예제
다룰 데이타는 dataset::mtcars
입니다. 기술통계값은 다음과 같습니다.
head(mtcars)
Mazda RX4 |
21.0 |
6 |
160 |
110 |
3.90 |
2.620 |
16.46 |
0 |
1 |
4 |
4 |
Mazda RX4 Wag |
21.0 |
6 |
160 |
110 |
3.90 |
2.875 |
17.02 |
0 |
1 |
4 |
4 |
Datsun 710 |
22.8 |
4 |
108 |
93 |
3.85 |
2.320 |
18.61 |
1 |
1 |
4 |
1 |
Hornet 4 Drive |
21.4 |
6 |
258 |
110 |
3.08 |
3.215 |
19.44 |
1 |
0 |
3 |
1 |
Hornet Sportabout |
18.7 |
8 |
360 |
175 |
3.15 |
3.440 |
17.02 |
0 |
0 |
3 |
2 |
Valiant |
18.1 |
6 |
225 |
105 |
2.76 |
3.460 |
20.22 |
1 |
0 |
3 |
1 |
broom::tidy(mtcars)
mpg |
32 |
20.090625 |
6.0269481 |
19.200 |
19.6961538 |
5.4114900 |
10.400 |
33.900 |
23.500 |
0.6106550 |
-0.3727660 |
1.0654240 |
cyl |
32 |
6.187500 |
1.7859216 |
6.000 |
6.2307692 |
2.9652000 |
4.000 |
8.000 |
4.000 |
-0.1746119 |
-1.7621198 |
0.3157093 |
disp |
32 |
230.721875 |
123.9386938 |
196.300 |
222.5230769 |
140.4763500 |
71.100 |
472.000 |
400.900 |
0.3816570 |
-1.2072119 |
21.9094727 |
hp |
32 |
146.687500 |
68.5628685 |
123.000 |
141.1923077 |
77.0952000 |
52.000 |
335.000 |
283.000 |
0.7260237 |
-0.1355511 |
12.1203173 |
drat |
32 |
3.596563 |
0.5346787 |
3.695 |
3.5792308 |
0.7042350 |
2.760 |
4.930 |
2.170 |
0.2659039 |
-0.7147006 |
0.0945187 |
wt |
32 |
3.217250 |
0.9784574 |
3.325 |
3.1526923 |
0.7672455 |
1.513 |
5.424 |
3.911 |
0.4231465 |
-0.0227108 |
0.1729685 |
qsec |
32 |
17.848750 |
1.7869432 |
17.710 |
17.8276923 |
1.4158830 |
14.500 |
22.900 |
8.400 |
0.3690453 |
0.3351142 |
0.3158899 |
vs |
32 |
0.437500 |
0.5040161 |
0.000 |
0.4230769 |
0.0000000 |
0.000 |
1.000 |
1.000 |
0.2402577 |
-2.0019376 |
0.0890983 |
am |
32 |
0.406250 |
0.4989909 |
0.000 |
0.3846154 |
0.0000000 |
0.000 |
1.000 |
1.000 |
0.3640159 |
-1.9247414 |
0.0882100 |
gear |
32 |
3.687500 |
0.7378041 |
4.000 |
3.6153846 |
1.4826000 |
3.000 |
5.000 |
2.000 |
0.5288545 |
-1.0697507 |
0.1304266 |
carb |
32 |
2.812500 |
1.6152000 |
2.000 |
2.6538462 |
1.4826000 |
1.000 |
8.000 |
7.000 |
1.0508738 |
1.2570431 |
0.2855297 |
차의 중량과 연비와의 관계를 그림으로 그리면 다음과 같습니다.
beginr::plotlm(x = mtcars$wt, y = mtcars$mpg, xlab = 'wt', ylab = 'mpg', plot.title = 'mtcars')
## [[1]]
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 37.285126 1.877627 19.857575 8.241799e-19
## x -5.344472 0.559101 -9.559044 1.293959e-10
##
## [[2]]
## [1] 0.7528328
p <- ggplot(mtcars, aes(wt, mpg, label = rownames(mtcars)))
p +
geom_point() +
geom_text(vjust = 0, nudge_y = 0.5) +
geom_text(aes(label = paste0(wt, "^(", mpg, ")")), parse = TRUE)
lmfit <- stats::lm(formula = mpg ~ wt, data = mtcars)
lmfit
##
## Call:
## stats::lm(formula = mpg ~ wt, data = mtcars)
##
## Coefficients:
## (Intercept) wt
## 37.285 -5.344
summary(lmfit)
##
## Call:
## stats::lm(formula = mpg ~ wt, data = mtcars)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.5432 -2.3647 -0.1252 1.4096 6.8727
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 37.2851 1.8776 19.858 < 2e-16 ***
## wt -5.3445 0.5591 -9.559 1.29e-10 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 3.046 on 30 degrees of freedom
## Multiple R-squared: 0.7528, Adjusted R-squared: 0.7446
## F-statistic: 91.38 on 1 and 30 DF, p-value: 1.294e-10
broom::tidy(lmfit)
(Intercept) |
37.285126 |
1.877627 |
19.857575 |
0 |
wt |
-5.344472 |
0.559101 |
-9.559044 |
0 |
broom::augment(lmfit)
Mazda RX4 |
21.0 |
2.620 |
23.282611 |
0.6335798 |
-2.2826106 |
0.0432690 |
3.067494 |
0.0132741 |
-0.7661677 |
Mazda RX4 Wag |
21.0 |
2.875 |
21.919770 |
0.5714319 |
-0.9197704 |
0.0351968 |
3.093068 |
0.0017240 |
-0.3074305 |
Datsun 710 |
22.8 |
2.320 |
24.885952 |
0.7359177 |
-2.0859521 |
0.0583757 |
3.072127 |
0.0154394 |
-0.7057525 |
Hornet 4 Drive |
21.4 |
3.215 |
20.102650 |
0.5384424 |
1.2973499 |
0.0312502 |
3.088268 |
0.0030206 |
0.4327511 |
Hornet Sportabout |
18.7 |
3.440 |
18.900144 |
0.5526562 |
-0.2001440 |
0.0329218 |
3.097722 |
0.0000760 |
-0.0668188 |
Valiant |
18.1 |
3.460 |
18.793254 |
0.5552829 |
-0.6932545 |
0.0332355 |
3.095184 |
0.0009211 |
-0.2314831 |
Duster 360 |
14.3 |
3.570 |
18.205363 |
0.5734244 |
-3.9053627 |
0.0354426 |
3.008664 |
0.0313139 |
-1.3055222 |
Merc 240D |
24.4 |
3.190 |
20.236262 |
0.5386565 |
4.1637381 |
0.0312750 |
2.996697 |
0.0311392 |
1.3888971 |
Merc 230 |
22.8 |
3.150 |
20.450041 |
0.5397522 |
2.3499593 |
0.0314024 |
3.066058 |
0.0099619 |
0.7839269 |
Merc 280 |
19.2 |
3.440 |
18.900144 |
0.5526562 |
0.2998560 |
0.0329218 |
3.097435 |
0.0001706 |
0.1001080 |
Merc 280C |
17.8 |
3.440 |
18.900144 |
0.5526562 |
-1.1001440 |
0.0329218 |
3.090979 |
0.0022962 |
-0.3672871 |
Merc 450SE |
16.4 |
4.070 |
15.533127 |
0.7191881 |
0.8668731 |
0.0557518 |
3.093520 |
0.0025325 |
0.2928865 |
Merc 450SL |
17.3 |
3.730 |
17.350247 |
0.6100029 |
-0.0502472 |
0.0401086 |
3.097938 |
0.0000059 |
-0.0168379 |
Merc 450SLC |
15.2 |
3.780 |
17.083024 |
0.6236291 |
-1.8830236 |
0.0419205 |
3.077286 |
0.0087273 |
-0.6315997 |
Cadillac Fleetwood |
10.4 |
5.250 |
9.226650 |
1.2576087 |
1.1733496 |
0.1704766 |
3.088702 |
0.0183826 |
0.4229607 |
Lincoln Continental |
10.4 |
5.424 |
8.296712 |
1.3461693 |
2.1032876 |
0.1953319 |
3.067203 |
0.0719252 |
0.7697987 |
Chrysler Imperial |
14.7 |
5.345 |
8.718926 |
1.3058069 |
5.9810744 |
0.1837942 |
2.843585 |
0.5319056 |
2.1735331 |
Fiat 128 |
32.4 |
2.200 |
25.527289 |
0.7831923 |
6.8727113 |
0.0661166 |
2.802362 |
0.1929858 |
2.3349021 |
Honda Civic |
30.4 |
1.615 |
28.653805 |
1.0451849 |
1.7461954 |
0.1177498 |
3.078657 |
0.0248603 |
0.6103569 |
Toyota Corolla |
33.9 |
1.835 |
27.478021 |
0.9418946 |
6.4219792 |
0.0956265 |
2.832808 |
0.2598750 |
2.2170827 |
Toyota Corona |
21.5 |
2.465 |
24.111004 |
0.6832345 |
-2.6110037 |
0.0503168 |
3.057740 |
0.0204982 |
-0.8796401 |
Dodge Challenger |
15.5 |
3.520 |
18.472586 |
0.5644203 |
-2.9725862 |
0.0343383 |
3.046600 |
0.0175365 |
-0.9931363 |
AMC Javelin |
15.2 |
3.435 |
18.926866 |
0.5520329 |
-3.7268663 |
0.0328476 |
3.016967 |
0.0262873 |
-1.2441801 |
Camaro Z28 |
13.3 |
3.840 |
16.762355 |
0.6412083 |
-3.4623553 |
0.0443172 |
3.027336 |
0.0313496 |
-1.1627910 |
Pontiac Firebird |
19.2 |
3.845 |
16.735633 |
0.6427306 |
2.4643670 |
0.0445279 |
3.062374 |
0.0159643 |
0.8277197 |
Fiat X1-9 |
27.3 |
1.935 |
26.943574 |
0.8965906 |
0.3564263 |
0.0866487 |
3.097178 |
0.0007112 |
0.1224441 |
Porsche 914-2 |
26.0 |
2.140 |
25.847957 |
0.8078823 |
0.1520430 |
0.0703510 |
3.097814 |
0.0001014 |
0.0517719 |
Lotus Europa |
30.4 |
1.513 |
29.198941 |
1.0944578 |
1.2010593 |
0.1291136 |
3.088720 |
0.0132349 |
0.4225427 |
Ford Pantera L |
15.8 |
3.170 |
20.343151 |
0.5390886 |
-4.5431513 |
0.0313252 |
2.977005 |
0.0371361 |
-1.5154971 |
Ferrari Dino |
19.7 |
2.770 |
22.480940 |
0.5936730 |
-2.7809399 |
0.0379899 |
3.052884 |
0.0171095 |
-0.9308693 |
Maserati Bora |
15.0 |
3.570 |
18.205363 |
0.5734244 |
-3.2053627 |
0.0354426 |
3.038092 |
0.0210945 |
-1.0715194 |
Volvo 142E |
21.4 |
2.780 |
22.427495 |
0.5913398 |
-1.0274952 |
0.0376919 |
3.091840 |
0.0023159 |
-0.3438822 |
broom::glance(lmfit)
0.7528328 |
0.7445939 |
3.045882 |
91.37533 |
0 |
2 |
-80.01471 |
166.0294 |
170.4266 |
278.3219 |
30 |