In: Economics
Sales (Y) | Calls (X1) | Time (X2) | Years (X3) | Type |
47 | 167 | 12.9 | 5 | ONLINE |
43 | 137 | 16.6 | 4 | NONE |
48 | 164 | 14.7 | 3 | NONE |
46 | 182 | 13.2 | 3 | ONLINE |
42 | 183 | 14.4 | 2 | ONLINE |
51 | 183 | 11.4 | 2 | ONLINE |
34 | 122 | 20.4 | 3 | NONE |
30 | 175 | 14.3 | 3 | GROUP |
46 | 160 | 12.9 | 1 | GROUP |
38 | 145 | 15.6 | 3 | NONE |
34 | 184 | 12.5 | 4 | GROUP |
44 | 144 | 15.3 | 0 | GROUP |
44 | 136 | 17.2 | 2 | GROUP |
40 | 201 | 13.1 | 2 | ONLINE |
45 | 148 | 16.3 | 0 | ONLINE |
43 | 164 | 13.1 | 3 | ONLINE |
39 | 127 | 17.1 | 2 | ONLINE |
46 | 148 | 15.5 | 1 | GROUP |
39 | 131 | 18.4 | 1 | GROUP |
35 | 188 | 18.2 | 2 | ONLINE |
43 | 153 | 17.3 | 1 | NONE |
44 | 145 | 15.8 | 1 | NONE |
40 | 132 | 12.8 | 1 | NONE |
41 | 120 | 17.7 | 0 | NONE |
40 | 148 | 15.2 | 3 | GROUP |
36 | 173 | 14.3 | 4 | GROUP |
48 | 191 | 13.6 | 1 | GROUP |
46 | 161 | 16.6 | 3 | ONLINE |
42 | 153 | 14.9 | 3 | GROUP |
47 | 173 | 14.6 | 2 | ONLINE |
43 | 164 | 15.2 | 0 | ONLINE |
39 | 181 | 14.7 | 3 | ONLINE |
48 | 163 | 15.5 | 3 | GROUP |
52 | 187 | 12.5 | 2 | ONLINE |
48 | 142 | 14.8 | 0 | NONE |
41 | 137 | 16.7 | 1 | NONE |
47 | 167 | 16.1 | 5 | ONLINE |
43 | 173 | 12.8 | 0 | ONLINE |
45 | 152 | 17.1 | 3 | GROUP |
43 | 150 | 15.3 | 2 | GROUP |
39 | 147 | 13.6 | 3 | GROUP |
41 | 133 | 15.9 | 2 | NONE |
48 | 173 | 17.4 | 0 | ONLINE |
44 | 160 | 14.1 | 4 | NONE |
44 | 133 | 19.2 | 3 | GROUP |
38 | 127 | 18.5 | 1 | GROUP |
34 | 132 | 18.2 | 4 | NONE |
48 | 182 | 14.1 | 4 | ONLINE |
44 | 165 | 14.2 | 5 | GROUP |
40 | 158 | 15.6 | 2 | ONLINE |
52 | 181 | 11.8 | 2 | ONLINE |
38 | 139 | 12.2 | 1 | NONE |
34 | 160 | 13.1 | 1 | ONLINE |
47 | 166 | 13.8 | 3 | ONLINE |
41 | 138 | 16.1 | 2 | NONE |
37 | 171 | 11.7 | 2 | GROUP |
47 | 174 | 13.8 | 2 | GROUP |
40 | 146 | 18.2 | 2 | GROUP |
36 | 158 | 17.5 | 1 | GROUP |
50 | 162 | 15.6 | 2 | ONLINE |
41 | 158 | 13.8 | 4 | GROUP |
37 | 192 | 13.7 | 3 | ONLINE |
48 | 152 | 19.9 | 2 | ONLINE |
42 | 154 | 13.6 | 3 | ONLINE |
38 | 163 | 10.8 | 4 | GROUP |
50 | 172 | 11.1 | 1 | ONLINE |
44 | 174 | 18.5 | 2 | GROUP |
40 | 192 | 12.7 | 1 | ONLINE |
53 | 183 | 11.4 | 4 | ONLINE |
46 | 170 | 14.2 | 2 | ONLINE |
42 | 191 | 14.2 | 0 | ONLINE |
41 | 148 | 14.8 | 1 | GROUP |
41 | 155 | 14.8 | 2 | GROUP |
37 | 163 | 14.4 | 2 | ONLINE |
45 | 165 | 16.4 | 1 | GROUP |
53 | 174 | 15.1 | 1 | ONLINE |
49 | 181 | 11.6 | 2 | NONE |
52 | 175 | 12.3 | 1 | NONE |
40 | 139 | 15.7 | 2 | NONE |
36 | 162 | 18.4 | 2 | ONLINE |
42 | 148 | 13.7 | 2 | NONE |
41 | 147 | 16.8 | 2 | GROUP |
37 | 189 | 12.7 | 1 | ONLINE |
51 | 193 | 12.1 | 2 | ONLINE |
39 | 148 | 14.4 | 4 | GROUP |
35 | 149 | 19.3 | 2 | NONE |
49 | 187 | 14.3 | 2 | ONLINE |
40 | 135 | 19.5 | 3 | GROUP |
36 | 204 | 12.1 | 1 | ONLINE |
45 | 155 | 11.6 | 3 | GROUP |
37 | 128 | 19.7 | 2 | NONE |
33 | 164 | 15.9 | 3 | ONLINE |
45 | 151 | 13.6 | 1 | GROUP |
46 | 174 | 16.6 | 2 | GROUP |
42 | 160 | 16.5 | 3 | GROUP |
45 | 153 | 13.4 | 1 | GROUP |
45 | 152 | 21.8 | 0 | ONLINE |
41 | 173 | 15.4 | 1 | ONLINE |
48 | 169 | 14.8 | 0 | ONLINE |
38 | 142 | 17.9 | 3 | NONE |
Y = 42.4108 + 0.0453X1 -0.3885X2 - 0.5703X3
Regression Analysis | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.3328 | |||||||
R Square | 0.1108 | |||||||
Adjusted R Square | 0.0830 | |||||||
Standard Error | 4.8233 | |||||||
Observations | 100 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 3 | 278.1889 | 92.7296 | 3.9859 | 0.0101 | |||
Residual | 96 | 2233.3711 | 23.2643 | |||||
Total | 99 | 2511.5600 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95% | Upper 95% | |
Intercept | 42.4108 | 7.8113 | 5.4294 | 0.0000 | 26.9055 | 57.9162 | 26.9055 | 57.9162 |
Calls (X1) | 0.0453 | 0.0306 | 1.4774 | 0.1429 | -0.0156 | 0.1061 | -0.0156 | 0.1061 |
Time (X2) | -0.3885 | 0.2509 | -1.5482 | 0.1249 | -0.8865 | 0.1096 | -0.8865 | 0.1096 |
Years (X3) | -0.5703 | 0.3936 | -1.4490 | 0.1506 | -1.3515 | 0.2110 | -1.3515 | 0.2110 |
Rather than testing each β individually, we use a global test that encompasses all β’s and test the following overall hypothesis:
H0 : β1 = β2 = ... = βk = 0
Ha : at least one βj 0.
The test statistic to test this hypothesis is called F−statistic and is calculated as:
Putting all values from above ANOVA regression, we get :
F = 3.9874
F (3,96) at = 5% is 2.6993