Question

Use inductive reasoning to predict the next line in the sequence of computations. Use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.

3=1x3

3+7=2x5

3+7+11=3x7

Answer #1

The expressions on the left hand side are 3, 3+7, 3+7+11 ,… It may be observed that 7-3 = 4 and 11-7 = 4. Hence the next expressions on the left hand side should be 3+7+11+15, 3+7+11+15+19 and so on.

The expressions on the right hand side are1x3, 2x5, 3x7,… It may be observed that 1,2,3,.. are the natural numbers and 3,5,7,.. is anarithmetic series beginning with 3 and with a common f=difference 2. Hence the next expressions on the left hand side should be 4x9, 5x11 etc.

Thus, 3=1x3

3+7=2x5

3+7+11=3x7

3+7+11+15 = 4x9

3+7+11+15+19 =5x11

etc.

Use
inductive reasoning to predict the next line in the
pattern.
55times×22equals=1010
66times×22equals=1212
77times×22equals=1414
88times×22equals=1616
The
next line is
nothingtimes
×
nothingequals=
nothing.

4.
Use the “zero” utility of your calculator to determine the zeros of
f(x) = x^2 + 5x - 10 (round to the nearest tenth if necessary).
5. What are the zeros of the polynomial f(x) = x^4 (x-2)^2
(x+1)? Tel whether each zero is odd or even.
7. Use synthetic division to determine if k = -3 is a zero of
f(x) = 2x^3 + 13x ^2 + 30x + 25. Give the answer as “yes” or “no”.
Show...

Based on the data shown below, use your graphing calculator or
Excel to calculate the regression line (each value to two decimal
places)
y = x +
x
y
1
27.98
2
26.51
3
27.44
4
25.97
5
21.8
6
23.53
7
22.56
8
18.19
9
18.72
10
16.15
11
15.68
12
11.71
13
10.84
14
9.47
15
9.6

Use this information for questions 7 - 11. A researcher desires
to know if the age of a child is related to the number of cavities
he or she has. Fill out at a minimum the sums of each of the
columns, then answer the questions. (If you have a TI-84, try
entering x into L1, y into L2, then do STAT -- CALC -- 2 Var Stats
to get the sums.)
Age of child, x
6
8
9
10...

Find the linear regression line for the following table of
values. You will need to use a calculator, spreadsheet, or
statistical software. Enter your answer in the form y=mx+b, with m
and b both rounded to two decimal places. x y 3 6.03 4 9.65 5 11.49
6 11.57 7 12.96 8 14.97 9 16.31 10 17.43 11 18.55
statistics

USE CALCULATOR AND SHOW FULL STEPS FOR EACH TEST INCLUDING WHAT
YOU INPUT Below are random samples of enrollments for medical
schools that specialize in research and for those that specialize
in primary care. Is there a difference in the average enrollment
for the two specializations? Use a significance level of a =
0.05.
a) Give the name of the hypothesis test that would be
appropriate for this situation. (1 point)
b) State the hypotheses in symbols. (2 points)
c)...

Find the linear regression line for the following table of
values. You will need to use a calculator, spreadsheet, or
statistical software.
Enter your answer in the form y=mx+b, with m and b both rounded
to two decimal places.
x
y
3
6.03
4
9.65
5
11.49
6
11.57
7
12.96
8
14.97
9
16.31
10
17.43
11
18.55
Provide your answer below:

Problem 3-5
Characteristic Line and Security Market Line
You are given the following set of data:
HISTORICAL RATES OF RETURN
Year
NYSE
Stock
X
1
- 26.5%
- 18.0%
2
37.2
18.0
3
23.8
18.5
4
- 7.2
2.0
5
6.6
11.4
6
20.5
15.9
7
30.6
16.0
Use a spreadsheet (or a calculator with a linear regression
function) to determine Stock X's beta coefficient. Round your
answer to two decimal places.
Beta =
Determine the arithmetic average rates of...

Homework to be checked and reviewed for correctness.
The following data was collected for linear regression analysis.
Becky wants to use shoe size to predict a person's GPA.
Shoe Size
6
11
5
10
8
9
12
6.5
7.5
GPA
2.1
2.9
4
3
1.5
2.4
3.5
1.98
3.88
A. Find r, using your calculator.
B) Do a hypothesis test on whether there is
significant linear correlation? a = 0.01 When you
find the test statistic, find it by hand...

Use the classroom dataset. A researcher wants to be able to use
shoe size to predict height.
Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5,
11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6
Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65,
72, 64, 65, 66, 61, 67, 64, 65, 60, 64
A) what variable is the response variable and which is the
predictor variable?
B)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 14 minutes ago

asked 36 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago