## Store Date Weekly_Sales Holiday_Flag
## Min. : 1 Length:6435 Min. : 209986 Min. :0.00000
## 1st Qu.:12 Class :character 1st Qu.: 553350 1st Qu.:0.00000
## Median :23 Mode :character Median : 960746 Median :0.00000
## Mean :23 Mean :1046965 Mean :0.06993
## 3rd Qu.:34 3rd Qu.:1420159 3rd Qu.:0.00000
## Max. :45 Max. :3818686 Max. :1.00000
## Temperature Fuel_Price CPI Unemployment
## Min. : -2.06 Min. :2.472 Min. :126.1 Min. : 3.879
## 1st Qu.: 47.46 1st Qu.:2.933 1st Qu.:131.7 1st Qu.: 6.891
## Median : 62.67 Median :3.445 Median :182.6 Median : 7.874
## Mean : 60.66 Mean :3.359 Mean :171.6 Mean : 7.999
## 3rd Qu.: 74.94 3rd Qu.:3.735 3rd Qu.:212.7 3rd Qu.: 8.622
## Max. :100.14 Max. :4.468 Max. :227.2 Max. :14.313
## Store Date Weekly_Sales Holiday_Flag
## 1 : 143 Length:6435 Min. : 209986 0:5985
## 2 : 143 Class :character 1st Qu.: 553350 1: 450
## 3 : 143 Mode :character Median : 960746
## 4 : 143 Mean :1046965
## 5 : 143 3rd Qu.:1420159
## 6 : 143 Max. :3818686
## (Other):5577
## Temperature Fuel_Price CPI Unemployment
## Min. : -2.06 Min. :2.472 Min. :126.1 Min. : 3.879
## 1st Qu.: 47.46 1st Qu.:2.933 1st Qu.:131.7 1st Qu.: 6.891
## Median : 62.67 Median :3.445 Median :182.6 Median : 7.874
## Mean : 60.66 Mean :3.359 Mean :171.6 Mean : 7.999
## 3rd Qu.: 74.94 3rd Qu.:3.735 3rd Qu.:212.7 3rd Qu.: 8.622
## Max. :100.14 Max. :4.468 Max. :227.2 Max. :14.313
##
## random
## Min. :0.0000653
## 1st Qu.:0.2527042
## Median :0.4945870
## Mean :0.4980825
## 3rd Qu.:0.7453083
## Max. :0.9999414
##
## tibble [6,435 × 9] (S3: tbl_df/tbl/data.frame)
## $ Store : Factor w/ 45 levels "1","2","3","4",..: 1 1 1 1 1 1 1 1 1 1 ...
## $ Date : chr [1:6435] "05-02-2010" "12-02-2010" "19-02-2010" "26-02-2010" ...
## $ Weekly_Sales: num [1:6435] 1643691 1641957 1611968 1409728 1554807 ...
## $ Holiday_Flag: Factor w/ 2 levels "0","1": 1 2 1 1 1 1 1 1 1 1 ...
## $ Temperature : num [1:6435] 42.3 38.5 39.9 46.6 46.5 ...
## $ Fuel_Price : num [1:6435] 2.57 2.55 2.51 2.56 2.62 ...
## $ CPI : num [1:6435] 211 211 211 211 211 ...
## $ Unemployment: num [1:6435] 8.11 8.11 8.11 8.11 8.11 ...
## $ random : num [1:6435] 0.288 0.788 0.409 0.883 0.94 ...
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0000653 0.2527042 0.4945870 0.4980825 0.7453083 0.9999414
##
## Call:
## lm(formula = Weekly_Sales ~ . - Date, data = trainlm)
##
## Residuals:
## Min 1Q Median 3Q Max
## -513804 -69546 -11882 39468 1823766
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1357543.2 278781.6 4.870 1.16e-06 ***
## Store2 351630.2 22573.7 15.577 < 2e-16 ***
## Store3 -1180716.9 23170.7 -50.957 < 2e-16 ***
## Store4 716535.6 116599.9 6.145 8.68e-10 ***
## Store5 -1282576.3 24140.1 -53.131 < 2e-16 ***
## Store6 -42348.2 23255.9 -1.821 0.068679 .
## Store7 -946003.2 35215.5 -26.863 < 2e-16 ***
## Store8 -699172.6 23983.0 -29.153 < 2e-16 ***
## Store9 -1068955.1 23877.8 -44.768 < 2e-16 ***
## Store10 628887.4 112929.0 5.569 2.71e-08 ***
## Store11 -217449.3 23756.1 -9.153 < 2e-16 ***
## Store12 -160159.8 105614.7 -1.516 0.129475
## Store13 665390.8 114607.5 5.806 6.85e-09 ***
## Store14 541155.6 43009.0 12.582 < 2e-16 ***
## Store15 -711503.8 105846.8 -6.722 2.02e-11 ***
## Store16 -1033264.4 39281.3 -26.304 < 2e-16 ***
## Store17 -482891.3 115651.4 -4.175 3.03e-05 ***
## Store18 -236188.4 103207.7 -2.288 0.022156 *
## Store19 88916.7 105944.5 0.839 0.401359
## Store20 568352.9 25871.2 21.969 < 2e-16 ***
## Store21 -815160.0 22958.8 -35.505 < 2e-16 ***
## Store22 -323211.6 100196.3 -3.226 0.001265 **
## Store23 -29770.2 113150.0 -0.263 0.792482
## Store24 27496.8 104872.5 0.262 0.793185
## Store25 -847649.9 25399.5 -33.373 < 2e-16 ***
## Store26 -359445.5 105525.4 -3.406 0.000664 ***
## Store27 439229.1 101050.9 4.347 1.41e-05 ***
## Store28 139953.5 105779.4 1.323 0.185880
## Store29 -750276.3 101676.3 -7.379 1.89e-13 ***
## Store30 -1122743.3 22425.9 -50.065 < 2e-16 ***
## Store31 -158464.1 22737.4 -6.969 3.65e-12 ***
## Store32 -332244.3 35092.7 -9.468 < 2e-16 ***
## Store33 -1023329.2 112745.7 -9.076 < 2e-16 ***
## Store34 -312719.9 107897.4 -2.898 0.003770 **
## Store35 -415109.3 98516.6 -4.214 2.56e-05 ***
## Store36 -1180433.3 23588.0 -50.044 < 2e-16 ***
## Store37 -1035121.3 22767.4 -45.465 < 2e-16 ***
## Store38 -796167.5 105624.2 -7.538 5.75e-14 ***
## Store39 -86778.8 23088.3 -3.759 0.000173 ***
## Store40 -455869.6 113041.5 -4.033 5.60e-05 ***
## Store41 -279251.2 37950.0 -7.358 2.20e-13 ***
## Store42 -730734.7 113110.0 -6.460 1.16e-10 ***
## Store43 -857065.6 25926.2 -33.058 < 2e-16 ***
## Store44 -1056135.9 115347.2 -9.156 < 2e-16 ***
## Store45 -676430.4 43141.6 -15.679 < 2e-16 ***
## Holiday_Flag1 75352.5 9602.9 7.847 5.30e-15 ***
## Temperature -904.9 159.4 -5.677 1.46e-08 ***
## Fuel_Price -42007.4 8681.7 -4.839 1.35e-06 ***
## CPI 2692.5 1262.7 2.132 0.033030 *
## Unemployment -23933.5 5245.3 -4.563 5.18e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 162300 on 4475 degrees of freedom
## Multiple R-squared: 0.9183, Adjusted R-squared: 0.9174
## F-statistic: 1027 on 49 and 4475 DF, p-value: < 2.2e-16
Interpret 3 predictors
Temperature has by far the smallest level of standard error
Fuel Price and Unemployment rates are estimated to decline
heavily
It is anticipated that the majority of stores will see a deline in
sales over the course of the next calendar year
Adjusted r2 = 0.9174