An article gave the data, shown in the table below, on dimensions of 27 representative food products. Product Material Height Maximum Width Minimum Width Elongation Volume 1 glass 7.7 2.50 1.80 1.50 121 2 glass 6.2 2.90 2.70 1.07 133 3 glass 8.5 2.15 2.00 1.98 180 4 glass 10.4 2.90 2.60 1.79 281 5 plastic 8.0 3.20 3.15 1.25 325 6 glass 8.7 2.00 1.80 2.17 86 7 glass 10.2 1.60 1.50 3.19 120 8 plastic 10.5 4.80 3.80 1.09 520 9 plastic 3.4 5.90 5.00 0.29 335 10 plastic 6.9 5.80 4.75 0.59 575 11 tin 10.9 2.90 2.80 1.88 343 12 plastic 9.7 2.45 2.10 1.98 174 13 glass 10.1 2.60 2.20 1.94 237 14 glass 13.0 2.60 2.60 2.50 242 15 glass 13.0 2.70 2.60 2.41 360 16 glass 11.0 3.10 2.90 1.77 313 17 cardboard 8.7 5.10 5.10 0.85 633 18 cardboard 17.1 10.20 10.20 0.84 1245 19 glass 16.5 3.50 3.50 2.36 646 20 glass 16.5 2.70 1.20 3.06 300 21 glass 9.7 3.00 1.70 1.62 319 22 glass 17.8 2.70 1.75 3.30 303 23 glass 14.0 2.50 1.70 2.80 250 24 glass 13.6 2.40 1.20 2.83 199 25 plastic 27.9 4.40 1.20 3.17 1201 26 tin 19.5 7.50 7.50 1.30 2326 27 tin 13.8 4.25 4.25 1.62 726 (a) Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score. (Round your numerical values to two decimal places. Use x1 for minimum width, x2 for the maximum width and x3 for the elongation score.)    y=    Calculate the test statistic and calculate for the P-value. (Round your answer to two decimal places.) F =  P-value =

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An article gave the data, shown in the table below, on dimensions of 27 representative food products.
Product Material Height Maximum
Width
Minimum
Width
Elongation Volume
1 glass 7.7 2.50 1.80 1.50 121
2 glass 6.2 2.90 2.70 1.07 133
3 glass 8.5 2.15 2.00 1.98 180
4 glass 10.4 2.90 2.60 1.79 281
5 plastic 8.0 3.20 3.15 1.25 325
6 glass 8.7 2.00 1.80 2.17 86
7 glass 10.2 1.60 1.50 3.19 120
8 plastic 10.5 4.80 3.80 1.09 520
9 plastic 3.4 5.90 5.00 0.29 335
10 plastic 6.9 5.80 4.75 0.59 575
11 tin 10.9 2.90 2.80 1.88 343
12 plastic 9.7 2.45 2.10 1.98 174
13 glass 10.1 2.60 2.20 1.94 237
14 glass 13.0 2.60 2.60 2.50 242
15 glass 13.0 2.70 2.60 2.41 360
16 glass 11.0 3.10 2.90 1.77 313
17 cardboard 8.7 5.10 5.10 0.85 633
18 cardboard 17.1 10.20 10.20 0.84 1245
19 glass 16.5 3.50 3.50 2.36 646
20 glass 16.5 2.70 1.20 3.06 300
21 glass 9.7 3.00 1.70 1.62 319
22 glass 17.8 2.70 1.75 3.30 303
23 glass 14.0 2.50 1.70 2.80 250
24 glass 13.6 2.40 1.20 2.83 199
25 plastic 27.9 4.40 1.20 3.17 1201
26 tin 19.5 7.50 7.50 1.30 2326
27 tin 13.8 4.25 4.25 1.62 726
(a)
Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score. (Round your numerical values to two decimal places. Use x1 for minimum width, x2 for the maximum width and x3 for the elongation score.)
   y= 
 
Calculate the test statistic and calculate for the P-value. (Round your answer to two decimal places.)
F = 
P-value = 
 
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