CSC 161 Fall 2019 - Homework 9 (10 pts. total)
Assigned Mon Dec 2, due Mon Dec 9
Answer the following questions in a single Excel file (with multiple sheets/tabs) named hw9-LastName.xls (where LastName is replaced by
your last name):
1. [2 pts.] For f(x) = x3, estimate the definite integral of f(x) with respect to x on the interval [0,2] using the Midpoint Rule & 4 subintervals.
2. [ 1 pt. ] Solve #12 from the January 2019 Algebra 1
Regents (using Regression).
3. [3 pts.] Use the data below, for the raw test score based on the hours tutored, to answer the questions that follow (round all values to the nearest hundredth).
| Hours Tutored | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|
| Raw Test Score |
30 |
37 |
35 |
47 |
56 |
67 |
62 |
|---|
a) Find the linear regression equation.
b) Find the predicted y-values for x = 1 through x = 7.
c) Find the residuals (Actual value - predicted value).
d) Create a residual plot. (When creating the graph, highlight only the 2 columns for x & the residuals.)
4. [2 pts.] A bag contains 6 red marbles & 4 blue marbles. If you pick out 3 marbles, find:
a) P(exactly 2 red marbles)
b) P(at least 2 red marbles)
5. [2 pts.] Given a set of data with mean = 80 and standard deviation = 5:
a) What percent of the data is less than 65?
b) What percent of the data is between 65 and 90?
Last Modified: 12/2/19