28 82 b. Using the LINear REGression program, the line of best fit is: x ( ) = 0.3734H + C H Weight 7.3268 c. Answers will vary. We will use the points (42.3, (42.8, c. For each 1 inch increase in height, the 82) and 93) . circumference increases by 0.3734 inch. = 93 − 82 = 11 = 22 m (26) (26) d. = 0.3734 + 7.3268 ≈ C 42.8 − 42.3 0.5 ( 17.0 − 82 = 22 − 42.3) y x inches − 82 = 22 − 930.6 y x e. To find the height, we solve the following − = 22 848.6 y x equation: d. 17.4 = 0.3734H + 7.3268 y 94 = 10.0732 0.3734H 92 ≈ 26.98 H 90 A child with a head circumference of 17.4 inches would have a height of about 26.98 inches. 28. a. 14 88 86 84 82 x 0 175 0 Weight (grams) Using the LINear REGression program, b. e. Let represent the number of raisins in the N the line of best fit is: box, and let represent the weight (in w (G ) = + 7.8738 L grams) of the box of raisins. ( c. For each 1 day increase in Gestation = 22w − 848.6 N w) period, the life expectancy increases by (42.5) ( 0.0261 years (about 9.5 days). = 22 42.5) − 848.6 = 86.4 f. N (89) We predict that approximately 86 raisins d. = 0.0261(89) + 7.8738 ≈ 10.2 L will be in a box weighing 42.5 grams. years g. The slope of the line found is 22 raisins per gram. This means that if the weight is to be increased by one gram, then the number of raisins must be increased by 22 raisins.
28 82 x Weight c. Answers will vary. We will use the points (42.3, 82) and (42.8, 93) . m = 93 − 82 = 11 = 22 42.8 − 42.3 0.5 y − 82 = 22 ( x − 42.3) y − 82 = 22 x − 930.6 y = 22 x − 848.6 d. y 94 92 90 b. Using the LINear REGression program, the line of best fit is: C ( H ) = 0.3734H + 7.3268 c. For each 1 inch increase in height, the circumference increases by 0.3734 inch. d. C (26) = 0.3734 (26) + 7.3268 ≈ 17.0 inches e. To find the height, we solve the following equation: 17.4 = 0.3734H + 7.3268 10.0732 = 0.3734H 26.98 ≈ H A child with a head circumference of 17.4 inches would have a height of about 26.98 inches. 88 28. a. 14 86 84 82 x Weight (grams) e. Let N represent the number of raisins in the box, and let w represent the weight (in grams) of the box of raisins. N ( w) = 22w − 848.6 f. N (42.5) = 22 ( 42.5) − 848.6 = 86.4 We predict that approximately 86 raisins will be in a box weighing 42.5 grams. 0 175 0 b. Using the LINear REGression program, the line of best fit is: L (G ) = + 7.8738 c. For each 1 day increase in Gestation period, the life expectancy increases by 0.0261 years (about 9.5 days). d. L (89) = 0.0261(89) + 7.8738 ≈ 10.2 years g. The slope of the line found is 22 raisins per gram. This means that if the weight is to be increased by one gram, then the number of raisins must be increased by 22 raisins.
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