Question

Consider the following set of ordered pairs.

x 6 0 3 4 4 1

y 4 1 4 5 6 7

Assuming that the regression equation is y with caret = 3.750 + 0.250x and that the SSE = 20.0000, test to determine if the slope is not equal to zero using alpha = 0.10.

a.) state the hypotheses

b.) what is the test statistic?

c.) what is the p value?

d.) state the conclusion

Answer #1

a)

null hypothesis:
Ho:
β_{1} |
= | 0 | |

Alternate
Hypothesis: Ha: β_{1} |
≠ | 0 |

b)

s^{2} =SSE/(n-2)= |
5.0000 | |

std error σ = | =se
=√s^{2}= |
2.2361 |

estimated std error of slope =se(β_{1}) =s/√Sxx= |
0.4564 | ||

test stat t = |
(bo-β_{1})/se(β_{1})=0.25/0.4564 |
= |
0.5477 |

c)

from excel: p value =tdist(0.5477,6-2,2) =0.6130

d)

since p value >0.10 , we can not reject null hypothesis

we do not have sufficient evidence at 0.10 level to conclude that slope is different from zero .

Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 9
3 7
Assuming that the regression equation is y=3.519 + 1.142x and
that the SSE= 1.5755, test to determine if the slope is not equal
to zero using a=0.05.
Test statistic=
identify the critical values=
and last state the conclusion

Consider the following set of ordered pairs.
x 6 1 4 3 4 0
y 5 2 5 3 4 5
Assuming that the regression equation is y=3.375 + 0.208x and
that the SSE=6.9583, test to determine if the slope is not equal
to zero using α=0.10.
State the hypotheses. Choose the correct answer below.
A. H0: β ≠0 H1: β=0
B. H0: β=0 H1: β>0
C. H0: β=0 H1: β≠0
D. H0: β=0 H1: β<0
Calculate the test statistic....

Consider the following set of ordered pairs.
x 6 0 3 4 4 1
y 4 1 4 5 6 7
a.) state the hypotheses
b.) what is the test statistic?
c.) what is the p value?
d.) state the conclusion

x
7
0
3
4
3
1
y
6
2
6
5
6
7
Assuming that the regression equation is y = 4.433 + 0.300x and
that the SSE = 12.6333, test to determine if the slope is not equal
to zero using alpha = 0.10
a) Test Statistic T = ______ (round to two decimal places)
b) Critical value(s) = _______, _______ (round to 3 decimal
places)
c) P-value = ______

Consider the following set of ordered pairs.
x 4 1 2 5
y 5 1 3 6
a) Calculate the slope and y-intercept for these data.
b) Calculate the total sum of squares (SST).
c) Partition the sum of squares into the SSR and SSE.

Consider the following set of ordered pairs shown below.
Assuming that the regression equation is y with caret=1.601+0.788x
and the SSE=5.15, construct a 90% confidence interval for
x=5.
x
55
00
44
33
44
11
y
66
22
66
44
33
22
Calculate the upper and lower limits of the confidence
interval.
UCL
=
LCL
=

Consider the following set of ordered pairs shown below.
Assuming that the regression equation is y+ 0.833+ 1.000x and the
SSE=2.8332, construct a 90% confidence interval for x=2.
X: 5 1 4 4 3 1
Y:6 2 6 4 3 2
Calculate the upper and lower limits of the confidence
interval.
UCL=?
LCL=?

Consider the following set of ordered pairs.
x
5
1
2
4
4
y
6
1
0
6
5
Calculate the coefficient of determination and test its
significance using α=0.05.
A. Calculate the coefficient of determination.
R^2equals=
B. Determine the null and alternative hypotheses.
Determine the critical F-score, Fα.
Fα=
(Round to three decimal places as needed.)
Calculate the F-score for this test.
F=
(Round to three decimal places as needed.)
Reject or Do not reject?

Consider the following set of ordered pairs. Complete parts a
through c.
x 5 3 1 1 1
y 10 7 0 1 −2
a. Calculate the slope and y-intercept for these data.
y = () +() x (Round to four decimal places as needed.)
b. Calculate the total sum of squares (SST).
SST = (Round to one decimal place as needed.)
c. Partition the sum of squares into the SSR and SSE.
SSE =(Round to three decimal places...

Consider the data set below.
x
4
6
3
8
7
6
y
1
3
9
1
8
6
For a hyopthesis test, where H0:?1=0 and H1:?1?0, and using
?=0.01, give the following:
(a) The test statistic t=
(b) The degree of freedom df=
(c) The rejection region |t|>

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago