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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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