Consider the dataset between a quantitative input variable, ? and a quantitative response (output) variable, ?...

Consider the dataset between a quantitative input variable, ? and a quantitative response (output) variable, ? . Which of the following provides an optimal fit between them - a linear model, a complete quadratic model or a complete third order model?

(Hint: You can use adjusted multiple coefficient of determination, ?2 to determine the optimal?

model. Your answers below must be accompanied by appropriate computation in Excel)?2 value for the linear model = ________________

?2 value for the quadratic model = ________________ [10 points]?

?2 value for the third order model = ________________ [10 points]?

Therefore, the optimal model is (Circle one) Linear Quadratic Third-order

DATA

X (input)	Y (output)
2	26.457
2.4	28.254
2.6	32.287
3.2	45.354
3.6	53.925
3.8	67.066
4.2	82.364
4.5	91.317
4.8	102.530
5.2	127.204
5.7	153.953
6.2	191.203
6.4	174.886
6.7	188.946
6.9	203.006

Expert Solution

thank you

orchestra answered 2 years ago

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