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From Example 9.3 (Black Spruce Seedlings), is the intercept significantly zero? Plot the estimated sampling distribution of the intercept. Is it normal? Comment. Calculate a 95% prediction interval for the "Di.change" when the "Ht.change" is 32.1. Is there a significant association (linear) between Ht.change and Di.change ? Intepret the mean bootstrapped slope in the context of the problem. 71 110 28.3 35 Tree Competition Fertilizer Height Heights Diameter Diameter Ht change D change 1 NC F 15 60 1954375 7.4 45 5.415625 2 NC F 9 45.21.190025 52 362 4008375 3 NC F 12 42 17859375 57 30 39140625 4 NC F 13.7 49.5 15875 84 35.8 5 NC F 12 473 15875 62 353 4.6125 6 NC F 12 56.4 1.5875 74 444 5.8125 7 NC NF 16.0 43.5 1.954375 49 26.7 2915625 8 NC NF 14.6 492 1.984375 5.4 34.6 3.415625 9 NC NF 16 54 1934375 38 5.115625 10 NC NF 15.4 45 1.954375 5.1 29.6 3.115625 11 NC NF 117 38 1 3890625 41 26 3 2.7109375 12 NC NF 15 60.5 15875 73 455 57125 13 C F 13.1 45 4 1.984375 323 4315625 14 C F 11 50 1 5875 62 39 4.6125 15 C F 16 53 2. 1828125 56 37 3.4171875 16 C F 135 54 15875 63 405 47125 17 C F 39 1 5875 274 2.9125 18 C F 135 542 1.954375 65 40.7 4.515625 19 C NF 132 1.5875 15.1 1.8125 20 C NE 158 29.5 2.38125 3.4 13.7 1 01875 21 C NF 13.5 42 17859375 28.5 28140625 22 C NF 13.4 20 1.984375 42 15.6 2215625 23 C NF 125 31 1.984375 18.5 1.515625 24 C NF 14.7 38 1.984375 47 23.3 2715625 25 NC F 115 63 1.954375 8. 51.5 6.715625 26 NC F 13.7 64.5 1.7859375 84 508 6.6140625 27 NC F 187 583 1.964375 7.1 396 5.115625 28 NC F 158 062 1.5875 50.4 75125 29 NC F 175 622 1.954375 8 447 6015625 30 NC F 15 63 17859375 48 7.1140625 31 NC NF 17 53 1.954375 6.9 36 4915625 32 NC NF 142 46.2 15875 32 3.3125 33 NC NF 112 414 1 5875 302 27125 34 NC NF 16.7 36.2 1.984375 195 2815625 35 NC NF 125 46.9 1 5875 52 36125 36 NC NF 152 43.5 1.954375 5.8 28.3 3.815625 37 C F 15.5 43 1.954375 71 275 5.115625 38 C F 137 43.2 1.984375 59 29.5 3.915625 39 C F 17.8 48 1984375 64 302 4415625 40 C F 41 1.5875 63 47125 41 C F 15 46 2.38125 57 31 331875 42 C F 15 455 1964375 6 305 4.015625 43 C NF 14 40 17859375 26 25140625 44C NF 15.7 24 1.7859375 3.7 83 19140625 45 C NF 151 15875 43 22 27125 46 C NF 14 30 1.954375 43 16 2.315625 47 C NF 146 35 1 984375 39 204 1915625 48 C NF 16 37 1.964375 21 2.115625 49 NC F 17 68 2 38125 113 51 891875 50 NC F 173 56 1.7859375 9.4 38.7 76140525 51 NC F 182 68 238125 89 498 6.51875 52 NC F 15 55.4 1.954375 40.4 6715625 53 NC F 62 2.1828125 8.7 46.7 6.5171875 54 NC F 17 486 238125 8.1 31.6 5.71875 55 NC NF 16 45 1964375 29 4515625 2.1 40 123 282 41 153 65 56 NC 57 NC 58 NC 59 NC 60 NC 61 C 62 C 63 C 64 C 65 C 66 C 67 C 68 C 69 C 70 C 71 C 72 C 16.4 14.8 12 14.5 17.1 14.3 12.5 14.7 16.3 16.2 17.5 16.2 11.3 17.5 13.3 11 14.6 43.5 1.984375 37.7 2.38125 40 1,7859375 40.5 1.7859375 35 2.38125 52 2.38125 64 1.984375 50 2.38125 46.2 2.1828125 47 2.38125 47 2.38125 24.7 1.984375 26.4 1.5875 36 1.984375 24.4 1.7859375 27.2 2.38125 33.6 2.38125 5.1 4.3 4.7 5.2 4.9 6.7 9 7 6.8 7.8 6.6 3.3 2.7 3.8 3.5 4 4.5 27.1 3.115625 22.9 1.91875 28 2.9140625 26 3.4140625 17.9 2.51875 37.7 4.31875 51.5 7.015625 35.3 4.61875 29.9 4.6171875 30.8 5.41875 29.5 4.21875 8.5 1.315625 15.1 1.1125 18.5 1.815625 11.1 1.7140625 16.2 1.61875 19 2.11875 NF NF NF NF NF NF From Example 9.3 (Black Spruce Seedlings), is the intercept significantly zero? Plot the estimated sampling distribution of the intercept. Is it normal? Comment. Calculate a 95% prediction interval for the "Di.change" when the "Ht.change" is 32.1. Is there a significant association (linear) between Ht.change and Di.change ? Intepret the mean bootstrapped slope in the context of the problem. 71 110 28.3 35 Tree Competition Fertilizer Height Heights Diameter Diameter Ht change D change 1 NC F 15 60 1954375 7.4 45 5.415625 2 NC F 9 45.21.190025 52 362 4008375 3 NC F 12 42 17859375 57 30 39140625 4 NC F 13.7 49.5 15875 84 35.8 5 NC F 12 473 15875 62 353 4.6125 6 NC F 12 56.4 1.5875 74 444 5.8125 7 NC NF 16.0 43.5 1.954375 49 26.7 2915625 8 NC NF 14.6 492 1.984375 5.4 34.6 3.415625 9 NC NF 16 54 1934375 38 5.115625 10 NC NF 15.4 45 1.954375 5.1 29.6 3.115625 11 NC NF 117 38 1 3890625 41 26 3 2.7109375 12 NC NF 15 60.5 15875 73 455 57125 13 C F 13.1 45 4 1.984375 323 4315625 14 C F 11 50 1 5875 62 39 4.6125 15 C F 16 53 2. 1828125 56 37 3.4171875 16 C F 135 54 15875 63 405 47125 17 C F 39 1 5875 274 2.9125 18 C F 135 542 1.954375 65 40.7 4.515625 19 C NF 132 1.5875 15.1 1.8125 20 C NE 158 29.5 2.38125 3.4 13.7 1 01875 21 C NF 13.5 42 17859375 28.5 28140625 22 C NF 13.4 20 1.984375 42 15.6 2215625 23 C NF 125 31 1.984375 18.5 1.515625 24 C NF 14.7 38 1.984375 47 23.3 2715625 25 NC F 115 63 1.954375 8. 51.5 6.715625 26 NC F 13.7 64.5 1.7859375 84 508 6.6140625 27 NC F 187 583 1.964375 7.1 396 5.115625 28 NC F 158 062 1.5875 50.4 75125 29 NC F 175 622 1.954375 8 447 6015625 30 NC F 15 63 17859375 48 7.1140625 31 NC NF 17 53 1.954375 6.9 36 4915625 32 NC NF 142 46.2 15875 32 3.3125 33 NC NF 112 414 1 5875 302 27125 34 NC NF 16.7 36.2 1.984375 195 2815625 35 NC NF 125 46.9 1 5875 52 36125 36 NC NF 152 43.5 1.954375 5.8 28.3 3.815625 37 C F 15.5 43 1.954375 71 275 5.115625 38 C F 137 43.2 1.984375 59 29.5 3.915625 39 C F 17.8 48 1984375 64 302 4415625 40 C F 41 1.5875 63 47125 41 C F 15 46 2.38125 57 31 331875 42 C F 15 455 1964375 6 305 4.015625 43 C NF 14 40 17859375 26 25140625 44C NF 15.7 24 1.7859375 3.7 83 19140625 45 C NF 151 15875 43 22 27125 46 C NF 14 30 1.954375 43 16 2.315625 47 C NF 146 35 1 984375 39 204 1915625 48 C NF 16 37 1.964375 21 2.115625 49 NC F 17 68 2 38125 113 51 891875 50 NC F 173 56 1.7859375 9.4 38.7 76140525 51 NC F 182 68 238125 89 498 6.51875 52 NC F 15 55.4 1.954375 40.4 6715625 53 NC F 62 2.1828125 8.7 46.7 6.5171875 54 NC F 17 486 238125 8.1 31.6 5.71875 55 NC NF 16 45 1964375 29 4515625 2.1 40 123 282 41 153 65 56 NC 57 NC 58 NC 59 NC 60 NC 61 C 62 C 63 C 64 C 65 C 66 C 67 C 68 C 69 C 70 C 71 C 72 C 16.4 14.8 12 14.5 17.1 14.3 12.5 14.7 16.3 16.2 17.5 16.2 11.3 17.5 13.3 11 14.6 43.5 1.984375 37.7 2.38125 40 1,7859375 40.5 1.7859375 35 2.38125 52 2.38125 64 1.984375 50 2.38125 46.2 2.1828125 47 2.38125 47 2.38125 24.7 1.984375 26.4 1.5875 36 1.984375 24.4 1.7859375 27.2 2.38125 33.6 2.38125 5.1 4.3 4.7 5.2 4.9 6.7 9 7 6.8 7.8 6.6 3.3 2.7 3.8 3.5 4 4.5 27.1 3.115625 22.9 1.91875 28 2.9140625 26 3.4140625 17.9 2.51875 37.7 4.31875 51.5 7.015625 35.3 4.61875 29.9 4.6171875 30.8 5.41875 29.5 4.21875 8.5 1.315625 15.1 1.1125 18.5 1.815625 11.1 1.7140625 16.2 1.61875 19 2.11875 NF NF NF NF NF NF