Question
In: Statistics and Probability
For the data and sample regression equation shown below, complete parts (a) through (c). x 0...
For the data and sample regression equation shown below, complete parts (a) through (c).
|
x |
0 |
3 |
5 |
5 |
5 |
|
ModifyingAbove y with caret equals 4.500 minus 0.917 xy=4.500−0.917x |
|---|---|---|---|---|---|---|---|
|
y |
4 |
3 |
0 |
−2 |
1 |
a. Determine the standard error of the estimate.
b. Construct a residual plot.
c. Construct a normal probability plot of the residuals.
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Solutions
Expert Solution
| x | y | Fitted value (y^)=4.500-0.917x | Residual (e )=y-y^ | e^2 |
| 0 | 4 | 4.5 | -0.5 | 0.25 |
| 3 | 3 | 1.749 | 1.251 | 1.565001 |
| 5 | 0 | -0.085 | 0.085 | 0.007225 |
| 5 | -2 | -0.085 | -1.915 | 3.667225 |
| 5 | 1 | -0.085 | 1.085 | 1.177225 |
| Total | 6.666676 |
b) The residuals plot is
The number of the observation is small but the scatter plot of residuals VS order of observation does not show any pattern. Hence, the asssumption of random on residulas is satisfied.
c)
The dots of the sample quantiles and theoritical quantile form near to a straight line. Hence, the assumption of normality on the rwesiduals is satisfied.
orchestra answered 1 year agoRelated Solutions
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d)
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.)
(b) Compute the standard error the point estimate for
se= ____
(c) Assuming the residuals are normally distributed,
determine
Sb1=____ (Round to four decimal places as needed.)
(d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. X 20 30 40...
For the data set shown below, complete parts (a) through (d)
below.
X 20 30 40 50 60
Y 98 95 91 81 68
(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.)
(b) Compute the standard error the point estimate for
se= ____
(c) Assuming the residuals are normally distributed,
determine
Sb1=____
(Round to four decimal places as needed.)
(d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d)
below. X 3 4 5 7 8 Y 4 7 6 12 15 (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.) (b) Compute the
standard error the point estimate for se= ____ (c) Assuming the
residuals are normally distributed, determine Sb1=____ (Round to
four decimal places as needed.)
(d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. x y 20 102...
For the data set shown below, complete parts (a) through (d)
below. x y 20 102 30 95 40 91 50 81 60 68 (a) Use technology to
find the estimates of beta 0 and beta 1. beta 0 ~ b 0=_____(Round
to two decimal places as needed.) beta 1 ~ b 1=_____(Round to two
decimal places as needed.) (b) Use technology to compute the
standard error, the point estimate for o' (o with a little tag on
the top)...
Use the data in the table below to complete parts (a) through (c). X: 5 5...
Use the data in the table below to complete parts (a) through
(c).
X: 5 5 6 9 13 16 18 48
Y: 30 27 18 23 25 20 21 10
A.) Construct a scatterplot of the data.
B.) Indentify any possible outliners.
A.) The point (18,21) may be an outliner.
B.) The point (48,10) may be an outliner
C.) The point (5,27) may be an outliner.
D.) The point (5,30) may be an outliner
E.) There are no outliners....
the data set shown below, complete parts (a) through (d) below. x 3 4 5 7...
the data set shown below, complete parts (a) through (d)
below. x 3 4 5 7 8 y 5 7 8 12 13 (a) Find the estimates of beta 0
and beta 1. beta 0almost equalsb 0equals nothing (Round to three
decimal places as needed.) beta 1almost equalsb 1equals nothing
(Round to three decimal places as needed.)
the data set shown below, complete parts (a) through (d) below. x 3 4 5 7...
the data set shown below, complete parts (a) through (d)
below. x 3 4 5 7 8 y 5 7 6 12 13 (a) Find the estimates of beta 0
and beta 1. beta 0almost equalsb 0equals nothing (Round to three
decimal places as needed.) beta 1almost equalsb 1equals nothing
(Round to three decimal places as needed.)(a) Find the estimates
of beta 0 and beta 1. beta 0almost equalsb 0equals ??(Round to
three decimal places as needed.) beta 1almost equalsb...
For the data set shown below, complete parts (a) through (d). X Y 3 4 4...
For the data set shown below, complete parts (a) through
(d).
X
Y
3
4
4
7
5
6
7
12
8
15
(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.)
(b) Compute the standard error the point estimate for
se= ____
(c) Assuming the residuals are normally distributed,
determine
Sb1=____
(Round to four decimal places as needed.)
(d) Assuming the residuals are...
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
5.73
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
whether there is sufficient evidence to support the claim of a
linear correlation between the two variables.
The linear correlation coefficient is r=
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