Question

Consider the following data for a dependent variable y and two independent variables, x1 and x2.

x1 | x2 | y |

29 | 12 | 95 |

46 | 10 | 109 |

24 | 17 | 113 |

50 | 17 | 178 |

40 | 5 | 94 |

52 | 19 | 176 |

74 | 7 | 170 |

36 | 13 | 118 |

59 | 13 | 143 |

76 | 16 | 212 |

Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary.

**a.** Develop an estimated regression equation
relating y to x1.

y^=_____ + _____x1 (fill in blanks)

Predict y if x1=45.

y^=_____

**b.** Develop an estimated regression equation
relating y to x2.

y^=_____ + _____x2

Predict y if x2=25.

y^=_____

**c.** Develop an estimated regression equation
relating y to x1 and x2.

y^=_____ + _____x1+ _____x2

Predict y if x1=45 and x2=25.

y^=_____

Answer #1

Consider the following data for a dependent variable y and two
independent variables, x1 and x2 . x 1 x 2 y 29 13 94 46 11 109 25
17 112 50 16 178 40 6 95 51 19 175 74 7 170 36 13 117 59 13 143 76
17 212 Round your all answers to two decimal places. Enter negative
values as negative numbers, if necessary. a. Develop an estimated
regression equation relating y to x1 . ŷ...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2; for these data SST = 15,309.6, and SSR =
14,429.8.
x 1
x 2
y
30
12
94
47
10
109
25
17
113
51
17
179
41
5
94
51
19
176
74
7
170
36
13
118
59
13
143
76
17
212
Round your answers to three decimal places.
a. Compute R2.
b. Compute
Ra2.

8. Consider the following data for a dependent variable
y and two independent variables, x1 and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
(a) Develop an estimated regression equation relating y
to x1. (Round your numerical values to one decimal
place.)
ŷ = ______
Predict y if x1 = 51. (Round
your answer...

A statistical program is recommended.
Consider the following data for a dependent variable y
and two independent variables,
x1
and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
(a)
Develop an estimated regression equation relating y
to
x1.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x1 = 51.
(Round...

Consider the following data for a dependent variable y
and two independent
variables, x1 and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data isŷ =
−18.37 + 2.01x1 +
4.74x2.
Here, SST = 15,182.9, SSR = 14,052.2,
sb1 =
0.2471, and sb2
= 0.9484.
(A) Test for a significant relationship...

A statistical program is recommended.
Consider the following data for a dependent variable y
and two independent variables,
x1
and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for the data is
ŷ = −18.4 + 2.01x1 + 4.74x2.
(a)
Develop a 95% confidence interval for the mean value of...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is ŷ =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...

Given here are data for a dependent variable and four potential
predictors.
y
x1
x2
x3
x4
x5
96
8
60
2.4
48
51
73
6
64
2.1
42
43
108
2
76
1.8
34
20
124
5
74
2.2
11
14
82
6
50
1.5
61
29
89
9
57
1.6
53
22
76
1
72
2
72
38
109
3
74
2.8
36
40
123
2
99
2.6
17
50
125
6
81
2.5
48
55
101
2...

(By Hand) For the dependent variable Y and the independent
variables X1 and X2, the linear regression model is given by:
Y=0.08059*X1-0.16109*X2+5.26570. Complete the following table:
Actual Y
X1
X2
Predicted Y
Prediction Error
6
6.8
4.7
3.1
5.3
5.5
5.8
4.5
6.2
4.5
8.8
7
4.5
6.8
6.1
3.7
8.5
5.1
5.4
8.9
4.8
5.1
6.9
5.4
5.8
9.3
5.9
5.7
8.4
5.4

Use the dependent variable (labeled Y) and the independent
variables (labeled X1, X2, and X3) in the data file. Use Excel to
perform the regression and correlation analysis to answer the
following.
Generate a scatterplot for the specified dependent variable (Y)
and the X1 independent variable, including the graph of the "best
fit" line. Interpret.
Determine the equation of the "best fit" line, which describes
the relationship between the dependent variable and the selected
independent variable.
Determine the coefficient of...

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