 percent preferred stock outstanding, currently selling for $97.10 per share. market: 7.2 percent market risk premium and 5 percent risk-free rate. required: calculate the company's wacc. (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) wacc %

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above

Using a cps-sample of 7,440 individuals, you estimate the following regression: = 20.91 - 2.61 x female where female is a binary variable that takes on the value of 1 for females and is 0 otherwise. the standard error on the coefficient on female is 0.25. the 95% confidence interval for the gender wage gap, or the amount that females earn less, is: a) [-3.10, -2.12] b) [18.30, 23.52] c) [-3.02, -2.20] d) [-1.96, -1.64]