Question

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 = ______

Answer #1

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

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 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

Linear Regression and Correlation.
x
y
3
-10.52
4
1.94
5
-2.7
6
-3.14
7
-9.18
8
-4.82
9
-12.26
10
-11.1
11
-6.44
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places. (Round if necessary)...

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...

1
2
3
4
5
X
7
20
6
17
20
Y
7
19
11
9
3
The following sample observations were randomly selected:
1. Determine the regression equation. (Negative answers should
be indicated by a minus sign. Do not round intermediate
calculations. Round the final answer to 4 decimal places.)
b= a=
Y'= ------ + ------ X
2. Determine the value of Y' When X is 20. (Do not round
intermediate calculations. Round the final answer to 4 decimal...

Linear Regression and Correlation.
x
y
3
-3.26
4
2.72
5
1.2
6
1.88
7
0.16
8
-5.66
9
3.02
10
-6.7
11
-3.92
12
-5.34
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places.
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places.
r=
Compute the P-value...

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)...

Data Set:
x
y
0
4
2
2
2
0
5
-2
6
1
1. Find intercept b0
2. Find slope B1
3. Find the best fitted linear regression equation
4.Graph observations
5.Graph the linear equation on the same plot
6. Find the coefficient of Determination r²
7. Find the linear correlation coefficient r
8.Interpret r (the correlation between x & y)

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...

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