Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and y.
|
xi |
1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
|
yi |
3 | 8 | 5 | 10 | 14 |
(d)
Develop the estimated regression equation by computing the values of b0 and b1 using b1 =
| Σ(xi − x)(yi − y) |
| Σ(xi − x)2 |
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value of y when x = 2.
Homework Answers
The statistical software output for this problem is :
b0 = 0.8
b1 = 2.4
= 0.8 + 2.4 x
Predicted value = 5.6
Add Answer to:
Given are five observations for two variables, x and
y.
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Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
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(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value
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Given are five observations for two variables, x and y.
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Given are five observations for two variables, x and y. xi 1 2 3 4 5...
Given are five observations for two variables, x and
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yi
3
8
4
10
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(a)
Develop a scatter diagram for these data.
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Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 12 14
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Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value
of y when x = 9.
Observation 1 2 3 4 5 6 7 8...
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y.
xi
1
2
3
4
5
yi
3
8
4
10
15
(a)
Develop a scatter diagram for these data.
1 2 3 4 5 g 2 N to Go 4 1 2 0 1 3 4 5 6 1 2 3 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative linear relationship between x...
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