Question

Yield vs temperature. This data set of size n = 15 (Yield.csv) contains measurements of yield from an experiment done at five different temperature levels. The variables are y = yield and x = temperature in degrees Fahrenheit. The table below gives the data used for this analysis. Fit a simple linear model, a quadratic regression model, a cubic regression model, respectively. Which one do you choose as the final model? List your justifications.

i	Temp	Yield
1	50	3.3
2	50	2.8
3	50	2.9
4	70	2.3
5	70	2.6
6	70	2.1
7	80	2.5
8	80	2.9
9	80	2.4
10	90	3
11	90	3.1
12	90	2.8
13	100	3.3
14	100	3.5
15	100	3

Answer 1

I have used MINITAB software

Steps:

1. Enter the data   
2. Stat-regression-Fitted line plot   
3. Select linear,Quadratic,Cubic respectively
4. ok

output

So,

Simple linear model

y=2.306+0.006757x

Quadratic regressiion model

y=7.96-0.1537x+0.001076 x²

Cubic regression model

y=21.05-0.7143x+0.008766x²-0.000034x³

And the list is

• Linear equation
• Cubic equation
• Quadratic equation

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