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Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47

Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 17HP
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Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47
Transcribed Image Text:Calculate the value of r and test if there is a significant relationship between age of persons and weight at 2% level of significance. Age of Person, in years 11 12 13 14 15 16 17 18 19 20 (X) Weight, in kg (Y) 40 42 38 35 45 51 48 48 50 47
CRITICAL VALUES of Z (tabulated values) Level of One-tailed Test Two-tailed Test Significance a 0.10 ±1.28 ±1.645 +1.96 0.05 +1.645 0.01 +2.33 +2.58 STUDENT'S T-DISTRIBUTION TABLE (tabulated values) Level of significance for one-tailed test df 0.10 0.05 0.025 0.01 0.005 .0005 Level of significance for two-tailed test df 0.20 0.10 0.05 0.02 0.01 0.001 1 3.0780 6.3140 12.7060 31.8210 63.6570 636.6190 2 1.8860 2.9200 1.3030 6.9650 9.9250 31.5980 3 1.6380 2.3530 3.1820 4.5410 5.8410 12.9410 4 1.5330 2.1320 2.7760 3.7470 4.6040 8.6100 1.4760 2.0150 2.5710 3.3650 4.0320 6.8590 6 1.4400 1.9430 2.4470 3.1430 3.7070 5.9590 7 1.4150 1.8950 2.3650 2.9980 3.4990 5.4050 8 1.3970 1.8600 2.3060 2.8960 3.3550 5.0410 9 1.3830 1.8330 2.2620 2.8210 3.2500 4.7810 10 1.3720 1.8120 2.2280 2.7640 3.1690 4.5870 11 1.3630 1.7960 2.2010 2.7180 3.1060 4.4370 12 1.3560 1.7820 2.1790 2.6810 3.0550 4.3180 13 1.3500 1.7710 2.1600 2.6500 3.0120 4.2210 14 1.3450 1.7610 2.1450 2.6240 2.9770 4.1400 15 1.3410 1.7530 2.1310 2.6020 2.9470 4.0730 16 1.3370 1.7460 2.1200 2.5830 2.9210 4.0150 17 1.3330 1.7400 2.1100 2.5670 2.8980 3.9650 18 1.3300 1.7340 2.1010 2.5520 2.8780 3.9220 19 1.3260 1.7290 2.0930 2.5390 2.8610 3.8830 20 1.3250 1.7250 2.0860 2.5280 2.8450 3.8500 21 1.3230 1.7210 2.0800 2.5180 2.8310 3.6190 22 1.3210 1.7170 2.0740 2.5080 2.8190 3.7920 23 1.3190 1.7140 2.0690 2.5000 2.8070 3.7670 24 1.3180 1.7110 2.0640 2.4920 2.7970 3.7450 25 1.3160 1.7080 2.0600 2.4850 2.7870 3.7250 26 1.3150 1.7060 2.0560 2.4790 2.7790 3.7070 27 1.3140 1.7030 2.0520 2.4730 2.7710 3.6900 28 1.3130 1.7010 2.0480 2.4670 2.7630 3.6740 29 1.3110 1.6990 2.0450 2.4620 2.7560 3.6590 30 1.3100 1.6970 2.0420 2.4570 2.7500 3.6460 40 1.3030 1.6840 2.0210 2.4240 2.7040 3.5510 60 1.2960 1.6710 2.0000 2.3900 2.6600 3.4600 120 1.2890 1.6580 1.9800 2.3580 2.6170 3.3730 1.2820 1.6450 1.9600 2.3260 2.5760 3.2910
Transcribed Image Text:CRITICAL VALUES of Z (tabulated values) Level of One-tailed Test Two-tailed Test Significance a 0.10 ±1.28 ±1.645 +1.96 0.05 +1.645 0.01 +2.33 +2.58 STUDENT'S T-DISTRIBUTION TABLE (tabulated values) Level of significance for one-tailed test df 0.10 0.05 0.025 0.01 0.005 .0005 Level of significance for two-tailed test df 0.20 0.10 0.05 0.02 0.01 0.001 1 3.0780 6.3140 12.7060 31.8210 63.6570 636.6190 2 1.8860 2.9200 1.3030 6.9650 9.9250 31.5980 3 1.6380 2.3530 3.1820 4.5410 5.8410 12.9410 4 1.5330 2.1320 2.7760 3.7470 4.6040 8.6100 1.4760 2.0150 2.5710 3.3650 4.0320 6.8590 6 1.4400 1.9430 2.4470 3.1430 3.7070 5.9590 7 1.4150 1.8950 2.3650 2.9980 3.4990 5.4050 8 1.3970 1.8600 2.3060 2.8960 3.3550 5.0410 9 1.3830 1.8330 2.2620 2.8210 3.2500 4.7810 10 1.3720 1.8120 2.2280 2.7640 3.1690 4.5870 11 1.3630 1.7960 2.2010 2.7180 3.1060 4.4370 12 1.3560 1.7820 2.1790 2.6810 3.0550 4.3180 13 1.3500 1.7710 2.1600 2.6500 3.0120 4.2210 14 1.3450 1.7610 2.1450 2.6240 2.9770 4.1400 15 1.3410 1.7530 2.1310 2.6020 2.9470 4.0730 16 1.3370 1.7460 2.1200 2.5830 2.9210 4.0150 17 1.3330 1.7400 2.1100 2.5670 2.8980 3.9650 18 1.3300 1.7340 2.1010 2.5520 2.8780 3.9220 19 1.3260 1.7290 2.0930 2.5390 2.8610 3.8830 20 1.3250 1.7250 2.0860 2.5280 2.8450 3.8500 21 1.3230 1.7210 2.0800 2.5180 2.8310 3.6190 22 1.3210 1.7170 2.0740 2.5080 2.8190 3.7920 23 1.3190 1.7140 2.0690 2.5000 2.8070 3.7670 24 1.3180 1.7110 2.0640 2.4920 2.7970 3.7450 25 1.3160 1.7080 2.0600 2.4850 2.7870 3.7250 26 1.3150 1.7060 2.0560 2.4790 2.7790 3.7070 27 1.3140 1.7030 2.0520 2.4730 2.7710 3.6900 28 1.3130 1.7010 2.0480 2.4670 2.7630 3.6740 29 1.3110 1.6990 2.0450 2.4620 2.7560 3.6590 30 1.3100 1.6970 2.0420 2.4570 2.7500 3.6460 40 1.3030 1.6840 2.0210 2.4240 2.7040 3.5510 60 1.2960 1.6710 2.0000 2.3900 2.6600 3.4600 120 1.2890 1.6580 1.9800 2.3580 2.6170 3.3730 1.2820 1.6450 1.9600 2.3260 2.5760 3.2910
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