CSC 161 Fall 2021 - Homework 4 (10 pts. total)
Assigned Tue Sep 28, due Tue Oct 5
Answer the following questions in a single Excel file (with multiple sheets/tabs) named hw4-LastName.xls (where LastName is replaced by
your last name):
1. [ 1 pt. ] Use the Excel function PI() to find PI to 6 decimal places.
2. [3 pts.] For the function f(x) = cos x:
a) Set up a table of values with 2 columns: x & f(x). For the x-values, use 0, 30π/180, 60π/180, ..., 330π/180, 2π. For the f(x) values, make sure they are accurate to 8 decimal places.
b) Graph y = cos x on [0, 2π].
3. [ 2 pts. ] Solve #12 from the January 2019 Algebra 1
Regents (using Regression).
4. [4 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.)
Last Modified: 9/28/21