Sigma Prep · sigmaprep.io/worksheets Name Using Statistical ModelsAnswer keyVersion 1Date Period Answer each question. - A model for the temperature in a greenhouse, in degrees Fahrenheit, is y=−0.2x2+5.6x+60.8, where x is the number of hours after midnight. For which values of x is y=97? Round to the nearest whole number.x≈10 and x≈18
- If y is the number of wolves in a park x years after 1980, a model is y=47(1.12)x. What does the y-intercept mean?In 1980 there were about 47 wolves in the park.
- Find the line of best fit and r2, each to the nearest hundredth.xy3041536−37−68−9y=−2.06x+8.98, r2=0.72
- A model for a car's gas mileage, in miles per gallon, is y=−0.02x2+2.28x−32.98, where x is its speed in miles per hour. Find y when x=63, to the nearest tenth.31.3
- If y is the value of a house, in thousands of dollars, x years after 2000, a model is y=75(0.9)x. What does the y-intercept mean?In 2000 the house was worth about 75 thousand dollars.
- Find the line of best fit and r2, each to the nearest hundredth.xy32611918122515391846y=2.96x−7.60, r2=0.99
- A model for the cost to make each item, in dollars, is y=0.02x2−0.44x+11.42, where x is the number made, in hundreds. For which values of x is y=10? Round to the nearest whole number.x≈4 and x≈18
- If y is the number of wolves in a park x years after 2000, a model is y=45(0.95)x. What does the y-intercept mean?In 2000 there were about 45 wolves in the park.
- Find the line of best fit and r2, each to the nearest hundredth.xy55987811106141211714720164y=7.11x+23.57, r2=1.00
- A model for the height of a model rocket, in feet, is y=−16x2+128x+437, where x is the number of seconds after launch. For which values of x is y=558? Round to the nearest whole number.x≈1 and x≈7
- If y is the number of oysters in a bay, in thousands, x years after 1980, a model is y=44.2(0.9)x. What does the y-intercept mean?In 1980 there were about 44.2 thousand oysters in the bay.
- Find the line of best fit and r2, each to the nearest hundredth.xy23443764485310671269y=3.91x+23.27, r2=0.96
- A model for the cost to make each item, in dollars, is y=0.03x2−1.62x+27.87, where x is the number made, in hundreds. Find y when x=16, to the nearest tenth.9.6
- If y is the number of oysters in a bay, in thousands, x years after 2000, a model is y=36.9(1.04)x. What does the y-intercept mean?In 2000 there were about 36.9 thousand oysters in the bay.
- Find the line of best fit and r2, each to the nearest hundredth.xy173125177159211126y=1.71x+6.05, r2=0.92
- A model for the height of a model rocket, in feet, is y=−16x2+224x+30, where x is the number of seconds after launch. Find y when x=4, to the nearest tenth.670.0
- If y is the number of farms in a county, in hundreds, x years after 1950, a model is y=78(1.06)x. What does the y-intercept mean?In 1950 the county had about 78 hundred farms.
- Find the line of best fit and r2, each to the nearest hundredth.xy1202223184125961y=−4.00x+27.67, r2=0.89
- A model for a store's weekly profit, in hundreds of dollars, is y=−0.12x2+4.8x+13, where x is the price of an item, in dollars. For which values of x is y=43? Round to the nearest whole number.x≈8 and x≈32
- If y is the population of a town, in thousands, x years after 2000, a model is y=18.3(0.85)x. What does the y-intercept mean?In 2000 the town had about 18.3 thousand people.
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