Functional forms involving logarithms The graduate record exam (GRE) is an exam most students must take to apply to graduate schools. Suppose you are interested in studying the effects of time spent studying for the GRE on the score of the math section of the test. You propose the following model: score = beta_ o + beta_1 log (study) where Score = score on the math section of the GRE study time spent studying for the math section of the GRE, in hours Based on the functional form of your simple OLS model, your model would best be classified as a model Suppose you estimate the model using OLS with the following results: score 500+20log(study) Given the functional form of your model, which of the following is true regarding the interpretation of beta_1?

For a 1 percentage increase in hours spent studying, the predicted exam score rises by 0.2 percentage
For a 1 hour increase in time spent studying, the predicted exam score rises by 0.2 percentage.
For a 1 percentage increase in hours spent studying, the predicted exam score rises by 0.2 points.
For a 1 hour increase in time spent studying, the predicted exam score rises by 0.2 points.

answer; private store;

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.