Linear Regression and Simple Exponential Smoothing (SES) Forecasting
Mod 2 Case - LR - Year 1
| New Star Grocery Company | Insert chart here | ||||||||||||
| Year 1 | Customers | Sales ($000) | Number | Month | Customers (x) | Sales (y) | XY | X2 | Y2 | ||||
| January | 185 | 230 | 1 | January | 185 | 230 | 42,550.0 | 34,225 | 52,900.00 | ||||
| February | 241 | 301 | 2 | February | 241 | 301 | 72,541.0 | 58,081 | 90,601.00 | ||||
| March | 374 | 310 | 3 | March | 374 | 310 | 115,940.0 | 139,876 | 96,100.00 | ||||
| April | 421 | 389 | 4 | April | 421 | 389 | 163,769.0 | 177,241 | 151,321.00 | ||||
| May | 425 | 421 | 5 | May | 425 | 421 | 178,925.0 | 180,625 | 177,241.00 | ||||
| June | 259 | 300 | 6 | June | 259 | 300 | 77,700.0 | 67,081 | 90,000.00 | ||||
| July | 298 | 318 | 7 | July | 298 | 318 | 94,764.0 | 88,804 | 101,124.00 | ||||
| August | 321 | 298 | 8 | August | 321 | 298 | 95,658.0 | 103,041 | 88,804.00 | ||||
| September | 215 | 202 | 9 | September | 215 | 202 | 43,430.0 | 46,225 | 40,804.00 | ||||
| October | 282 | 265 | 10 | October | 282 | 265 | 74,730.0 | 79,524 | 70,225.00 | ||||
| November | 235 | 312 | 11 | November | 235 | 312 | 73,320.0 | 55,225 | 97,344.00 | ||||
| December | 300 | 298 | 12 | December | 300 | 298 | 89,400.0 | 90,000 | 88,804.00 | ||||
| Totals | 3556 | 3644 | 1,122,727.0 | 1,119,948 | 1,145,268.00 | ||||||||
| Mean | 296 | 303.67 | |||||||||||
| X-bar | Y-bar | ||||||||||||
| b1 | 0.6480 | ||||||||||||
| b0 | 111.65 | ||||||||||||
| Y=111.65+ 0.6480*x |
Scatter Plot
Sales (y)185 241 374 421 425 259 298 321 215 282 235 300 230 301 310 389 421 300 318 298 202 265 312 298
Customers
Sales
Year 2 Forecast
| New Star Grocery Company | ||||||||||
| Sales | ||||||||||
| b1 | 0.6480 | Year 2 | Customers (x) | Actual Y(t) | Forecast F(t) | Variance | ||||
| b0 | 111.65 | January | 215 | 251 | -251.0 | |||||
| February | 259 | 279 | -279.5 | |||||||
| Y= b0+ b1x | March | 325 | 322 | -322.2 | ||||||
| April | 354 | 341 | -341.0 | |||||||
| May | 258 | 279 | -278.8 | |||||||
| June | 199 | 241 | -240.6 | |||||||
| July | 254 | 276 | -276.2 | |||||||
| August | 299 | 305 | -305.4 | |||||||
| September | 264 | 283 | -282.7 | |||||||
| October | 198 | 240 | -239.9 | |||||||
| November | 223 | 256 | -256.1 | |||||||
| December | 261 | 281 | -280.8 | |||||||
| Totals | 259.08 | ERROR:#DIV/0! | 279.53 | -279.53 | ||||||