Question
Use these regression results for all of the questions. SUMMARY OUTPUT Regression Statistics Multiple R 0.996580178 R Square 0.993172052 Adjusted R Square 0.99154635 Standard Error
Use these regression results for all of the questions.
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.996580178 | |||||||
R Square | 0.993172052 | |||||||
Adjusted R Square | 0.99154635 | |||||||
Standard Error | 17.65887216 | |||||||
Observations | 27 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 5 | 952531.8008 | 190506.3602 | 610.9188905 | 5.45944E-22 | |||
Residual | 21 | 6548.551085 | 311.835766 | |||||
Total | 26 | 959080.3519 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 90.0% | Upper 90.0% | |
Intercept | -18.89004058 | 30.17276876 | -0.626062551 | 0.538019899 | -81.63774823 | 43.85766707 | -70.80961828 | 33.02953712 |
Store size (sq ft) | 16.19810642 | 3.546095704 | 4.56787063 | 0.000167222 | 8.823596696 | 23.57261614 | 10.0961874 | 22.30002543 |
Inventory in ($) | 0.174560026 | 0.05764254 | 3.028319481 | 0.00639381 | 0.054685802 | 0.294434249 | 0.075372035 | 0.273748016 |
Ad Spending ($) | 11.53854332 | 2.535360595 | 4.551046248 | 0.00017407 | 6.265972329 | 16.81111432 | 7.175839574 | 15.90124707 |
# families | 13.58115172 | 1.771782398 | 7.665248133 | 1.62285E-07 | 9.896528512 | 17.26577492 | 10.53236973 | 16.6299337 |
# of competing stores | -5.31056871 | 1.706561037 | -3.111853953 | 0.005276862 | -8.85955667 | -1.76158075 | -8.247121503 | -2.374015917 |
1. Is the coefficient on ad spending significant at the 0.05 significance level? Why?
Yes, because the p-value is greater than 0.05
No, because the p-value is greater than 0.05
No, because the p-value is less than 0.05
Yes, because the p-value is less than 0.05
2. Which is the correct model?
Sales = 0.99+0.99(store size)+17.66(inventory)+27(ad spending)+5(# of families)+43.86(# of competing stores)
Sales = 30.17+3.55(store size)+0.06(inventory)+2.54(ad spending)+1.77(# of families)+1.71(# of competing stores)
Sales = -18.89+30.17(standard error)-0.62(t-stat)+0.54(p-value)
Sales = -18.89+16.20(store size)+0.17(inventory)+11.54(ad spending)+13.58(# of families)-5.31(# of competing stores)
3. What is the impact of more competing stores?
Sales will go down.
Sales will go up.
Sales will stay the same.
4. If they increased store size by 100 square feet, how much would sales go up?
$3546
$4568
$0.16
$1620
5. If they increased inventory by $1000, how much would sales change?
Go down by 99%
Go up by 99%
Go up by $175
Go down by $175
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