Obtain a data set that has one dependent variable and at least several independe
ID: 3251990 • Letter: O
Question
Obtain a data set that has one dependent variable and at least several independent variables. Your data set should have more than 30 observations. Run a multiple regression and interpret results
Cost
Sales
Orders
52.95
386
4015
71.66
446
3806
85.58
512
5309
63.69
401
4262
72.81
457
4296
68.44
458
4097
52.46
301
3213
70.77
484
4809
82.03
517
5237
74.39
503
4732
70.84
535
4413
54.08
353
2921
62.98
372
3977
72.3
328
4428
58.99
408
3964
79.38
491
4582
94.44
527
5582
59.74
444
3450
90.5
623
5079
93.24
596
5735
69.33
463
4269
53.71
389
3708
89.18
547
5387
66.8
415
4161
Cost
Sales
Orders
52.95
386
4015
71.66
446
3806
85.58
512
5309
63.69
401
4262
72.81
457
4296
68.44
458
4097
52.46
301
3213
70.77
484
4809
82.03
517
5237
74.39
503
4732
70.84
535
4413
54.08
353
2921
62.98
372
3977
72.3
328
4428
58.99
408
3964
79.38
491
4582
94.44
527
5582
59.74
444
3450
90.5
623
5079
93.24
596
5735
69.33
463
4269
53.71
389
3708
89.18
547
5387
66.8
415
4161
Explanation / Answer
Here sales are dependent variable and two independent variables first cost and second Orders.
I have used excel regression function for the given data.
The regression Output is
Here we can see from ANOVA table that regression is significant as F - value is greater than critical F.Besides that we can see that only cost variable regression coefficient is significant here and the " orders" regression coefficient is not significant here.
The regression equation is
Sales = 65.64 + 4.32 * Cost + 0.01884 * Orders
SUMMARY OUTPUT Regression Statistics Multiple R 0.844797 R Square 0.713682 Adjusted R Square 0.686414 Standard Error 45.65697 Observations 24 ANOVA df SS MS F Significance F Regression 2 109116.3 54558.13 26.1725 1.98E-06 Residual 21 43775.75 2084.559 Total 23 152892 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 65.64218 57.50663 1.141471 0.266523 -53.9494 185.2338 -53.9494 185.2338 Cost 4.323394 1.865387 2.317693 0.030644 0.444109 8.202679 0.444109 8.202679 Orders 0.01884 0.032722 0.575749 0.570904 -0.04921 0.08689 -0.04921 0.08689Related Questions
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