1. Suppose that you have the following data below: Y 1 3 2 5 7 Using either the linear algebra or summation notation formula, find B and B, the OLS estimates of the model

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1. Suppose that you have the following data below:
Y
1
2
5
3
7
Using either the linear algebra or summation notation formula, find B and R, the OLS estimates of the
model
Transcribed Image Text:1. Suppose that you have the following data below: Y 1 2 5 3 7 Using either the linear algebra or summation notation formula, find B and R, the OLS estimates of the model
2. Suppose you want to estimate the following model:
Reorders; =
ß + R · Productsi + B · Daysi
where Reorders; is the number of reorders. Products; is the number of ordered products. Days; is the
number of days since the last order.
Using Excel, you have the following output:
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.8373
R Square
0.7010
Adjusted R Square
Standard Error
0.6998
3.1710
Observations
500
ANOVA
df
MS
Significance F
Regression
2
11717.33 5858.67
582.66
0.00
Residual
497
4997.38
10.06
Total
499
16714.71
Coefficients Standard Error t Stat
P-value
Lower 95% Upper 95%
Intercept
0.9778
0.3416 2.8623
0.0044
0.3066
1.6489
products
0.6333
0.0188 33.6482 0.0000
0.5963
0.6703
days_since_prior_orde
-0.0653
0.0133 -4.9207
0.0000
-0.0914
-0.0392
(a)
Report regression results, what are B? B? B? What are Standard Errors of B? R? B? What are
their 95% Confidence Intervals?
Transcribed Image Text:2. Suppose you want to estimate the following model: Reorders; = ß + R · Productsi + B · Daysi where Reorders; is the number of reorders. Products; is the number of ordered products. Days; is the number of days since the last order. Using Excel, you have the following output: SUMMARY OUTPUT Regression Statistics Multiple R 0.8373 R Square 0.7010 Adjusted R Square Standard Error 0.6998 3.1710 Observations 500 ANOVA df MS Significance F Regression 2 11717.33 5858.67 582.66 0.00 Residual 497 4997.38 10.06 Total 499 16714.71 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 0.9778 0.3416 2.8623 0.0044 0.3066 1.6489 products 0.6333 0.0188 33.6482 0.0000 0.5963 0.6703 days_since_prior_orde -0.0653 0.0133 -4.9207 0.0000 -0.0914 -0.0392 (a) Report regression results, what are B? B? B? What are Standard Errors of B? R? B? What are their 95% Confidence Intervals?
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