Question
In: Statistics and Probability
Exercise 12.50 (Algorithmic)} Consider the following data for two variables, x and y. xi 135 110...
Exercise 12.50 (Algorithmic)}
Consider the following data for two variables, x and
y.
| xi | 135 | 110 | 135 | 150 | 175 | 160 | 125 |
| yi | 145 | 105 | 120 | 120 | 135 | 130 | 115 |
a. Compute the standardized residuals for these data.
| Observation 1 | |
| Observation 2 | |
| Observation 3 | |
| Observation 4 | |
| Observation 5 | |
| Observation 6 | |
| Observation 7 |
I got 23.13 for the first one and it was wrong
Solutions
Expert Solution
For the give data using Regression in Excel we get output as
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.615426681 | |||||
| R Square | 0.37875 | |||||
| Adjusted R Square | 0.2545 | |||||
| Standard Error | 11.53798076 | |||||
| Observations | 7 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | ||
| Regression | 1 | 405.8035714 | 405.8036 | 3.04829 | 0.141260351 | |
| Residual | 5 | 665.625 | 133.125 | |||
| Total | 6 | 1071.428571 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | 71.25 | 30.68811692 | 2.321746 | 0.067906 | -7.636315883 | 150.1363159 |
| X | 0.375 | 0.214784603 | 1.745935 | 0.14126 | -0.177121399 | 0.927121399 |
| RESIDUAL OUTPUT | ||
| Observation | Predicted Y | Residuals |
| 1 | 121.875 | 23.125 |
| 2 | 112.5 | -7.5 |
| 3 | 121.875 | -1.875 |
| 4 | 127.5 | -7.5 |
| 5 | 136.875 | -1.875 |
| 6 | 131.25 | -1.25 |
| 7 | 118.125 | -3.125 |
orchestra answered 2 years agoRelated Solutions
{Exercise 12.50 (Algorithmic)} Consider the following data for two variables, x and y. xi 135 110...
{Exercise 12.50 (Algorithmic)}
Consider the following data for two variables, x and
y.
xi
135
110
135
150
175
160
125
yi
145
105
120
120
135
130
115
a. Compute the standardized residuals for these
data.
Observation 1
Observation 2
Observation 3
Observation 4
Observation 5
Observation 6
Observation 7
Consider the following data for two variables, x and y. xi 135 110 130 145 175...
Consider the following data for two variables, x and
y.
xi
135
110
130
145
175
160
120
yi
145
105
120
115
130
130
110
(a)
Compute the standardized residuals for these data. (Round your
answers to two decimal places.)
xi
yi
Standardized
Residuals
135
145
110
105
130
120
145
115
175
130
160
130
120
110
Do the data include any outliers? Explain. (Round your answers
to two decimal places.)
The standardized residual with the largest absolute...
Consider the following data for two variables, x and y. xi 140 110 130 150 175...
Consider the following data for two variables, x and
y.
xi
140
110
130
150
175
160
125
yi
150
100
125
120
135
135
115
a. Compute the standardized residuals for these
data.
Observation 1
Observation 2
Observation 3
Observation 4
Observation 5
Observation 6
Observation 7
A statistical program is recommended. Consider the following data for two variables, x and y. xi...
A statistical program is recommended. Consider the following
data for two variables, x and y. xi 135 110 130 145 175 160 120 yi
145 100 120 120 135 130 110
(a) Compute the standardized residuals for these data. (Round
your answers to two decimal places.) xi yi Standardized Residuals
135 145 2.11 Incorrect: Your answer is incorrect. 110 100 -0.73
Incorrect: Your answer is incorrect. 130 120 145 120 175 135 160
130 120 110 Do the data include...
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...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
12
20
33
35
40
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 =
(b) Use the results from part (a) to test for a significant
relationship between x and y. Use α =
0.05....
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
9
32
18
15
26
y
11
20
22
17
22
(a) Develop an estimated regression equation for the data of the
form ŷ = b0 +
b1x. (Round
b0 to two decimal places and
b1 to three decimal places.)
ŷ =
Comment on the adequacy of this equation for predicting
y. (Use α = 0.05.)
The high p-value and low coefficient of determination...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
9
32
18
15
26
y
9
20
22
16
23
(a)Develop an estimated regression equation for the data of the
form ŷ = b0 + b1x. (Round
b0 to two decimal places and
b1 to three decimal places.)
(b) Develop an estimated regression equation for the data of the
form ŷ = b0 + b1x +
b2x2. (Round b0 to two
decimal places...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
12
20
32
36
39
36
(a). Develop an estimated regression equation for the data of
the form
ŷ = b0 + b1x.
(b). Use the results from part (a) to test for a significant
relationship between x and y. Use α = 0.05.
Find the value of the test statistic.
Find the p-value.
Is the relationship...
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