An engineer at a company wants to model the relationship between the yield (y) and three variables: pressure (x1), volume (x2) and temperature (x3). Data is collected and the output of the statistical analysis is displayed table below. i. From appropriate statistical tests, determine the relationship between yield and the three variables, Use a 5% significance level where required.

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An engineer at a company wants to model the relationship between the yield (y) and three variables: pressure (x1), volume (x2) and temperature (x3). Data is collected and the output of the statistical analysis is displayed table below. i. From appropriate statistical tests, determine the relationship between yield and the three variables, Use a 5% significance level where required.
The regression output
Predictor
Constant
Coef
47.82
-9.604
SE Coef
49.94
3.723
T.
0.96
-2.58
0.4152
0.2261
1.84
18.294
1.323
13.82
S 3.48
R-squared = 0.994
Source
Regression
Analysis of Variance
Df
3
16
SS
30532
194
MS
10177 840.55
12
Residual Error
Total
19
30726
Transcribed Image Text:The regression output Predictor Constant Coef 47.82 -9.604 SE Coef 49.94 3.723 T. 0.96 -2.58 0.4152 0.2261 1.84 18.294 1.323 13.82 S 3.48 R-squared = 0.994 Source Regression Analysis of Variance Df 3 16 SS 30532 194 MS 10177 840.55 12 Residual Error Total 19 30726
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