Name:_______________________________________________ End-of-Year Quiz Date:________ Period:_______ Ms. Cronin End-of-Year Take-Home Quiz 1. The table shows the amount of medicine for treating a disease in the bloodstream over the 9 hours following a dose of 10 mg. It seems that the rate of decrease of the drug is approximately proportional to the amount remaining. Time (hrs) Drug Amt (mg) 0 10 1 8.3 2 7.2 3 6.0 4 5.4 5 4.4 6 3.7 7 2.8 8 2.5 a. Find the linear equation of best fit for the given data. Round decimals to three places. b. Find the correlation coefficient “r” correct to 4 decimal places for part a. c. Find the quadratic equation of best fit for the given data. Round to 3 decimals. d. Find the correlation coefficient “r” correct to 4 decimal places for part c. e. Use the values of “r” to determine which equation, linear from part a or quadratic from part c, is a better fit for the given data. f. Use the equation of best fit found in part e to estimate the drug amount to the nearest tenth after 10 hours has passed. 2. Twelve students at St. Francis Prep were asked how many hours during a week they spend on Facebook. There responses are shown below: 5, 6, 12, 7, 5, 4, 7, 13, 9, 12, 12, 11 Determine the mean and standard deviation for this data to the nearest tenth. 3. Write a formula to determine the total number of different 8 letter arrangements that can be formed using the letters in the word INTERNET? 4. What is the third term in the expansion (3 – x)4?