PROBLEM 1: Analyze the following data using LINEAR TRENDANALYSIS. How many cars will be sold in time period 13?
TIME PERIOD
NUMBER OF CARS SOLD
1
70
2
80
3
66
4
74
5
64
6
76
7
72
8
83
9
82
10
76
11
84
12
80
PROBLEM 2: A sample of 20 cars was taken, and the miles pergallon (MPG), horsepower, and total weight were recorded.
Develop a simple regression model to predict the dependentvariable, MPG, using horsepoweras the independent variable.
Develop a simple regression model to predict the dependentvariable, MPG, using weight asthe independent variable.
Using R², which of the 2 causal forecasting models, A or B, isbetter?
Develop a multiple regression model to predict the dependentvariable, MPG, using horsepowerand weight as the 2 independent variables.
Using R², how does the multiple regression model compare witheach of the 2 simple regression models?
MPG (Y)
HORSEPOWER (X1)
WEIGHT (X2)
44
67
1844
44
50
1998
40
62
1752
37
69
1980
37
66
1797
34
63
2199
35
90
2404
32
99
2611
30
63
3236
28
91
2606
26
94
2580
26
88
2507
25
124
2922
22
97
2434
20
114
3248
21
102
2812
18
114
3382
18
142
3197
16
153
4380
16
139
4036
give answer to the problem 1 and 2 in excel.
PROBLEM 1: Analyze the following data using LINEAR TRENDANALYSIS. How many cars will be sold in time period 13?
TIME PERIOD | NUMBER OF CARS SOLD |
1 | 70 |
2 | 80 |
3 | 66 |
4 | 74 |
5 | 64 |
6 | 76 |
7 | 72 |
8 | 83 |
9 | 82 |
10 | 76 |
11 | 84 |
12 | 80 |
PROBLEM 2: A sample of 20 cars was taken, and the miles pergallon (MPG), horsepower, and total weight were recorded.
Develop a simple regression model to predict the dependentvariable, MPG, using horsepoweras the independent variable.
Develop a simple regression model to predict the dependentvariable, MPG, using weight asthe independent variable.
Using R², which of the 2 causal forecasting models, A or B, isbetter?
Develop a multiple regression model to predict the dependentvariable, MPG, using horsepowerand weight as the 2 independent variables.
Using R², how does the multiple regression model compare witheach of the 2 simple regression models?
MPG (Y) | HORSEPOWER (X1) | WEIGHT (X2) |
44 | 67 | 1844 |
44 | 50 | 1998 |
40 | 62 | 1752 |
37 | 69 | 1980 |
37 | 66 | 1797 |
34 | 63 | 2199 |
35 | 90 | 2404 |
32 | 99 | 2611 |
30 | 63 | 3236 |
28 | 91 | 2606 |
26 | 94 | 2580 |
26 | 88 | 2507 |
25 | 124 | 2922 |
22 | 97 | 2434 |
20 | 114 | 3248 |
21 | 102 | 2812 |
18 | 114 | 3382 |
18 | 142 | 3197 |
16 | 153 | 4380 |
16 | 139 | 4036 |
give answer to the problem 1 and 2 in excel.