Unit 6 Review

1. Unit 6 Review

2. Median-Median Line Find the median-median line for the following data: (1, 4) (6, 8) (7, 11) (7.5, 10) (8, 9) (9, 12) (9.5, 17) (10, 14) (12, 16) 1.

3. 2. The table above shows the number of people y who rode the roller coaster at an amusement park x hours after the park had opened. Which type of function could the data in the scatter plot best be modeled by? • Cubic B. Exponential • C. Linear D. Quadratic

4. 3. The chart above show the teachers’ salary y in a certain school district, where x is the number of years of experience. Find a model for the data and use the linear regression to estimate (extrapolate) a teacher’s salary with 9 years of experience. y=1739x+28,950; $44,601

5. 4. Write the equation of a quadratic function whose graph has x-intercepts (-4, 0) and (2, 0) and passes through the point (3, 21). A. y= (x +4)(x - 2) B. y = 3(x+4)(x - 2) C. y= (x - 4)(x - 2) D. y= 3(x - 4)(x - 2)

6. 5. Draw a scatter plot of the following data. Use the scatter plot to estimate the value of the correlation coefficient. • -1 • -0.5 • 0.5 • 1 • Now, match the following to the answer choices above: • Strong positive correlation 2. Strong negative correlation • 3. Weak positive correlation 4. Weak negative correlation

7. 6. The scatter plot gives the average class score y on each chapter test for the first 6 chapters x of the textbook. The linear regression line for the data is y =1.3x + 82.1 . Predict the average class score on the chapter 9 test. About 94

8. 7. Which choice describes data that have a negative correlation? • When the data points are graphed, they appear to form a vertical line. • When the data points are graphed, they rise from left to right. • When the data points are graphed, they appear to form a horizontal line. • When the data points are graphed, they fall from left to right.

9. 8. • This scatter plot shows the relationship between the amounts of money spent updating a company’s website and the profit they made. Which statement best summarizes the relationship? • A. As spending on updating their website goes up, profits go up. • B. As spending on updating their website goes up, profits go down. • C. As spending on updating their website goes down, profits go down. • D. There is no relationship between money spent updating websites and profit.

10. 9. Which of the following could be a line of best fit for the following scatter plot? • A. y = 2x+6 • B. y = -2x+6 • C. y = -2x-6 • D. y = 2x-6

11. 10. Write the equation in vertex form of the parabola with vertex (-2, -3) containing the point (0, 5). A. B. C. D.

12. 11. Which statement best describes the correlation of the following data? • Positive Correlation B. Negative Correlation • C. Approximately No Correlation D. None of the Above

13. 12. Mrs. Marcello sells televisions at an electronics store. She made a scatter plot to determine the relationship between the sizes and prices of a random sample of television sets. She then sketched a line of best fit. Which is the best prediction (interpolation) of the cost of a 60-in tv? • $1,600 • $1,300 • $1,900 • $2,200

14. The scatter plot compares the number of times a movie was rented last week to the number of weeks it has been available on DVD. Which is the best prediction of the number of times a video will be rented after it has been available for 7 weeks? 13. • 7 times • 6 times • 5 times • 4 times

15. Which type of function could the data in the scatter plot best be modeled by? 14. • Cubic B. Logarithmic • C. Linear D. Quadratic