# p4.18: Data Set for Problem 4-18 In MPV: Data Sets from Montgomery, Peck and Vining

## Description

The `p4.18` data frame has 13 observations on an experiment to produce a synthetic analogue to jojoba oil.

## Usage

 `1` ```data(p4.18) ```

## Format

This data frame contains the following columns:

x1

reaction temperature

x2

initial amount of catalyst

x3

pressure

y

yield

## Source

Montgomery, D.C., Peck, E.A., and Vining, C.G. (2001) Introduction to Linear Regression Analysis. 3rd Edition, John Wiley and Sons.

## References

Coteron, Sanchez, Matinez, and Aracil (1993) Optimization of the Synthesis of an Analogue of Jojoba Oil Using a Fully Central Composite Design. Canadian Journal of Chemical Engineering.

## Examples

 ```1 2 3 4``` ```data(p4.18) y.lm <- lm(y ~ x1 + x2 + x3, data=p4.18) summary(y.lm) y.lm <- lm(y ~ x1, data=p4.18) ```

### Example output

```Attaching package: 'MPV'

The following object is masked from 'package:datasets':

stackloss

Call:
lm(formula = y ~ x1 + x2 + x3, data = p4.18)

Residuals:
Min     1Q Median     3Q    Max
-9.089 -4.075 -2.075  2.558 18.293

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept)   32.075      2.493  12.864 4.25e-07 ***
x1            15.236      3.398   4.484  0.00152 **
x2            -4.059      3.222  -1.260  0.23941
x3            -4.809      3.222  -1.493  0.16973
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 8.79 on 9 degrees of freedom
Multiple R-squared:  0.692,	Adjusted R-squared:  0.5893
F-statistic: 6.739 on 3 and 9 DF,  p-value: 0.01118
```

MPV documentation built on June 8, 2018, 1:03 a.m.