Question
In: Statistics and Probability
ŷ = 20 + 0.8x is given for the data below. xi 70 75 80 80...
ŷ = 20 + 0.8x is given for the data below.
|
xi |
70 |
75 |
80 |
80 |
85 |
90 |
|
yi |
75 |
82 |
80 |
86 |
90 |
91 |
|
ŷi |
76 |
80 |
84 |
84 |
88 |
92 |
|
ei |
-1 |
2 |
-4 |
2 |
2 |
-1 |
Calculate SSE, the sum of square errors.
Calculate the sample estimate of the variance for the regression model.
What value would be given in Minitab? Why?
Calculate the value of R2. What does R2represent?
Solutions
orchestra answered 2 years agoRelated Solutions
The estimated regression equation for these data is ŷ = 70 − 3x.
Consider the data.
xi
3
12
6
20
14
yi
55
35
60
10
25
The estimated regression equation for these data is
ŷ = 70 − 3x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi −
ŷi)2,
SST = Σ(yi −
y)2,
and
SSR = Σ(ŷi −
y)2.
SSE=
SST=
SSR=
(b)
Compute the coefficient of determination
r2. (Round your answer to three
decimal places.)
r2 =
(c)
Compute the sample correlation coefficient. (Round your answer...
Permissive Authoritative Authoritarian 70 70 55 90 80 80 90 90 75 90 70 67 M=85...
Permissive
Authoritative
Authoritarian
70
70
55
90
80
80
90
90
75
90
70
67
M=85
75
50
M=81
63
65
M=65
grand mean=75
Calculate your F ratio. [ If you could not
answer any of the questions above about the SS and df values, go
back now and make up numbers to fill in for those values then use
those wrong numbers to find this F ratio. Those will be wrong, but
this could be right based on those...
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.
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9...
The data is given as follow.
xi
2
6
9
13
20
yi
7
18
9
26
23
The estimated regression equation for these data is =
7.6 + .9x.
Compute SSE, SST, and SSR (to 1 decimal).
SSE
SST
SSR
What percentage of the total sum of squares can be accounted for by
the estimated regression equation (to 1 decimal)?
%
What is the value of the sample correlation coefficient (to 3
decimals)?
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...
Put options with strikes of 70, 75, and 80 have option premiums of 4.00, 8.00, and...
Put options with strikes of 70, 75, and 80 have option premiums
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Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62,...
Complete parts (a) through (h) for the data below.
x- 40, 50, 60, 70, 80
y-62, 58, 55, 47, 33
B) Find the equation of the line containing the points (50, 58)
and (80, 33)
y=__x+(__)
D) By hand, determine the least-squares regression line
The equation of the least-squares regression line is given
by
ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0
where b1 equals r times StartFraction s Subscript y Over s
Subscript x EndFractionb1=r•sysx
is...
Refer to the data set of 20 randomly selected presidents given below. Treat the data as...
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presidents who were taller than their opponents. Use that result to
construct a 95% confidence interval estimate of the population
percentage. Based on the result, does it appear that greater
height is an advantage for presidential candidates? Why or why
not?
Construct a 95% confidence interval estimate of the percentage
of presidents who were taller than their...
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