Question

Subject # | Honesty | Satisfaction |

1 | 5 | 9 |

2 | 3 | 2 |

3 | 7 | 10 |

4 | 2 | 6 |

5 | 4 | 4 |

6 | 6 | 7 |

1)Given the data illustrated in the table above, compute the equation for the linear regression line (i.e. y = mx+b) (7--pts)

2)Based on the regression line you computed, what is the likely level of satisfaction if a person were to have an honesty level

a.2.5

b.8?

c.3.5?

Answer #1

We can use here Excel for regression equation

Step 1) Enter data in Excel .

Step 2) Data >>Data analysis >>Regression
>>Select y and x values separately >>Ok

1) Regression equation is ,

y=1.1429x+1.1905

2) Substitute given values of x in regression equation and solve it.

a) For x=2.5 then y= 1.1429(2.5)+1.1905

=4.05

b) For x=8 , then y= 1.1429(8)+1.1905

=10.33

c) For x=3.5 then y= 1.1429(3.5)+1.1905

=5.19

Linear Regression and Correlation.
x
y
3
-3.26
4
2.72
5
1.2
6
1.88
7
0.16
8
-5.66
9
3.02
10
-6.7
11
-3.92
12
-5.34
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places.
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places.
r=
Compute the P-value...

Linear Regression and Correlation.
x
y
3
-10.52
4
1.94
5
-2.7
6
-3.14
7
-9.18
8
-4.82
9
-12.26
10
-11.1
11
-6.44
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places. (Round if necessary)...

You go out and collect data from 6 people and question them as
to how honest they are and how satisfied they are with their
friendships. These are the data that you find:
Subject #
Honesty
Satisfaction
1
5
9
2
3
2
3
7
10
4
2
6
5
4
4
6
6
7
(a) Compute the correlation coefficient ‘r’ describing the
relationship between honesty and friendship.(5---pts)

x
7
0
3
4
3
1
y
6
2
6
5
6
7
Assuming that the regression equation is y = 4.433 + 0.300x and
that the SSE = 12.6333, test to determine if the slope is not equal
to zero using alpha = 0.10
a) Test Statistic T = ______ (round to two decimal places)
b) Critical value(s) = _______, _______ (round to 3 decimal
places)
c) P-value = ______

age (x): 1, 2, 3, 4, 5, 6, 3, 5, 2, 4
Vocab (y) 3, 220, 540, 1100, 2100, 2600, 730, 2200, 260,
1200
Predict the vocabulary of a 3.5 year old using your obtained
regression line

1
2
3
4
5
X
7
20
6
17
20
Y
7
19
11
9
3
The following sample observations were randomly selected:
1. Determine the regression equation. (Negative answers should
be indicated by a minus sign. Do not round intermediate
calculations. Round the final answer to 4 decimal places.)
b= a=
Y'= ------ + ------ X
2. Determine the value of Y' When X is 20. (Do not round
intermediate calculations. Round the final answer to 4 decimal...

X 1 2 5 7 9
y 4 3 3 1 -1
a) Find the value of bo and b1
b) Find the regression equation
c) Interpret the meaning of the Y intercept bo

1. Find the derivatives of each of the following functions:
(a) ?(?)=5?3−7?2−9?+√5 (b)
?(?)=3?-4+6√?
(c) ?(?)=6/?4−7/?3+3/?+1

MEDICATION ‘’A’’:
5
7
4
9
5
7
6
6
9
8
MEDICATION ‘’B’’:
3
2
4
5
4
4
3
5
3
4
The SQRT(1/nA
+ 1/nB) = SQRT
( 1/10 + 1/10) = SQRT (0.2) = __________
The 95% CI is therefore (MA – MB) ± t
α/2 * Sp *
SQRT(1/nA +
1/nB) = ______ ± _____
= _____<M<_____.

Data Set:
x
y
0
4
2
2
2
0
5
-2
6
1
1. Find intercept b0
2. Find slope B1
3. Find the best fitted linear regression equation
4.Graph observations
5.Graph the linear equation on the same plot
6. Find the coefficient of Determination r²
7. Find the linear correlation coefficient r
8.Interpret r (the correlation between x & y)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 10 minutes ago

asked 29 minutes ago

asked 32 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago