1. which of these pairs of variables would you expect to be represented by a scatter plot with a negative correlation?

a. a person's height and the person's grade on the math test

b. the depth of the water in a pond and the amount of rainfall

c. the number of miles driven and the number of people on the bus

d. the number of concert tickets purchased and the number of concert tickets still available for purchase

2. what is the significance of a correlation coefficient of 0.3?

a. the points all lie very close to the line of fit, and the line is decreasing.

b. the points all lie very close to the line of fit, and the line is increasing.

c. the points do not follow the line of fit, and the line is decreasing.

d. the points do not follow the line of fit, and the line is increasing.

3. which of the following is true about the exponential function
y=2^x?

a. it increases steadily for all values of x.

b. it increases quickly as x increases.

c. it levels out for large values of x.

d. it slowly grows for large values of x.

4. use the continuous change function a(t)=pe^rt to answer the question.

you invest $3,700 in an account that grows 4.5% each year. what will be your investment amount after 7 years?

a. $4,795.91

b. $4,895.58

c. $5,069.96

d. $5,250.55

5. use the exponential regression equation that best fits the data (10,4), (12,20), (13,35), and (16,300) to estimate the value of y when x = 14.

a. 48.4

b. 64.9

c. 132.3

d. 223.7

6. if you are conducting a survey to determine which american cities are the most exciting in which to live, which of the following samples would be the least biased and most useful?

a. citizens from each city in the running

b. citizens from various cities all across america

c. group of foreign tourists visiting america

d. political leaders in each city in the running

7. use the exponential regression equation that best fits the data (2,7), (3,10), (5,50), and (8,415) to estimate the value of y when x = 7.

a.47.32

b.61.56

c.99.87

d.200.64

8. find the exponential model of best fit for the points (−3137). explain how you got your answer. round values to the nearest hundredth.

9.solve the quadratic equation. show all of your steps.

x^2+3x−5=0

10.the table shows the fat content and calories for the burgers at a fast food chain.

fat (g) 25 44 63 32 37 20 11 52
calories 590 830 1080 680 750 420 310 820

how strong is the correlation between fat content (g) and calories? state what you need to calculate to determine the correlation and interpret the results.

11.the table shows the fat content and calories for the burgers at a fast food chain.

fat (g) 25 44 63 32 37 20 11 52
calories 590 830 1080 680 750 420 310 820

write the best fit line that models the impact of fat content on calories. explain how you got your answer.