Question
In: Statistics and Probability
Consider the following set of ordered pairs. Complete parts a through c. x 1 1 3...
Consider the following set of ordered pairs. Complete parts a through c.
|
x |
1 |
1 |
3 |
3 |
1 |
|
|---|---|---|---|---|---|---|
|
y |
−1 |
1 |
4 |
3 |
−1 |
a. Calculate the slope and y-intercept for these data.
^y=______ + (______) x
(Round to four decimal places as needed.)
b. Calculate the total sum of squares (SST).
SST=
(Round to one decimal place as needed.)
c. Partition the sum of squares into the SSR and SSE.
SSE=
(Round to three decimal places as needed.)
SSR=
(Round to three decimal places as needed.)
Solutions
Expert Solution
a. Calculate the slope and y-intercept for these data.
y = -2.2500 + 1.9167
Run a regression analysis in excel followed by below procedures:
1. Go to data tab --> data analysis --> choose
Regression
Summary output:
SST= 20.8
SSE = 3.167
SSR = 17.633
orchestra answered 1 year agoRelated Solutions
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Consider the following set of ordered pairs. x 33 11 55 44 y 44 33 44...
Consider the following set of ordered pairs.
x
33
11
55
44
y
44
33
44
44
a) Calculate the slope and y-intercept for these data.
b) Calculate the total sum of squares (SST).
c) Partition the sum of squares into the SSR and SSE.
5. Use the given data set to complete parts (a) through (c) below. (Use a=0.05.) x ...
5. Use the given data set to complete parts (a) through (c)
below. (Use a=0.05.)
x
y
10
7.45
8
6.77
13
12.75
9
7.11
11
7.81
14
8.84
6
6.08
4
5.39
12
8.14
7
6.43
5
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a. Construct a scatterplot
Find the linear correlation coefficient, r, then determine
whether there is sufficient evidence to support the claim of a
linear correlation between the two variables.
The linear correlation coefficient is r=_____.
(Round to three decimal places as...
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals= 0.05.) x...
Use the given data set to complete parts (a) through (c) below.
(Use
alphaαequals= 0.05.)
x
10
8
13
9
11
14
6
4
12
7
5
y
7.45
6.77
12.75
7.11
7.82
8.83
6.07
5.39
8.15
6.43
5.74
Find the linear correlation coefficient, r, then determine
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The linear correlation coefficient is r=
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below. X 3 4 5 7 8 Y 3 5 8 12 13
(a) Find the estimates of Bo and B1.
Bo=bo= _____ (Round to three decimal places as needed.)
B1=b1= ______(Round to four decimal places as needed.)
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se= ____
(c) Assuming the residuals are normally distributed,
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Y
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4
4
7
5
6
7
12
8
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A set of n = 8 ordered pairs has the following sums. Σ x = 111...
A set of n = 8 ordered pairs has the following sums. Σ x = 111
Σx^2 = 1,869 Σy = 618 Σy2 = 49,374 Σxy = 7,860
(a) Find the line of best fit. (Round your answers to one
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one...
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