mdm12Section3_2_OddSolutionsFinal

mdm12Section3_2_OddSolutionsFinal - Q1 Q5 Q9 Q3 Q7 Q11-15...

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Q1 Q3 Q5 Q7 Q9 Q11-15 CHAPTER 3 Section 3.2, pp. 180–183 Solutions to Odd Number Problems 1. a) An outlier is (92, 18), since the rest of the data indicate a positive correlation. b) An outlier is (4, 106), since the rest of the data indicate a negative correlation. Top
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3. Grade12 Average First-Year Average x 2 y 2 xy 85 74 7225 5476 6290 90 83 8100 6889 7470 76 68 5776 4624 5168 78 70 6084 4900 5460 88 75 7744 5625 6600 84 72 7056 5184 6048 76 64 5776 4096 4864 96 91 9216 8281 8736 86 78 7396 6084 6708 85 86 7225 7396 7310 Sum 844 761 71598 58 555 64 654 r = 0.879 307 388 844 10 84.4 761 10 76.1 x y = = = = 2 (10)(64 654) (844)(761) 10(71 598) (844) 1.17 a = = 76.1 (1.167 947 311)(84.4) 22.5 b =− The equation generated by linear regression is: y = 1.17 x – 22.5 Top
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5. a) This appears to be a moderate positive linear correlation. b) Height (cm), x Mass (kg), y x 2 y 2 xy 177 91 31 329 8281 16 107 185 88 34 225 7744 16 280 173 82 29 929 6724 14 186 169 79 28 561 6241 13 351 188 87 35 344 7569 16 356 182 85 33 124 7225 15 470 175 79 30 625 6241 13 825 sum 1249 591 223 137 50 025 105 575 r = 0.654 549 942 1249 7 178.4285714 591 7 84.4285714 x y = = = = 2 (7)(105575) (1249)(591) (7)(223137) (1249) 0.442 a = = 84.4285714 (0.44228804909) (178.4285714) 5.51 b =− = The equation generated by linear regression is y = 0.442 x + 5.51 c) y = 0.442(165) + 5.51 = 78.4 kg d) 79 = 0.442 x + 5.51 x = 166 cm e) The discrepancy between the answer in d) and the actual height is 169 – 166 = 3 cm. The correlation between mass and height is not perfect.
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mdm12Section3_2_OddSolutionsFinal - Q1 Q5 Q9 Q3 Q7 Q11-15...

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