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Nov 28th, 2015
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  1. > seqP = seq(0.2,0.8,by=0.1)
  2. > for(i in 1:length(seqP)){
  3. +   Z = D[D$P == seqP[i],]
  4. +   if(dim(Z)[1] > 0){
  5. +     print(seqP[i])
  6. +     lr.out = lm(Z$Time~Z$N)
  7. +     print(summary(lr.out))
  8. +    
  9. +     lr.out = lm(log(Z$Time)~Z$N)
  10. +     print(summary(lr.out))
  11. +    
  12. +     lr.out = lm(log(Z$Time)~(Z$N))
  13. +     print(summary(lr.out))
  14. +    
  15. +     lr.out = lm(sqrt(Z$Time)~(Z$N))
  16. +     print(summary(lr.out))
  17. +    
  18. +     lr.out = lm(1/Z$Time~Z$N)
  19. +     print(summary(lr.out))
  20. +    
  21. +     lr.out = lm(Z$Time~log(Z$N))
  22. +     print(summary(lr.out))
  23. +    
  24. +     lr.out = lm(log(Z$Time)~log(Z$N))
  25. +     print(summary(lr.out))
  26. +   }
  27. + }
  28. [1] 0.2
  29.  
  30. Call:
  31. lm(formula = Z$Time ~ Z$N)
  32.  
  33. Residuals:
  34.     Min      1Q  Median      3Q     Max
  35. -109.84  -47.01  -40.98   16.55  156.38
  36.  
  37. Coefficients:
  38.             Estimate Std. Error t value Pr(>|t|)    
  39. (Intercept) -161.465     57.346  -2.816   0.0101 *  
  40. Z$N           10.170      1.575   6.458  1.7e-06 ***
  41. ---
  42. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  43.  
  44. Residual standard error: 82.94 on 22 degrees of freedom
  45. Multiple R-squared:  0.6546,    Adjusted R-squared:  0.6389
  46. F-statistic:  41.7 on 1 and 22 DF,  p-value: 1.697e-06
  47.  
  48.  
  49. Call:
  50. lm(formula = log(Z$Time) ~ Z$N)
  51.  
  52. Residuals:
  53.      Min       1Q   Median       3Q      Max
  54. -2.89412 -1.03959  0.02107  0.66460  2.34731
  55.  
  56. Coefficients:
  57.             Estimate Std. Error t value Pr(>|t|)    
  58. (Intercept) -1.72388    1.03873  -1.660    0.111    
  59. Z$N          0.16935    0.02852   5.937 5.65e-06 ***
  60. ---
  61. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  62.  
  63. Residual standard error: 1.502 on 22 degrees of freedom
  64. Multiple R-squared:  0.6157,    Adjusted R-squared:  0.5982
  65. F-statistic: 35.24 on 1 and 22 DF,  p-value: 5.649e-06
  66.  
  67.  
  68. Call:
  69. lm(formula = log(Z$Time) ~ (Z$N))
  70.  
  71. Residuals:
  72.      Min       1Q   Median       3Q      Max
  73. -2.89412 -1.03959  0.02107  0.66460  2.34731
  74.  
  75. Coefficients:
  76.             Estimate Std. Error t value Pr(>|t|)    
  77. (Intercept) -1.72388    1.03873  -1.660    0.111    
  78. Z$N          0.16935    0.02852   5.937 5.65e-06 ***
  79. ---
  80. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  81.  
  82. Residual standard error: 1.502 on 22 degrees of freedom
  83. Multiple R-squared:  0.6157,    Adjusted R-squared:  0.5982
  84. F-statistic: 35.24 on 1 and 22 DF,  p-value: 5.649e-06
  85.  
  86.  
  87. Call:
  88. lm(formula = sqrt(Z$Time) ~ (Z$N))
  89.  
  90. Residuals:
  91.    Min     1Q Median     3Q    Max
  92. -3.731 -2.733 -1.823  1.122  7.789
  93.  
  94. Coefficients:
  95.             Estimate Std. Error t value Pr(>|t|)    
  96. (Intercept) -6.24975    2.80593  -2.227   0.0365 *  
  97. Z$N          0.52606    0.07705   6.827 7.38e-07 ***
  98. ---
  99. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  100.  
  101. Residual standard error: 4.058 on 22 degrees of freedom
  102. Multiple R-squared:  0.6793,    Adjusted R-squared:  0.6648
  103. F-statistic: 46.61 on 1 and 22 DF,  p-value: 7.379e-07
  104.  
  105.  
  106. Call:
  107. lm(formula = 1/Z$Time ~ Z$N)
  108.  
  109. Residuals:
  110.     Min      1Q  Median      3Q     Max
  111. -0.7129 -0.5354 -0.1124  0.3097  2.4637
  112.  
  113. Coefficients:
  114.             Estimate Std. Error t value Pr(>|t|)  
  115. (Intercept)  1.80642    0.49671   3.637  0.00146 **
  116. Z$N         -0.04226    0.01364  -3.098  0.00525 **
  117. ---
  118. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  119.  
  120. Residual standard error: 0.7184 on 22 degrees of freedom
  121. Multiple R-squared:  0.3037,    Adjusted R-squared:  0.2721
  122. F-statistic: 9.597 on 1 and 22 DF,  p-value: 0.005251
  123.  
  124.  
  125. Call:
  126. lm(formula = Z$Time ~ log(Z$N))
  127.  
  128. Residuals:
  129.     Min      1Q  Median      3Q     Max
  130. -127.68  -37.09  -15.92   10.07  141.64
  131.  
  132. Coefficients:
  133.             Estimate Std. Error t value Pr(>|t|)    
  134. (Intercept)  -1031.7      168.0  -6.142  3.5e-06 ***
  135. log(Z$N)       349.9       47.8   7.319  2.5e-07 ***
  136. ---
  137. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  138.  
  139. Residual standard error: 76.15 on 22 degrees of freedom
  140. Multiple R-squared:  0.7089,    Adjusted R-squared:  0.6956
  141. F-statistic: 53.57 on 1 and 22 DF,  p-value: 2.501e-07
  142.  
  143.  
  144. Call:
  145. lm(formula = log(Z$Time) ~ log(Z$N))
  146.  
  147. Residuals:
  148.     Min      1Q  Median      3Q     Max
  149. -2.3602 -0.9654 -0.2014  0.5769  2.1231
  150.  
  151. Coefficients:
  152.             Estimate Std. Error t value Pr(>|t|)    
  153. (Intercept)  -16.983      2.839  -5.983 5.07e-06 ***
  154. log(Z$N)       6.046      0.808   7.483 1.76e-07 ***
  155. ---
  156. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  157.  
  158. Residual standard error: 1.287 on 22 degrees of freedom
  159. Multiple R-squared:  0.7179,    Adjusted R-squared:  0.7051
  160. F-statistic:    56 on 1 and 22 DF,  p-value: 1.756e-07
  161.  
  162. [1] 0.4
  163.  
  164. Call:
  165. lm(formula = Z$Time ~ Z$N)
  166.  
  167. Residuals:
  168.      Min       1Q   Median       3Q      Max
  169. -248.682   -4.957   16.348   37.652   67.479
  170.  
  171. Coefficients:
  172.             Estimate Std. Error t value Pr(>|t|)  
  173. (Intercept)  147.303     74.109   1.988   0.0594 .
  174. Z$N            3.409      1.927   1.769   0.0908 .
  175. ---
  176. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  177.  
  178. Residual standard error: 80.61 on 22 degrees of freedom
  179. Multiple R-squared:  0.1245,    Adjusted R-squared:  0.08474
  180. F-statistic: 3.129 on 1 and 22 DF,  p-value: 0.09075
  181.  
  182.  
  183. Call:
  184. lm(formula = log(Z$Time) ~ Z$N)
  185.  
  186. Residuals:
  187.     Min      1Q  Median      3Q     Max
  188. -4.9322 -0.0777  0.2969  0.6715  1.1960
  189.  
  190. Coefficients:
  191.             Estimate Std. Error t value Pr(>|t|)  
  192. (Intercept)  3.00938    1.34157   2.243   0.0353 *
  193. Z$N          0.05994    0.03488   1.718   0.0998 .
  194. ---
  195. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  196.  
  197. Residual standard error: 1.459 on 22 degrees of freedom
  198. Multiple R-squared:  0.1183,    Adjusted R-squared:  0.07825
  199. F-statistic: 2.952 on 1 and 22 DF,  p-value: 0.09979
  200.  
  201.  
  202. Call:
  203. lm(formula = log(Z$Time) ~ (Z$N))
  204.  
  205. Residuals:
  206.     Min      1Q  Median      3Q     Max
  207. -4.9322 -0.0777  0.2969  0.6715  1.1960
  208.  
  209. Coefficients:
  210.             Estimate Std. Error t value Pr(>|t|)  
  211. (Intercept)  3.00938    1.34157   2.243   0.0353 *
  212. Z$N          0.05994    0.03488   1.718   0.0998 .
  213. ---
  214. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  215.  
  216. Residual standard error: 1.459 on 22 degrees of freedom
  217. Multiple R-squared:  0.1183,    Adjusted R-squared:  0.07825
  218. F-statistic: 2.952 on 1 and 22 DF,  p-value: 0.09979
  219.  
  220.  
  221. Call:
  222. lm(formula = sqrt(Z$Time) ~ (Z$N))
  223.  
  224. Residuals:
  225.      Min       1Q   Median       3Q      Max
  226. -13.6651  -0.2614   0.8837   2.0288   3.6319
  227.  
  228. Coefficients:
  229.             Estimate Std. Error t value Pr(>|t|)  
  230. (Intercept)   9.1082     4.0012   2.276   0.0329 *
  231. Z$N           0.1832     0.1040   1.761   0.0921 .
  232. ---
  233. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  234.  
  235. Residual standard error: 4.352 on 22 degrees of freedom
  236. Multiple R-squared:  0.1236,    Adjusted R-squared:  0.08372
  237. F-statistic: 3.101 on 1 and 22 DF,  p-value: 0.09212
  238.  
  239.  
  240. Call:
  241. lm(formula = 1/Z$Time ~ Z$N)
  242.  
  243. Residuals:
  244.      Min       1Q   Median       3Q      Max
  245. -0.16541 -0.09545 -0.04548  0.00449  1.00407
  246.  
  247. Coefficients:
  248.              Estimate Std. Error t value Pr(>|t|)
  249. (Intercept)  0.368620   0.219679   1.678    0.107
  250. Z$N         -0.007995   0.005712  -1.400    0.176
  251.  
  252. Residual standard error: 0.2389 on 22 degrees of freedom
  253. Multiple R-squared:  0.08178,   Adjusted R-squared:  0.04004
  254. F-statistic: 1.959 on 1 and 22 DF,  p-value: 0.1755
  255.  
  256.  
  257. Call:
  258. lm(formula = Z$Time ~ log(Z$N))
  259.  
  260. Residuals:
  261.      Min       1Q   Median       3Q      Max
  262. -249.180   -5.299   13.137   35.148   73.260
  263.  
  264. Coefficients:
  265.             Estimate Std. Error t value Pr(>|t|)  
  266. (Intercept)  -185.02     249.76  -0.741   0.4667  
  267. log(Z$N)      127.92      69.28   1.846   0.0783 .
  268. ---
  269. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  270.  
  271. Residual standard error: 80.16 on 22 degrees of freedom
  272. Multiple R-squared:  0.1342,    Adjusted R-squared:  0.09481
  273. F-statistic: 3.409 on 1 and 22 DF,  p-value: 0.07834
  274.  
  275.  
  276. Call:
  277. lm(formula = log(Z$Time) ~ log(Z$N))
  278.  
  279. Residuals:
  280.     Min      1Q  Median      3Q     Max
  281. -4.9435 -0.0806  0.2417  0.6264  1.2926
  282.  
  283. Coefficients:
  284.             Estimate Std. Error t value Pr(>|t|)  
  285. (Intercept)   -2.786      4.527  -0.616   0.5445  
  286. log(Z$N)       2.236      1.256   1.781   0.0888 .
  287. ---
  288. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  289.  
  290. Residual standard error: 1.453 on 22 degrees of freedom
  291. Multiple R-squared:  0.126, Adjusted R-squared:  0.08625
  292. F-statistic: 3.171 on 1 and 22 DF,  p-value: 0.08877
  293.  
  294. [1] 0.5
  295.  
  296. Call:
  297. lm(formula = Z$Time ~ Z$N)
  298.  
  299. Residuals:
  300.      Min       1Q   Median       3Q      Max
  301. -258.615  -36.462    2.108   79.248  117.818
  302.  
  303. Coefficients:
  304.             Estimate Std. Error t value Pr(>|t|)  
  305. (Intercept)  -49.238     92.916  -0.530   0.6015  
  306. Z$N            7.714      2.416   3.193   0.0042 **
  307. ---
  308. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  309.  
  310. Residual standard error: 101.1 on 22 degrees of freedom
  311. Multiple R-squared:  0.3167,    Adjusted R-squared:  0.2856
  312. F-statistic:  10.2 on 1 and 22 DF,  p-value: 0.004201
  313.  
  314.  
  315. Call:
  316. lm(formula = log(Z$Time) ~ Z$N)
  317.  
  318. Residuals:
  319.     Min      1Q  Median      3Q     Max
  320. -5.4006 -0.3925  0.1288  1.1714  1.6927
  321.  
  322. Coefficients:
  323.             Estimate Std. Error t value Pr(>|t|)  
  324. (Intercept)   0.8832     1.6613   0.532   0.6003  
  325. Z$N           0.1043     0.0432   2.414   0.0246 *
  326. ---
  327. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  328.  
  329. Residual standard error: 1.807 on 22 degrees of freedom
  330. Multiple R-squared:  0.2094,    Adjusted R-squared:  0.1734
  331. F-statistic: 5.826 on 1 and 22 DF,  p-value: 0.02456
  332.  
  333.  
  334. Call:
  335. lm(formula = log(Z$Time) ~ (Z$N))
  336.  
  337. Residuals:
  338.     Min      1Q  Median      3Q     Max
  339. -5.4006 -0.3925  0.1288  1.1714  1.6927
  340.  
  341. Coefficients:
  342.             Estimate Std. Error t value Pr(>|t|)  
  343. (Intercept)   0.8832     1.6613   0.532   0.6003  
  344. Z$N           0.1043     0.0432   2.414   0.0246 *
  345. ---
  346. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  347.  
  348. Residual standard error: 1.807 on 22 degrees of freedom
  349. Multiple R-squared:  0.2094,    Adjusted R-squared:  0.1734
  350. F-statistic: 5.826 on 1 and 22 DF,  p-value: 0.02456
  351.  
  352.  
  353. Call:
  354. lm(formula = sqrt(Z$Time) ~ (Z$N))
  355.  
  356. Residuals:
  357.      Min       1Q   Median       3Q      Max
  358. -14.3948  -1.6980   0.1935   3.9765   5.8680
  359.  
  360. Coefficients:
  361.             Estimate Std. Error t value Pr(>|t|)  
  362. (Intercept)   0.1036     4.8399   0.021   0.9831  
  363. Z$N           0.3783     0.1258   3.006   0.0065 **
  364. ---
  365. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  366.  
  367. Residual standard error: 5.264 on 22 degrees of freedom
  368. Multiple R-squared:  0.2912,    Adjusted R-squared:  0.2589
  369. F-statistic: 9.037 on 1 and 22 DF,  p-value: 0.006502
  370.  
  371.  
  372. Call:
  373. lm(formula = 1/Z$Time ~ Z$N)
  374.  
  375. Residuals:
  376.      Min       1Q   Median       3Q      Max
  377. -0.33425 -0.22222 -0.12332 -0.01398  1.74030
  378.  
  379. Coefficients:
  380.             Estimate Std. Error t value Pr(>|t|)
  381. (Intercept)  0.75964    0.45728   1.661    0.111
  382. Z$N         -0.01582    0.01189  -1.331    0.197
  383.  
  384. Residual standard error: 0.4974 on 22 degrees of freedom
  385. Multiple R-squared:  0.07452,   Adjusted R-squared:  0.03245
  386. F-statistic: 1.771 on 1 and 22 DF,  p-value: 0.1968
  387.  
  388.  
  389. Call:
  390. lm(formula = Z$Time ~ log(Z$N))
  391.  
  392. Residuals:
  393.      Min       1Q   Median       3Q      Max
  394. -266.989  -34.989   -3.215   72.574  119.061
  395.  
  396. Coefficients:
  397.             Estimate Std. Error t value Pr(>|t|)  
  398. (Intercept)  -844.76     302.28  -2.795  0.01056 *
  399. log(Z$N)      301.57      83.85   3.596  0.00161 **
  400. ---
  401. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  402.  
  403. Residual standard error: 97.02 on 22 degrees of freedom
  404. Multiple R-squared:  0.3702,    Adjusted R-squared:  0.3416
  405. F-statistic: 12.93 on 1 and 22 DF,  p-value: 0.001605
  406.  
  407.  
  408. Call:
  409. lm(formula = log(Z$Time) ~ log(Z$N))
  410.  
  411. Residuals:
  412.     Min      1Q  Median      3Q     Max
  413. -5.5116 -0.3651  0.1579  1.0802  1.7048
  414.  
  415. Coefficients:
  416.             Estimate Std. Error t value Pr(>|t|)  
  417. (Intercept)   -9.782      5.513  -1.774   0.0898 .
  418. log(Z$N)       4.052      1.529   2.650   0.0146 *
  419. ---
  420. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  421.  
  422. Residual standard error: 1.769 on 22 degrees of freedom
  423. Multiple R-squared:  0.2419,    Adjusted R-squared:  0.2075
  424. F-statistic:  7.02 on 1 and 22 DF,  p-value: 0.01464
  425.  
  426. [1] 0.7
  427.  
  428. Call:
  429. lm(formula = Z$Time ~ Z$N)
  430.  
  431. Residuals:
  432.      Min       1Q   Median       3Q      Max
  433. -244.017  -69.722   -0.864   54.286  219.736
  434.  
  435. Coefficients:
  436.             Estimate Std. Error t value Pr(>|t|)    
  437. (Intercept) -250.637     76.422   -3.28  0.00342 **
  438. Z$N           11.030      2.046    5.39 2.06e-05 ***
  439. ---
  440. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  441.  
  442. Residual standard error: 98.11 on 22 degrees of freedom
  443. Multiple R-squared:  0.5691,    Adjusted R-squared:  0.5495
  444. F-statistic: 29.06 on 1 and 22 DF,  p-value: 2.058e-05
  445.  
  446.  
  447. Call:
  448. lm(formula = log(Z$Time) ~ Z$N)
  449.  
  450. Residuals:
  451.     Min      1Q  Median      3Q     Max
  452. -4.6795 -0.8423  0.0809  0.5685  4.0709
  453.  
  454. Coefficients:
  455.             Estimate Std. Error t value Pr(>|t|)    
  456. (Intercept) -5.51899    1.35793  -4.064 0.000516 ***
  457. Z$N          0.23840    0.03636   6.557 1.36e-06 ***
  458. ---
  459. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  460.  
  461. Residual standard error: 1.743 on 22 degrees of freedom
  462. Multiple R-squared:  0.6615,    Adjusted R-squared:  0.6461
  463. F-statistic: 42.99 on 1 and 22 DF,  p-value: 1.356e-06
  464.  
  465.  
  466. Call:
  467. lm(formula = log(Z$Time) ~ (Z$N))
  468.  
  469. Residuals:
  470.     Min      1Q  Median      3Q     Max
  471. -4.6795 -0.8423  0.0809  0.5685  4.0709
  472.  
  473. Coefficients:
  474.             Estimate Std. Error t value Pr(>|t|)    
  475. (Intercept) -5.51899    1.35793  -4.064 0.000516 ***
  476. Z$N          0.23840    0.03636   6.557 1.36e-06 ***
  477. ---
  478. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  479.  
  480. Residual standard error: 1.743 on 22 degrees of freedom
  481. Multiple R-squared:  0.6615,    Adjusted R-squared:  0.6461
  482. F-statistic: 42.99 on 1 and 22 DF,  p-value: 1.356e-06
  483.  
  484.  
  485. Call:
  486. lm(formula = sqrt(Z$Time) ~ (Z$N))
  487.  
  488. Residuals:
  489.      Min       1Q   Median       3Q      Max
  490. -13.5657  -1.8991  -0.5978   2.4518  11.6006
  491.  
  492. Coefficients:
  493.             Estimate Std. Error t value Pr(>|t|)    
  494. (Intercept) -12.5777     3.8862  -3.236  0.00379 **
  495. Z$N           0.6099     0.1041   5.861 6.74e-06 ***
  496. ---
  497. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  498.  
  499. Residual standard error: 4.989 on 22 degrees of freedom
  500. Multiple R-squared:  0.6096,    Adjusted R-squared:  0.5919
  501. F-statistic: 34.36 on 1 and 22 DF,  p-value: 6.739e-06
  502.  
  503.  
  504. Call:
  505. lm(formula = 1/Z$Time ~ Z$N)
  506.  
  507. Residuals:
  508.     Min      1Q  Median      3Q     Max
  509. -2.1370 -1.2909 -0.4435  0.9208  5.3264
  510.  
  511. Coefficients:
  512.             Estimate Std. Error t value Pr(>|t|)    
  513. (Intercept)  6.38494    1.52818   4.178 0.000391 ***
  514. Z$N         -0.14839    0.04092  -3.627 0.001493 **
  515. ---
  516. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  517.  
  518. Residual standard error: 1.962 on 22 degrees of freedom
  519. Multiple R-squared:  0.3741,    Adjusted R-squared:  0.3457
  520. F-statistic: 13.15 on 1 and 22 DF,  p-value: 0.001493
  521.  
  522.  
  523. Call:
  524. lm(formula = Z$Time ~ log(Z$N))
  525.  
  526. Residuals:
  527.     Min      1Q  Median      3Q     Max
  528. -242.45  -80.39   16.70   56.21  206.52
  529.  
  530. Coefficients:
  531.             Estimate Std. Error t value Pr(>|t|)    
  532. (Intercept) -1170.43     250.68  -4.669 0.000118 ***
  533. log(Z$N)      371.61      70.48   5.272 2.73e-05 ***
  534. ---
  535. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  536.  
  537. Residual standard error: 99.35 on 22 degrees of freedom
  538. Multiple R-squared:  0.5582,    Adjusted R-squared:  0.5381
  539. F-statistic:  27.8 on 1 and 22 DF,  p-value: 2.732e-05
  540.  
  541.  
  542. Call:
  543. lm(formula = log(Z$Time) ~ log(Z$N))
  544.  
  545. Residuals:
  546.     Min      1Q  Median      3Q     Max
  547. -4.7449 -0.5938  0.0430  0.4527  3.8398
  548.  
  549. Coefficients:
  550.             Estimate Std. Error t value Pr(>|t|)    
  551. (Intercept)  -26.742      4.061  -6.585 1.27e-06 ***
  552. log(Z$N)       8.411      1.142   7.366 2.26e-07 ***
  553. ---
  554. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  555.  
  556. Residual standard error: 1.609 on 22 degrees of freedom
  557. Multiple R-squared:  0.7115,    Adjusted R-squared:  0.6984
  558. F-statistic: 54.25 on 1 and 22 DF,  p-value: 2.262e-07
  559.  
  560. [1] 0.8
  561.  
  562. Call:
  563. lm(formula = Z$Time ~ Z$N)
  564.  
  565. Residuals:
  566.     Min      1Q  Median      3Q     Max
  567. -134.03  -69.80  -13.19   66.01  165.48
  568.  
  569. Coefficients:
  570.             Estimate Std. Error t value Pr(>|t|)    
  571. (Intercept) -291.348     95.593  -3.048 0.007674 **
  572. Z$N           12.168      2.466   4.934 0.000149 ***
  573. ---
  574. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  575.  
  576. Residual standard error: 90.98 on 16 degrees of freedom
  577. Multiple R-squared:  0.6034,    Adjusted R-squared:  0.5787
  578. F-statistic: 24.35 on 1 and 16 DF,  p-value: 0.0001494
  579.  
  580.  
  581. Call:
  582. lm(formula = log(Z$Time) ~ Z$N)
  583.  
  584. Residuals:
  585.     Min      1Q  Median      3Q     Max
  586. -3.9135 -0.1839  0.0746  1.3955  3.0512
  587.  
  588. Coefficients:
  589.             Estimate Std. Error t value Pr(>|t|)  
  590. (Intercept) -2.94473    2.33114  -1.263  0.22461  
  591. Z$N          0.17583    0.06013   2.924  0.00993 **
  592. ---
  593. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  594.  
  595. Residual standard error: 2.219 on 16 degrees of freedom
  596. Multiple R-squared:  0.3483,    Adjusted R-squared:  0.3075
  597. F-statistic: 8.549 on 1 and 16 DF,  p-value: 0.009934
  598.  
  599.  
  600. Call:
  601. lm(formula = log(Z$Time) ~ (Z$N))
  602.  
  603. Residuals:
  604.     Min      1Q  Median      3Q     Max
  605. -3.9135 -0.1839  0.0746  1.3955  3.0512
  606.  
  607. Coefficients:
  608.             Estimate Std. Error t value Pr(>|t|)  
  609. (Intercept) -2.94473    2.33114  -1.263  0.22461  
  610. Z$N          0.17583    0.06013   2.924  0.00993 **
  611. ---
  612. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  613.  
  614. Residual standard error: 2.219 on 16 degrees of freedom
  615. Multiple R-squared:  0.3483,    Adjusted R-squared:  0.3075
  616. F-statistic: 8.549 on 1 and 16 DF,  p-value: 0.009934
  617.  
  618.  
  619. Call:
  620. lm(formula = sqrt(Z$Time) ~ (Z$N))
  621.  
  622. Residuals:
  623.     Min      1Q  Median      3Q     Max
  624. -8.4505 -3.2985 -0.8165  4.4238  8.1668
  625.  
  626. Coefficients:
  627.             Estimate Std. Error t value Pr(>|t|)    
  628. (Intercept) -11.8073     5.4811  -2.154  0.04681 *  
  629. Z$N           0.5989     0.1414   4.236  0.00063 ***
  630. ---
  631. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  632.  
  633. Residual standard error: 5.216 on 16 degrees of freedom
  634. Multiple R-squared:  0.5286,    Adjusted R-squared:  0.4991
  635. F-statistic: 17.94 on 1 and 16 DF,  p-value: 0.0006297
  636.  
  637.  
  638. Call:
  639. lm(formula = 1/Z$Time ~ Z$N)
  640.  
  641. Residuals:
  642.      Min       1Q   Median       3Q      Max
  643. -0.85867 -0.49973 -0.21453 -0.05155  1.94189
  644.  
  645. Coefficients:
  646.             Estimate Std. Error t value Pr(>|t|)  
  647. (Intercept)  1.68461    0.87801   1.919    0.073 .
  648. Z$N         -0.03259    0.02265  -1.439    0.169  
  649. ---
  650. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  651.  
  652. Residual standard error: 0.8356 on 16 degrees of freedom
  653. Multiple R-squared:  0.1146,    Adjusted R-squared:  0.05927
  654. F-statistic: 2.071 on 1 and 16 DF,  p-value: 0.1694
  655.  
  656.  
  657. Call:
  658. lm(formula = Z$Time ~ log(Z$N))
  659.  
  660. Residuals:
  661.      Min       1Q   Median       3Q      Max
  662. -146.787  -76.333    0.075   74.869  152.719
  663.  
  664. Coefficients:
  665.             Estimate Std. Error t value Pr(>|t|)    
  666. (Intercept)  -1399.5      328.3  -4.263 0.000595 ***
  667. log(Z$N)       435.1       90.9   4.786 0.000202 ***
  668. ---
  669. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  670.  
  671. Residual standard error: 92.64 on 16 degrees of freedom
  672. Multiple R-squared:  0.5888,    Adjusted R-squared:  0.5631
  673. F-statistic: 22.91 on 1 and 16 DF,  p-value: 0.0002019
  674.  
  675.  
  676. Call:
  677. lm(formula = log(Z$Time) ~ log(Z$N))
  678.  
  679. Residuals:
  680.     Min      1Q  Median      3Q     Max
  681. -4.1099 -0.0954  0.1445  1.3140  3.1282
  682.  
  683. Coefficients:
  684.             Estimate Std. Error t value Pr(>|t|)  
  685. (Intercept)  -18.062      8.069  -2.238   0.0398 *
  686. log(Z$N)       6.038      2.234   2.703   0.0157 *
  687. ---
  688. Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  689.  
  690. Residual standard error: 2.277 on 16 degrees of freedom
  691. Multiple R-squared:  0.3134,    Adjusted R-squared:  0.2705
  692. F-statistic: 7.304 on 1 and 16 DF,  p-value: 0.01569
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