Identify the following:

a. The P-value corresponding to the overall significance of the multiple regression equation

b. The value of the multiple coefficient of determination R²

c. The adjusted value of R²

Refer to the Minitab display and answer the given questions or identify the indicated items. The Minitab display is based on the measured amounts of tar, carbon monoxide (CO), and nicotine in a sample of 25 king size cigarettes listed in Data Set 4 in Appendix B.

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MINITAB The regression equation is Nicotine 1.59 +0.0231 Tar Predictor Constant Coef SE Coef 1.5937 0.7931 Tar 0.02310 0.01560 -0.05251 0.05386 со $ - 0.230864 R-Sq 9.9% Analysis of Variance Source DF SS Regression 2 0.12904 Residual Error. 22 1.17256 Total 24 1.30160 0.0525 co T P 2.01 0.057 1.48 0.153 -0.98 0.340 R-Sq (adj) - 1.7% F Р MS 0.06452 1.21 0.317 0.05330 Data Set 4: Cigarette Tar, Nicotine, and Carbon Monoxide All measurements are in milligrams per cigarette. CO denotes carbon monoxide. The king size ciga- rettes are nonfiltered, nonmenthol, and non-light. The menthol cigarettes are 100 mm long, filtered, and non-light. The cigarettes in the third group are 100 mm long, filtered, nonmenthol, and non- light. Data are from the Federal Trade Commission. Brand Austin Basic Bristol Cardinal Cavalier STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: Class A Doral GPC Highway Jacks Marker Monaco Monarch King Size Tar Nicotine Co 20 1.1 16 16 16 16 27 27 20 20 Chesterfield 24 Cimarron 20 23 20 22 20 20 20 20 20 Old Gold Pall Mall Pilot Prime Pyramid Raleigh Extra 23 25 Sebring Summit Sundance Worth 10 24 20 21 20 22 20 20 PVn=41410 12 uuuuu 18 16 11 12 15 13 13nn 1.7 1.7 1.1 1.1 1.1 1.1 1.1 1.1 1.1 Data set name is Cigaret. Worksheet name is CIGARET.MTW. Workbook name is CIGARET.XLS. App name is CIGARET and the file names are the same as for text files. KGTAR, KGNIC, KGCO, MNTAR, MNNIC, MNCO, FLTAR, FLNIC, FLCO (where KG denotes the king size cigarettes, MN denotes the menthol cigarettes, and FL denotes the filtered cigarettes that are not menthol types). 1.1 16 17 16 15 16 14 16 16 16 16 16 14 16 16 14 18 15 16 14 16 16 Brand Alpine Austin Basic Belair Best Value Cavalier Doral Focus GPC Highway Jacks Kool Legend Marker Maverick Merit Newport Now Pilot Players Prime Pyramid Salem True Vantage Menthol Tar Nicotine CO 16 13 16 1.1 0.8 1.0 9 0.9 14 0.8 13 0.8 12 0.8 14 0.8 14 0.9 13 0.8 13 0.8 16 1.2 13 13 18 9 19 | 15 14 2 0.2 14 0.8 13 0.8 5668 0.8 1.3 0.7 1.4 16 1.0 0.8 15 0.8 1.2 0.6 0.7 15 17 19 9 17 17 15 17 15 PVV5VVB=8374522679 17 17 15 17 17 18 11 18 17 14 15 16 Filtered 100 mm Non-menthol Brand Barclay Basic Camel Highway Jacks Kent Lark Marlboro Maverick Merit Monaco Monarch Mustang Newport Now Old Gold Pall Mall Pilot Players Prime Raleigh Tareyton True Viceroy Winston Tar Nicotine co 5 4 16 17 ≥334151515933315255341516157715 0.4 1.0 1.2 0.8 0.8 1.0 1.1 1.1 1.1 0.8 0.8 0.8 0.8 1.0 0.2 1.1 1.0 0.8 1.0 0.9 1.1 1.1 0.6 1.3 1.1 19 y7BB31715151287863815815715 15716 14