Question

x_{i} |
2 | 6 | 9 | 13 | 20 |

y_{i} |
7 | 18 | 9 | 26 | 23 |

The estimated regression equation is ŷ = 7.6 +
.9*x*.

- What is the value of the standard error of the estimate (to 4
decimals)?

- What is the value of the
*t*test statistic (to 2 decimals)? - Use the
*F*test to test for a significant relationship. Use α = .05.

Compute the value of the*F*test statistic (to 2 decimals).

Answer #1

a)

SSE =Syy-(Sxy)2/Sxx= | 127.300 |

s2 =SSE/(n-2)= | 42.4333 | |

value of the standard error σ
= |
=se =√s2= |
6.5141 |

b)

test stat t
= |
(bo-β1)/se(β1)= |
= |
1.90 |

c)

Source | SS | df | MS | F |

regression | 153.900 | 1 | 153.900 | 3.627 |

Residual error | 127.300 | 3 | 42.433 | |

Total | 281.200 | 4 |

value of the *F* test statistic
=**3.63**

xi
2
6
9
13
20
yi
7
18
9
26
23
The estimated regression equation is ŷ = 7.6 +
.9x.
What is the value of the standard error of the estimate (to 4
decimals)?
What is the value of the t test statistic (to 2
decimals)?
What is the p-value?
- Select your answer -less than .01between .01 and .02between .02
and .05between .05 and .10between .10 and .20between .20 and
.40greater than .40Item 3
What is your...

A dataset follows.
xi 2 6 9 13 20
yi 7 18 9 26 23
The estimated regression equation is ˆy= 7.6 + 0.9x, SSE =
127.3, and Σ(xi − ̄x)^2 = 190.
a. What is the value of the standard error of the estimate?
b. Test for a significant relationship by using the t test
(α=.05).

The data is given as follow.
Excel File: data14-17.xlsx
Xi 2
6
9
13 20
Yi 7
18
9
26 23
The estimated regression equation for these data is y=
7.6+.9x.
Compute SSE, SST, and SSR (to 1 decimal).
SSE
SST
SSR
What percentage of the total sum of squares can be accounted for
by the estimated regression equation (to 1 decimal)?
---------%
What is the value of the sample correlation coefficient (to 3
decimals)?
----------

Consider the data.
xi
2
6
9
13
20
yi
7
18
10
26
25
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β0 = 0
Ha: β0 ≠
0H0: β1 ≥ 0
Ha: β1 <
0 H0:
β1 ≠ 0
Ha: β1 =
0H0: β0 ≠ 0...

1.-Consider the data.
xi
2
6
9
13
20
yi
9
19
11
24
22
(a)What is the value of the standard error of the estimate?
(Round your answer to three decimal places.)_____
Find the value of the test statistic. (Round your answer to
three decimal places.)_____
Find the p-value. (Round your answer to four decimal
places.)
p-value = ___
(c)Use the F test to test for a significant
relationship. Use α = 0.05.
Find the value of the test...

Consider the data.
xi
2
6
9
13
20
yi
5
16
8
24
23
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β0 ≠ 0
Ha: β0 = 0
H0: β1 ≠ 0
Ha: β1 =
0
H0: β1 = 0
Ha: β1 ≠ 0
H0:...

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...

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
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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