Question

The following sample observations were randomly selected.
**(Round intermediate calculations and final answers to 2
decimal places.)**

**Regression equation is-**

**When X gives 6 this gives-**

x |
3 | 5 | 3 | 6 | 7 |

y |
3 | 6 | 5 | 7 | 7 |

Answer #1

Line of Regression Y on X i.e
Y = bo + b1
X |
||||

X | Y | (Xi - Mean)^2 | (Yi - Mean)^2 | (Xi-Mean)*(Yi-Mean) |

3 | 3 | 3.24 | 6.76 | 4.68 |

5 | 6 | 0.04 | 0.16 | 0.08 |

3 | 5 | 3.24 | 0.36 | 1.08 |

6 | 7 | 1.44 | 1.96 | 1.68 |

7 | 7 | 4.84 | 1.96 | 3.08 |

calculation procedure for regression

mean of X = ∑ X / n = 4.8

mean of Y = ∑ Y / n = 5.6

∑ (Xi - Mean)^2 = 12.8

∑ (Yi - Mean)^2 = 11.2

∑ (Xi-Mean)*(Yi-Mean) = 10.6

b1 = ∑ (Xi-Mean)*(Yi-Mean) / ∑ (Xi - Mean)^2

= 10.6 / 12.8

= 0.83

bo = ∑ Y / n - b1 * ∑ X / n

bo = 5.6 - 0.83*4.8 = 1.63

value of regression equation is, Y = bo + b1 X

Y'=1.63+0.83* X

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
3
5
3
6
7
y
3
6
5
7
7
A. The regression equation is Y= ____ + ____X
B When X is 6 this gives y=______

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
7
5
3
6
10
y
4
6
3
7
7
1. The regression equation is y= ___ + ____x
2. When X is 9 this gives y=____

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
4
5
3
2
10
y
4
6
5
7
2
a
The regression equation is ŷ = __________ + __________
b
When X is 9 this gives ŷ =___________

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
4
5
3
2
10
y
4
6
5
7
2
a.
The regression equation is ŷ =
+
x
b.
When X is 9 this gives ŷ =

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
4
5
3
4
10
y
4
6
4
7
7
QUESTION:
a.
The regression equation is ŷ =
+
x
b.
When X is 9 this gives ŷ
=

The following sample observations were randomly selected.
(Round intermediate calculations and final answers to 2
decimal places.)
x
4
5
3
7
10
y
4
3
5
7
7
a.The regression equation is ŷ =________+__________x
b.When X is 8 this gives ŷ =_________

The following sample observations were randomly selected:
(Round the final answers to 4 decimal places.)
X:
11
9
9
7
8
5
6
10
Y:
8
9
19
11
13
5
24
9
a. Determine the 95% confidence interval for
the mean predicted when X = 13.
[ , ]
b. Determine the 95% prediction interval for an
individual predicted when X = 13.
[ , ]

The following sample observations were randomly selected:
(Round the final answers to 4 decimal places.)
X:
11
9
9
7
8
5
6
10
Y:
8
9
19
11
13
5
24
9
a. Determine the 95% confidence interval for
the mean predicted when X = 13.
[ ? , ? ]
b. Determine the 95% prediction interval for an
individual predicted when X = 13.
[ ? , ? ]

The following sample observations were randomly selected.
(Do not round the intermediate values. Negative amount
should be indicated by a minus sign. Round your answers to 3
decimal places.)
X:
5
5
2
6
10
Y:
4
6
5
5
7
Determine the 0.99 confidence interval for the mean predicted
when x = 7.

the following sample observations were randomly selected x: 2 5
3 6 10 AND y: 4 2 5 7 7 the regression equation is y = (blank) +
(blank) x when X is 8 this gives y = ??

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