在 r 中绘制三段式回归线

Plotting three-piece regression lines in r

我正在尝试绘制一个三段式回归模型。回归参数在这里:

qdata=data.frame(breakpoint1=1.092201, breakpoint2=6.153361, slope1=1707, 
slope2=114.6, slope3=-12.09, intercept1=176.6, intercept2=1916, 
intercept3=2696)    

数据在这里:

f=structure(list(weight = c(122, 306, 1040, 1498, 1980, 1980, 1983, 
2060, 2110, 2180, 2180, 2192.5, 2200, 2219.5, 2230, 2256.5, 2260, 
2290, 2300, 2350, 2361, 2370, 2380, 2615, 2724, 1952, 1993, 2029.5, 
2088, 2106, 2100, 2100, 2100, 2160, 2170, 2170, 2180, 2180, 2180, 
2200, 2220, 2220, 2220, 2220, 2220, 2230, 2230, 2240, 2260, 2270, 
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2340, 2340, 2361, 2370, 2380, 2380, 2380, 2388, 2400, 2400, 2400, 
2400, 2410, 2420, 2428.5, 2430, 2460, 2460, 2460, 2460, 2460, 
2480, 2480, 2490, 2490, 2500, 2520, 2520, 2530, 2537.5, 2540, 
2540, 2540, 2550, 2560, 2574, 2590, 2600, 2620, 2640, 2642, 2660, 
2688, 2860, 2906, 27.8, 422.2, 1438.5, 1940, 1960, 1980, 1990, 
2000, 2040, 2050, 2070, 2161, 2200, 2210, 673, 1952, 2210, 2210, 
2240, 2240, 2290, 2300, 2300, 2300, 2330, 2330, 2340, 2350, 2351, 
2360, 2360, 2360, 2390, 2400, 2400, 2420, 2420, 2420, 2420, 2420, 
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2720, 2730, 2740, 2740, 2740, 2760, 2880, 2179, 2361, 2406, 2438, 
2583, 2670, 2929, 1960, 1970, 1980, 1980, 1990, 2020, 2080, 2080, 
2100, 2100, 2110, 2120, 2120, 2130, 2130, 2130, 2140, 2140, 2150, 
2160, 2160, 2170, 2170, 2170, 2175, 2180, 2180, 2180, 2180, 2180, 
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1816, 1861, 1897, 2052, 2240, 2240, 2270, 2270, 2300, 2310, 2330, 
2340, 2350, 2360, 2360, 2380, 2380, 2390, 2395, 2410, 2420, 2420, 
2420, 2420, 2440, 2440, 2460, 2460, 2470, 2470, 2480, 2480, 2480, 
2480, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2520, 2520, 
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2560, 2560, 2560, 2570, 2580, 2580, 2580, 2580, 2580, 2580, 2590, 
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2640, 2640, 2640, 2640, 2640, 2650, 2660, 2660, 2660, 2660, 2660, 
2670, 2670, 2670, 2680, 2700, 2710, 2720, 2720, 2730, 2740, 2740, 
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2880, 2880, 2880, 2880, 2900, 2900, 2920, 2940, 2940, 2940, 2950, 
2950, 2960, 2970, 2980, 2980, 2990, 2990, 2990, 2990, 2990, 3000, 
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2800, 2810, 2810, 2810, 2820, 2840, 2840, 2840, 2840, 2860, 2860, 
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2740, 2760, 2790, 2880), age = c(0.05, 0.13, 0.39, 0.65, 18.54, 
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21.85, 22.92, 12.38, 17.93, 21.31, 23.27, 22.75, 12.55, 13.25, 
23.81, 23.97, 23.98, 24.27, 8.86, 13.64, 19.63, 21.5, 22.02, 
10.11, 15.84, 16.81, 17.77, 23.44, 17.34, 24.42, 8.84, 17.88, 
17.67, 19.49, 19.84, 21.14, 21.79, 18.13, 19.13, 14.5, 22.38, 
11.19, 16.38, 19.32, 20.97, 7.52, 19.71, 20.22, 20.6, 20.79, 
20.02, 9.56, 18.5, 21.68, 14.55, 11.1, 6.38, 15.37, 10.54, 8.35, 
8.22, 0, 0.23, 0.78, 13.84, 11.41, 11.57, 13.67, 13.08, 12.14, 
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8.29, 14.35, 22.47, 22.53, 20.75, 17.4, 21.42, 14.13, 15.4, 18.11, 
19.07, 19.22, 19.41, 20.76, 21.12, 15.83, 10.62, 12.05, 20.74, 
20.96, 13.25, 15.98, 16.88, 17.76, 18.51, 13.64, 15.67, 10.8, 
21.88, 16.59, 17.99, 12.44, 17.01, 18.99, 12.93, 13.83, 15.02, 
10.99, 17.59, 20.41, 11.68, 12.18, 12.18, 16.19, 11.16, 14.8, 
13.09, 14.1, 15.8, 16.8, 18.64, 21.75, 8.51, 18.84, 21.69, 9.47, 
14.41, 13.56, 10.4, 11.55, 13.42, 19.83, 20.62, 4.53, 7.55, 2.96, 
1.96, 5.57, 7.42, 6.81, 15.17, 20.53, 11.1, 16.53, 15.09, 20.3, 
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16.28, 8.95, 20.58, 18.27, 19.18, 25.61, 12.46, 14.12, 16.69, 
25.37, 16.39, 18.05, 20.12, 22.28, 22.37, 23.28, 19.25, 19.99, 
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21.19, 20.7, 8.27, 16.17, 19.55, 25.56, 25.72, 19.59, 22.58, 
23.13, 9, 10.56, 18.88, 18.95, 19.39, 16.02, 16.06, 16.13, 21.39, 
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5.62, 16.08, 17.55, 20.96, 24.7, 17.31, 19.71, 22.04, 16.02, 
21.54, 23.63, 22.93, 24.92, 11.85, 23.95, 24.26, 24.26, 9.67, 
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24.5, 4.37, 12.3, 11.28, 10.17, 11.47, 10.5, 7.04, 9.9, 12.16, 
8.39, 12.91, 3.17, 5.72, 5.87, 5.54, 12.95, 12.05, 8.59, 7.71, 
11.72, 10.82, 0.42, 4.58, 5.12, 15.34, 20.52, 7.23, 17.99, 18.27, 
21.25, 11.47, 14.41, 6.94, 12.16, 18.08, 23.32, 11.28, 24.55, 
3.89, 21.54, 18.18, 15.83, 18.63, 18.53, 23.09, 16.61, 17.45, 
24.03, 13.52, 23.9, 7.06, 23.64, 9.48, 15.96, 16.42, 17.22, 9.32, 
13.21, 16.25, 23.28, 24.42, 23.41, 23.74, 9.15, 13.19, 16.81, 
17.62, 20.7, 24.25, 17.1, 20.13, 23.85, 5.39, 13.98, 23.76, 24.21, 
25.41, 12.96, 8.11, 13.84, 1.57, 24.6, 24.95, 25.6, 7.63, 10.16, 
20, 22.28, 22.46, 23.61, 24.78, 25.18, 11.72, 25.75, 8.25, 8.99, 
13.79, 18.59, 18.84, 18.85, 7.75, 10.85, 25.47, 16.97, 25.34, 
21.95, 18.7, 20.81, 22.96, 9.68, 19.79, 9.7, 8.52, 19.62, 22.72, 
19.89, 19.47, 18.98, 19.57, 9.63, 19.34, 9.89, 0.52, 1.51, 0.19, 
0.94, 2.15, 4.36, 4.76, 2.56, 1.46, 3.01, 3.45, 2.02, 1.76, 2.3, 
2.02, 1.76, 2.3, 16.52, 21.34, 4.26, 7.04, 18.24, 12.19, 3.28, 
21.28, 16.33, 17.05, 18.08, 8.19, 18.25, 10.43, 24.15, 16.67, 
3.05, 9.82, 10.82, 22.32, 3.95, 18.91, 21.25, 24.98, 3.65, 7.18, 
16.87, 17.12, 20.19, 22.35, 16.63, 18.85, 21.75, 21.78, 21.96, 
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25.07, 12.07, 16.42, 20.05, 21.54, 22.88, 23.85, 24.07, 5.48, 
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17.66, 24.61, 24.74, 11.3, 14.34, 20.65, 17.92, 16.15, 20.87, 
19.85, 23.41, 6.36, 10.89, 14.42, 15.99, 17.5, 23.53, 23.68, 
5.58, 20.77, 12.39, 15.27, 15.4, 8.67, 11.08, 8.96, 19.68, 6.35, 
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15.08, 16.36, 11.1, 13.01, 10.91, 11.15, 10.98, 16.5, 10.71, 
10.32, 10.11, 3.51, 15.81, 10.87, 11.08, 12.28, 16.06, 6.12, 
2.42, 10.1, 13.52, 14.94, 9.44, 6.28, 13.41, 7.77, 11.06, 14.85, 
8.98, 9.56, 9.58, 14.12, 17.13, 5.24, 8.13, 2.84, 8.31, 8.48, 
9.02, 9.29, 9.52, 9.54, 13.19, 9.21, 4.82, 5.47, 6.89, 8.42, 
8.99, 9.19, 9.38, 7.18, 7, 16.78, 9.12, 9.16, 7.94, 9.06, 9.18, 
7.64, 5.64, 8.65, 8.82, 8.59, 9.08, 16.96, 9.75, 0.08, 1.35, 
2.15, 2.35, 1.33, 2.22, 1.62, 0, 0.12, 0.21, 0.6, 0.87, 0.98, 
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3.95, 4.39, 18.45, 18.6, 18.27, 14.04, 18.55, 18.44, 17.92, 18.13, 
15.07, 13.2, 17.95, 16.41, 13.03, 13.98, 17.23, 15.05, 15.22, 
14.62, 13.86, 12.87, 14.55, 14.65, 16.6, 16.77, 17.59, 17.74, 
14.87, 17.17, 17.33, 13.39, 14.23, 15.6, 15.61, 16.12, 15.88, 
16.24, 13.89, 13.9, 14.66, 15.81, 16.02, 17.47, 15.71, 15.95, 
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1544L, 1545L, 1546L, 1547L, 1548L, 1550L, 1551L, 1552L, 1553L, 
1554L, 1555L, 1556L, 1557L, 1558L, 1559L, 1560L, 1561L, 1562L, 
1563L, 1564L, 1565L, 1566L, 1567L, 1568L, 1569L, 1570L, 1571L, 
1572L, 1574L, 1575L, 1576L, 1577L, 1578L, 1579L, 1580L, 1779L, 
1780L, 1781L, 1782L, 1783L, 1784L, 1785L, 1786L, 1787L, 1788L, 
1789L, 1790L, 1791L, 1792L, 1793L, 1794L, 1795L, 1796L, 1797L, 
2058L, 2059L, 2060L, 2061L, 2062L, 2063L, 2064L, 2065L, 2066L, 
2067L, 2068L, 2069L, 2070L, 2071L, 2072L, 2073L, 2074L, 2075L, 
2076L, 2077L, 2078L, 2079L, 2080L, 2081L, 2082L, 2083L, 2084L, 
2085L, 2086L, 2087L, 2088L, 2089L, 2090L, 2091L, 2092L, 2093L, 
2094L, 2095L, 2096L, 2097L, 2098L, 2099L, 2100L, 2101L, 2102L, 
2103L, 2104L, 2105L))

我可以使用以下代码绘制三条线:

plot(f$age,f$weight)
curve(qdata$intercept1 + qdata$slope1*x, add=T, from=0, to=qdata$breakpoint1, col=2)
curve(qdata$intercept2 + qdata$slope2*x, add=T, from=qdata$breakpoint1, to=qdata$breakpoint2, col=2)
curve(qdata$intercept3 + qdata$slope3*x, add=T, from=qdata$breakpoint2, to=max(f$age), col=2)

出于我的目的,第三段的斜率没有生物学意义,因此为了呈现数据,我想将第三段的斜率设置为零:

plot(f$age,f$weight)
curve(qdata$intercept1 + qdata$slope1*x, add=T, from=0, to=qdata$breakpoint1, col=2)
curve(qdata$intercept2 + qdata$slope2*x, add=T, from=qdata$breakpoint1, to=qdata$breakpoint2, col=2)
curve(qdata$intercept3 + 0*x, add=T, from=qdata$intecept3, to=max(f$age), col=2)

但是,当我这样做时,我在第二条线段的末尾和第三条线段的开头之间出现了间隙。我想知道是否有人知道如何在将第三条线的斜率设置为零的同时保持第二条和第三条线的连接。

您提供的代码有两个问题。要使趋势线在 x-axis 上的正确位置开始,您只需修复我认为是代码中的拼写错误:

curve(qdata$intercept3 + 0*x, add=T, from=qdata$intecept3, to=max(f$age), col=2)

应该写成:

curve(qdata$intercept3 + 0*x, add=T, from=qdata$breakpoint2, to=max(f$age), col=2)

y-axis 上不连续的原因稍微复杂一些,但仍然很容易修复。原始线与第二条线的末端完美连接,因为它从 y-intercept 开始并略微向下趋势。当您将斜率重置为 0 时,新线将投射到所需点上方。因此,要绘制所需的线,您需要 re-calculate y 截距,这将产生一条穿过第二条趋势线末端的平线:

qdata$fake.intercept <- qdata$intercept2 + qdata$slope2 * qdata$breakpoint2
curve(qdata$fake.intercept + 0 * x, add = T, from = qdata$breakpoint2, to = max(f$age), col = 2)

这应该会产生下图,我相信这就是您想要的: