Rainfall in an area of west central Kansas and four surrounding counties

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
#>