Data for Exercise 9.8

Rainks

## Format

A data frame/tibble with 35 observations on five variables

rain

rainfall (in inches)

x1

rainfall (in inches)

x2

rainfall (in inches)

x3

rainfall (in inches)

x4

rainfall (in inches)

## Source

R. Picard, K. Berk (1990), Data Splitting, The American Statistician, 44, (2), 140-147.

## References

Kitchens, L. J. (2003) Basic Statistics and Data Analysis. Pacific Grove, CA: Brooks/Cole, a division of Thomson Learning.

## Examples


cor(Rainks)
#>           rain        x1        x2        x3        x4
#> rain 1.0000000 0.7932854 0.8184772 0.7479617 0.8176309
#> x1   0.7932854 1.0000000 0.7686657 0.8826127 0.7199976
#> x2   0.8184772 0.7686657 1.0000000 0.7456419 0.7335268
#> x3   0.7479617 0.8826127 0.7456419 1.0000000 0.6384376
#> x4   0.8176309 0.7199976 0.7335268 0.6384376 1.0000000
model <- lm(rain ~ x2, data = Rainks)
summary(model)
#>
#> Call:
#> lm(formula = rain ~ x2, data = Rainks)
#>
#> Residuals:
#>      Min       1Q   Median       3Q      Max
#> -0.94498 -0.21396  0.02443  0.25158  0.79037
#>
#> Coefficients:
#>             Estimate Std. Error t value Pr(>|t|)
#> (Intercept)  0.53216    0.25223   2.110   0.0425 *
#> x2           0.77696    0.09494   8.184  1.9e-09 ***
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#>
#> Residual standard error: 0.4608 on 33 degrees of freedom
#> Multiple R-squared:  0.6699,	Adjusted R-squared:  0.6599
#> F-statistic: 66.97 on 1 and 33 DF,  p-value: 1.897e-09
#>