Question

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)

**C.)** Compute the estimated standard deviation of
b1 using equation.

sb1 = s / sqrt ( xi - x-bar )^2

[ ] (to 4 decimals)

**D.)** Use the t -test to test the following
hypotheses (a=.05 ):

H0 = B1 = 0

Ha = B1 ≠ 0

Compute the value of the -test statistic (Enter negative values as negative numbers). [ ] (to 4 decimals)

THE P-VALUE IS: [ Less than .01, * between .01 and .02, * .02 and .05, * .05 and .10, * .10 and .20, * .20 and .40, * Greater than .40. ]

What is your conclusion? [ DO NOT REJECT ; REJECT ] Ho

Answer #1

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 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.
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, and . 1 2 3 4 5 4
6 8 12 14
The estimated regression equation for these data is .
^y=1+2.6x
a. Compute SSE, SST, and SSR using the following equations (to 1
decimal). SSE=Σ(yi-^yi)
SST=Σ(yi-^yi) SSR=Σ(yi-^yi)
b. Compute the coefficient of determination r^2 (to 3 decimals).
Does this least squares line provide a good fit?
c. Compute the sample correlation coefficient (to 4
decimals)

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...

X Y 1 50 8 57 11 43 16 18 20 18 Use the estimated regression
equation is y = 61.5 – 2.21x. A). Compute the Mean Square Error
Using Equation. S^2 = MSE = SSE/(n-2) B). Compute The Standard
Error of the estimate using equation. S = SQRT(MSE) =
SQRT[SSE/(n-2)] C). Compute the estimated Standard Deviation of b1
using equation. Sb1 = S/SQRT[SUM(x-(x-bar))^2] D). Use the t-test
to test the following hypothesis (α = 0.05) H0: β1 = 0...

Consider the data.
xi
1
2
3
4
5
yi
2
8
6
11
13
(a)
Compute the mean square error using
equation s2 = MSE =
SSE
n −
2
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation
s =
MSE
=
SSE
n −
2
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of
b1
using equation
sb1 =
s
Σ(xi −
x)2...

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 collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

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