Spring Break Assignment- 3 of 3. Question 1.

Transcription

1 Question 1. Estimate the value of r. Indicate whether r is closest to 1, 0.5, 0, 0.5 or 1 for the following data sets. Rafael is training for a race by running a mile each day. He tracks his progress by timing each trial run. Trial Run time (min) The value of r for this data is closest to (select). 1/12

2 Question 2. First select the appropriate graph of the data with a line of fit, and then drag and drop numbers into the boxes to complete an equation of the line of fit. Training Run Run Time (min) Select the appropriate graph. A. B. Training Run Training Run C. D. Training Run Training Run 2/12

3 The equation of the line of fit is y = x /12

4 Question 3. The owner of a maple syrup farm is studying the average winter temperature in Fahrenheit and the number of gallons of maple syrup produced. The relationship between the temperature and the number of gallons of maple syrup produced for the past 8 years is shown in the table. Temperature ( F) Number of gallons of maple syrup Select the appropriate graph. A. B. Temperature ( F) Temperature ( F) C. D. Temperature ( F) Temperature ( F) What is the equation of the line of fit? Round the answer to the nearest tenth. The equation of the line of fit is y = (select). Enter the slope and y intercept for the line of fit and complete the explanation to interpret it in the context of the problem. 4/12

5 The slope is and it means that about fewer gallons of maple syrup are produced for each 1 degree Fahrenheit increase in temperature. The y intercept is about, which means that at 0 degrees Fahrenheit, about gallons of maple syrup are produced. 5/12

6 Question 4. The table shows latitudes and average temperatures for several cities. Use your calculator to find an equation for a line of best fit. Round your values to the nearest hundredth. Solve this equation to find the temperature in Panama City, Panama (rounded to the nearest whole number), then identify and interpret the correlation coefficient. City Latitude Average Temperature ( F) Calgary, Alberta 51.0 N 24 Munich, Germany 48.1 N 26 Marseille, France 43.2 N 29 St. Louis, Missouri 38.4 N 34 Seoul, South Korea 37.3 N 36 Tokyo, Japan 35.4 N 38 New Delhi, India 28.4 N 43 Honululu, Hawaii 21.2 N 52 Bangkok, Thailand 14.2 N 58 Panama City, Panama 8.6 N? The equation is y =. The temperature in Panama City, Panama should be around degrees Fahrenheit. The correlation coefficient r is (select), which indicates a (select). 6/12

7 Question 5. Find an exponential model for the data in the given table. If necessary, round a to 1 decimal place and b to 3 decimal places. x y The model is y =. 7/12

8 Question 6. In some states, a driver of a vehicle may not use a handheld cell phone while driving. In one state with this law, 250 randomly selected drivers were surveyed to determine the association between drivers who know the law and drivers who obey the law. The results are shown in the table below. Knows the Law Obeys the Law Yes No Total Yes No Total Complete the table of two-way relative frequencies using percentages. Knows the Law Obeys the Law Yes No Total Yes % % % No % % % Total % % % 8/12

9 Question 7. In some states, a driver of a vehicle may not use a handheld cell phone while driving. In one state with this law, 250 randomly selected drivers were surveyed to determine the association between drivers who know the law and drivers who obey the law. The results are shown in the table below. Knows the Law Obeys the Law Yes No Total Yes 62% 20% 82% No 10% 8% 18% Total 72% 28% 100% What is the relative frequency of drivers who know the law? % of drivers who know the law. 9/12

10 Question 8. The following frequency data shows the number of states, including the District of Columbia, that favored each party in the presidential popular vote in 1976 and in Election 1976 Election Democrat Republican Total Democrat Republican Total What is the conditional relative frequency of a state's popular vote being won by the Democrat in 1976, given that it was won by the Democrat in 2012? If necessary, round to nearest tenth. The conditional relative frequency is %. 10/12

11 Question 9. When Chris used exponential regression on Arizona population data, he obtained the following results: a = 186, b = 1.026, r = When he reviewed the data in his lists, he found he had entered a number incorrectly. Is it more likely that his error was in entering the last population value too high or too low? Complete the justification. Is it more likely that his error was in entering the last population value (select). The growth rate is too (select) and the initial value is too (select). Entering a (select) value for the last population value would have caused the modeled curve to shift "down" at the end and thus "up" at the beginning. 11/12

12 Question 10. The yearly profits of Company A are shown in the table. Year Profit in millions Use the information to find a function P (t ) that models the yearly profits P of the company as a function of t, the number of years since Round a and b to 2 decimal places. The function is given by P (t ) =. 12/12