b3317d07-18a5-4195-88c3-ae66446af4f0 9 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

(%i1) load("stats")$ (%i2) s:[[125,140.7], [130,155.1], [135,160.3], [140,167.2], [145,169.8]]$ (%i3) z:simple_linear_regression(s,conflevel=0.99); | SIMPLE LINEAR REGRESSION | | model = 1.405999999999985 x - 31.18999999999804 | | correlation = .9611685255255155 | | v_estimation = 13.57966666666665 | (%o3) | b_conf_int = [.04469633662525263, 2.767303663374718] | | hypotheses = H0: b = 0 ,H1: b # 0 | | statistic = 6.032686683658114 | | distribution = [student_t, 3] | | p_value = 0.0038059549413203 (%i4) plot2d([[discrete, s], take_inference(model,z)], [x,120,150], [gnuplot_curve_styles, ["with points","with lines"]] )$ (%i5) take_inference(model,z), x=133; (%o5) 155.808 (%i6) take_inference(means,z); (%o6) [135.0, 158.62] (%i7) take_inference(new_pred_conf_int,z), x=133; (%o7) [132.0728595995113, 179.5431404004887]

restart MaximaControl Restart complete.

msg stats load Maxima :

dir DocumentDirectory CurrentDirectory :

dir D:\Kraska\Downloads\

M 125130135140145 140.7 155.1 160.3 167.2 169.8 25 mat transpose :

res M conflevel 0.99 ≡ simple_linear_regression args 2 el Maxima mat2sys :

res model 1.405999999999985 x * 31.18999999999803 - 21 sys means 135.0 158.62 21 sys 21 sys variances 50.0 106.9896000000007 21 sys 21 sys correlation 0.96116852552551 21 sys adc 0.89845991261456 21 sys a.estimation 31.18999999999803 - 21 sys a.conf.int 215.2179151598771 - 152.8379151598811 21 sys 21 sys b.estimation 1.405999999999985 21 sys b.conf.int 0.044696336625253 2.767303663374717 21 sys 21 sys hypotheses H0: b = 0 ,H1: b ≠ 0 21 sys statistic 6.032686683658114 21 sys distribution student.t 321 sys 21 sys p.value 0.0091319547357417 21 sys v.estimation 13.57966666666664 21 sys v.conf.int 3.173274925102496 568.0143894218797 21 sys 21 sys cond.mean.conf.int 1.405999999999985 x * 21.52410081697645 0.004 135.0 x - (2^* 0.2 + (0.5^* - 31.18999999999803 - 1.405999999999985 x * 21.52410081697645 0.004 135.0 x - (2^* 0.2 + (0.5^* + 31.18999999999803 - 21 sys 12 mat new.pred.conf.int 1.405999999999985 x * 21.52410081697645 0.004 135.0 x - (2^* 1.2 + (0.5^* - 31.18999999999803 - 1.405999999999985 x * 21.52410081697645 0.004 135.0 x - (2^* 1.2 + (0.5^* + 31.18999999999803 - 21 sys 21 sys residuals 144.5600000000001 3.860000000000155 - 21 sys 151.5900000000001 3.509999999999905 21 sys 158.62 1.680000000000006 21 sys 165.6499999999999 1.550000000000068 21 sys 172.6799999999998 2.879999999999853 - 21 sys 51 sys 21 sys 181 sys