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?