Question
In: Statistics and Probability
Data for the two variables X & Y is given below: (4,3); (6,5); (8,6); (11, 10);...
Data for the two variables X & Y is given below:
(4,3); (6,5); (8,6); (11, 10); (13, 11); (15,13)
- Draw scatter plot of X-Y
- Find correlation coefficient
- Infer the relation between the two variables
Solutions
orchestra answered 3 years agoRelated Solutions
Consider the following data for two variables, x and y. x 10 34 20 11 24...
Consider the following data for two variables, x and y.
x
10
34
20
11
24
y
11
30
22
19
21
a. Develop an estimated regression equation for
the data of the form y=b0+b1x. Comment on the
adequacy of this equation for predicting . Enter negative value as
negative number.
The regression equation is
Y=___________+___________ (to 2 decimals)
s=__________ (to 3 decimals)
r2=_________% (to 1 decimal)
r2 adj=_______ % (to 1 decimal)
Analysis of Variance
SOURCE
DF
SS
(to...
for the quantitative variables x and y are given in the table below. These data are...
for the quantitative variables
x
and
y
are given in the table below. These data are plotted in the
scatter plot shown next to the table.
In the scatter plot, sketch an approximation of the
least-squares regression line for the data.
x
y
7.4
6.6
4.0
5.0
2.0
3.9
3.1
5.0
9.4
8.4
4.7
5.9
6.6
6.2
8.5
6.9
7.9
7.3
1.6
3.7
4.4
4.6
2.8
3.9
2.7
3.1
5.7
6.3
5.9
7.3
9.7
8.3
6.9
6.3
8.8
8.4
x...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
7
7
13
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
(b)Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
7
11
7
15
13
18
21
20
30
(c)Develop a plot of the residuals against the independent
variable x.
a) A residual plot has 5...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi 6 11 15 18 20
yi 6 8 12 20 30
Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi −
̄x)^2 = 126, and s= 4.88.
a. Compute the residuals.
b. Plot the residuals against x. Do the assumptions about the
error terms seem to be satisfied?
c. Compute the standardized residuals.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
19
30
(a) Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =
(b) Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
19
20
30
(d) Compute the standardized residuals. (Round your answers to
two decimal places.)
xi
yi
Standardized
Residuals...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
1.66x−7.82
(b)
Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
21
20
30
(c)
Develop a plot of the residuals against the independent variable
x.
A residual plot...
Given below is a bivariate distribution for the random variables x and y. f(x, y) x...
Given below is a bivariate distribution for the random variables
x and y.
f(x,
y)
x
y
0.3
50
80
0.2
30
50
0.5
40
60
(a)
Compute the expected value and the variance for x and
y.
E(x)
=
E(y)
=
Var(x)
=
Var(y)
=
(b)
Develop a probability distribution for
x + y.
x + y
f(x +
y)
130
80
100
(c)
Using the result of part (b), compute
E(x +
y)
and
Var(x +
y).
E(x...
Given are five observations for two variables, x and y. xi 1 4 11 15 20...
Given are five observations for two variables,
x and y.
xi
1
4
11
15
20
yi
52
57
48
16
10
a. Compute SSE,
SST, and SSR.
SSE [ ] (to 2
decimals)
SST [ ] (to 2
decimals)
SSR [ ] (to 2
decimals)
b. Compute the coefficient of determination
r2. Comment on the goodness of
fit.
[ ] (to 3 decimals)
The least squares line provided an [good,bad] fit;
[ ]% of the variability in
y has...
Consider the following data for two variables, x and y.
Consider the following data for two variables, x and y.
x
22
24
26
30
35
40
y
11
20
33
34
39
36
(a)
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x.
(Round b0 to one decimal place and b1 to three decimal places.)ŷ =
−8.3+1.259x
(b)
Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05.
Find the...
Consider the following data for two variables, x and y.
Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and y? Explain.(f-test, to do f-test for the overall significance)
b. Develop the estimated regression equation relating x and y.
c. Plot the standardized residuals versus yˆ for the estimated regression equation developed in part (b). Do the model assumptions...
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