University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

301

Pages:

2
Author:

Dominick Matthews

Algebra II U3 15 WS Quadratic Regression (ROUND ALL ANSWERS TO TWO DECIMAL PLACES.) 1. Find the QUADRATIC equation that best models the data. 1) The following data represents the average maximum and minimum temperatures recorded each month in Raleigh, NC, over a 6-month period. The temperatures recorded are in degrees Fahrenheit. 88.2 Утах 500 85.2 Min 46.5 55.3 62.6 8.8.2 87.1 81.6 Max 72.3 79.0 67.1 68.0 60.4 4::007x² + 2.45K-94.52 ) Find the QUADRATIC equation that best models the data. (11142700 (A 11. 2) (C) Predict the maximum temperature if the minimum temperature is 40. Predict minimum temperature if the maximum temperature is 90. 69,982 67.95 0 284.29 Determine if the data is linear or quadratic. Then find the equation that best models the data. This data table shows the per capita consumption of broccoli, & (in pounds) for the years 1980 through 1989. Let / represent the year, with 10 corresponding to 1980. 2 3 1983 4 2 6 7 8 7 1984 1985 1986 1987 1988 1989 1980 1981 1982 1.8 2.2 2.3 2.7 2.9 3.5 3,6 4,5 Year Pounds 1.6 2000 zoom 3 (A) Find the values for the lingar. or the lingar and quadratic regressions of this data. 19 (B) Determine if the data is linear or quadratic, Why? 10- clncer to I R baby fit (C) (E) What would the per capita consumption of broccoli be in 2005? mption of broce T 60 Write t e the equation that best models the data. the 4.2 (D) In which year was the per capita consumption of broccoli 5 pounds? 1990 y 2005/25) 14.3 pounds. The table compares the weight and wing area of several types of birds. X min 3000 ymin-200 (A) Weight (g) 25 87 47 78 93 143 Wing Area (cm²) 186 245 190 357 Find the values for the elingar linear and and quadratic regressions of this data. 8549 8552 (B) (C) Write the equation that best models, the data. Closer to I Determine if the data is linear or quadratic Why? 4= 0008 6942 +1.865X+62042 (D) Predict the wing area of a bird that weighs 60 ounean. grams (E) 177.44 Predict the weight of a bird with a wing area of 500 cm² between 213-214 21304 4) The table below shows the study time and test scores for a number of students. Study Time (min.) 7 Test Score 61 14 54 17 23 27 63 65 70 33 69 -811 (A) 834 Find the values for the linear and quadratic regressions of this data.. (B) Determine if the data is linear or quadratic. Why? (C) Write the equation that best models the data. =.0076x² + 168x + 56.631 y=.0076x (D) Predict the test score of a student who studies for 60 minutes. 94 (E) How much time would a student who scored 72 have studied for the test? 35 Fred jumps off of a building that is 250 feet high. The table below shows his distance from the ground. Time (sec) 0 Height (ft) 1 250 243 values 2 225 3 205 4 5 175 120 Find the r for the linear for the linear and quadratic d quadratic regressions of this data. (A) (B) Determine if the data is linear or quadratic. Why? (C) Write the equation that best models the data. y-5.14x² +.743x + 248.286 (D) Predict his distance from the ground after 3.5 seconds. 187.89 (E) Predict when he will be at a height of 150 ft. 4.4 sec (F) Predict when he will hit the ground. 7.02 sec 38 75 43 77 1 5)