Question

Given are five observations for two variables, *x* and
*y*.

x_{i} |
1 | 2 | 3 | 4 | 5 |

y_{i} |
4 | 7 | 6 | 12 | 14 |

Round your answers to two decimal places.

**a.** Using the following equation:

Estimate the standard deviation of ŷ* when *x* =
4.

**b.** Using the following expression:

Develop a 95% confidence interval for the expected value of
*y* when *x* = 4.

to

**c.** Using the following equation:

Estimate the standard deviation of an individual value of
*y* when *x* = 4.

**d.** Using the following expression:

Develop a 95% prediction interval for *y* when *x*
= 4. If your answer is negative, enter minus (-) sign.

to

Answer #1

Given are five observations for two variables, x and y. x i 1 2
3 4 5 y i 3 8 6 12 13 Round your answers to two decimal places. a.
Using the following equation: Estimate the standard deviation of ŷ*
when x = 3. b. Using the following expression: Develop a 95%
confidence interval for the expected value of y when x = 3. to c.
Using the following equation: Estimate the standard deviation of an
individual value...

Given are five observations for two variables, and . Use Table 2
of Appendix B. 1 2 3 4 5 4 7 5 11 14 Round your answers to two
decimal places. a. Using the following equation: Sy*=s*SQRT(1/n +
(x*-xbar)^2/Sigma(xi-xbar)^2)Estimate the standard deviation of Y
when x=4 b. Using the following expression: ^y*+-(t a/2)Sy*Develop
a confidence interval for the expected value of y when x=4 c. Using
the following equation: S
pred=s*sqrt(1+1/n+(x*-xbar)^2/sigma(xi-xbar)2 Estimate the standard
deviation of an individual value...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
6
6
11
15
Which of the following scatter diagrams accurately represents
the data?
1.
2.
3.
What does the scatter diagram indicate about the relationship
between the two variables?
Develop the estimated regression equation by computing the the
slope and the y intercept of the estimated regression line
(to 1 decimal).
ŷ = + x
Use the estimated regression equation to...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
2
8
6
11
13
a) 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 =?
b) Use the estimated regression equation to predict the value of
y when
x = 2.

Given are five observations for two variables, x and y. xi 1 2 3
4 5 yi 4 7 6 12 15 The estimated regression equation is ? = 0.7 +
2.7x. Compute the mean square error using the following equation
(to 3 decimals). Compute the standard error of the estimate using
the following equation (to 3 decimals). Compute the estimated
standard deviation b1 using the following equation (to 3 decimals).
Use the t test to test the following hypotheses...

Given are five observations for two variables, x and y.
X: 1 2 3 4 5
Y: 4 5 5 11 13
a. Try to approximate the relationship between x and y by
drawing a straight line through the data.
b. Develop the estimated regression equation by computing the
values of b0 and b1 (to 1 decimals).
y= _____ + ______x
c. Use the estimated regression equation to predict the value of
y when x=4 (to 1 decimals).
y=_____

Given are five observations for two variables, x and y .
xi
1
2
3
4
5
yi
53
58
47
21
11
Use the estimated regression equation is y-hat = 78.01 -
3.08x
A.) Compute the mean square error using
equation.
s^2 = MSE = SSE / n -2
[ ] (to 2 decimals)
B.) Compute the standard error of the estimate
using equation
s = sqrtMSE = sqrt SSE / n - 2
[ ] (to 2 decimals)...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
7
6
11
14
The estimated regression equation is = 1.2 + 2.4
x.
Compute the mean square error using the following equation (to
3 decimals).
Compute the standard error of the estimate using the following
equation (to 3 decimals).
Compute the estimated standard deviation b
1 using the following equation (to 3 decimals).
Use the t test to test the following hypotheses...

Given are five observations for two variables, x and y .
xi
1
2
3
4
5
yi
53
58
47
21
11
Use the estimated regression equation is y-hat = 78.01 -
3.08x
A.) Compute the mean square error using
equation.
s^2 = MSE = SSE / n -2
[ ] (to 2 decimals)
B.) Compute the standard error of the estimate
using equation
s = sqrtMSE = sqrt SSE / n - 2
[ ] (to 2 decimals)...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
9
18
8
25
21
A. Develop the estimated regression equation for these data.
B.Use the estimated regression equation to predict the value of
y when
x = 13.

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