library(dplyr)
library(ggplot2)
library(modelr)
# dataset
sim1
## # A tibble: 30 × 2
## x y
## <int> <dbl>
## 1 1 4.20
## 2 1 7.51
## 3 1 2.13
## 4 2 8.99
## 5 2 10.2
## 6 2 11.3
## 7 3 7.36
## 8 3 10.5
## 9 3 10.5
## 10 4 12.4
## # ℹ 20 more rows
# scatter plot
ggplot(sim1, aes(x,y)) + geom_point()
![](data:image/png;base64,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)
# linear model
mod1 = lm(y ~ x, data = sim1)
#model (all information)
summary(mod1)
##
## Call:
## lm(formula = y ~ x, data = sim1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.1469 -1.5197 0.1331 1.4670 4.6516
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 4.2208 0.8688 4.858 4.09e-05 ***
## x 2.0515 0.1400 14.651 1.17e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.203 on 28 degrees of freedom
## Multiple R-squared: 0.8846, Adjusted R-squared: 0.8805
## F-statistic: 214.7 on 1 and 28 DF, p-value: 1.173e-14
# coefficients
mod1$coefficients
## (Intercept) x
## 4.220822 2.051533
The model predics \(y\) in terms of \(x\) using the following linear relationship:
\[
y = 4.220822 + 2.051533 \cdot x
\]
# visualizing the model
ggplot(sim1, aes(x,y)) +
geom_point() +
geom_abline(intercept = mod1$coefficients[1],
slope = mod1$coefficients[2],
color = "red")
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)
Let’s compute the correlation coefficients:
# correlation coefficients
cor(sim1$x, sim1$y, method = "pearson") # default
## [1] 0.9405384
cor(sim1$x, sim1$y, method = "spearman")
## [1] 0.9526352
cor(sim1$x, sim1$y, method = "kendall")
## [1] 0.8410127
And the correlation of determination:
# coefficient of determination
summary(mod1)$r.squared
## [1] 0.8846124
# or
cor(sim1$x, sim1$y)^2
## [1] 0.8846124