UNIT 11 – STUDY GUIDE

11-N1

1. Using the data in the accompanying dot plot,

What is the mean?

What is the median?

What is the mode?

11-N2 through 11-N3

2. Based on the box plot:

What is the median?

What is the range?

What is the interquartile range?

3. Six of the Earth Science test grades are 100, 95, 55, 85, 75, and 100. For this sample, what is the standard deviation, to the nearest tenth?

Intramural Basketball / Chess Club / Jazz Band / Did Not Participate
Female / 25 / 4 / 31 / 33
Male / 41 / 12 / 27 / 29

11-N4

4. Based on the survey below,

What percentage, to the nearest percent, of the girls played intramural

basketball?

11-N5

5. If the value of the dependent variable y increases as the value of the independent variable x increases, the graph of this relationship could be a

(1) horizontal line (3) line with a negative slope

(2) vertical line (4) line with a positive slope

6. A set of data is graphed on the scatter plot below.

The scatter plot shows

(1) no correlation (3) negative correlation

(2) positive correlation (4) undefined correlation

7. Which relationship can best be described as causal?

(1)  height and intelligence

(2)  shoe size and running speed

(3) number of correct answers on a test and test score

(4) number of students in a class and number of students with brown hair

11-N6

8. Jean invested $380 in stocks. Over the next several years, the value of her investment grew, as shown in the accompanying table.

Year (x) / Value of Stock, in Dollars (y)
2006 / 380
2008 / 395
2011 / 411
2014 / 427
2015 / 445

Write the exponential regression equation for this set of data when is used to represent the year 2006 and y is used to represent the value of the stock, rounding all values to two decimal places.

11-N7 through 11-N8

9. What could be the approximate value of the correlation coefficient for the accompanying scatter plot?

(1) -0.85 (2) -0.16 (3) 0.21 (4) 0.90

10. The table below displays data collected from the census.

Years of Education past 8th grade / Average Yearly Salary
2 / 23,088
4 / 32,552
6 / 39,884
8 / 53,976
9 / 66,144
11 / 80,600

a) Write a linear regression equation, to the nearest integer.

b) Use this equation to predict the salary for someone with 15 years of education past 8th grade.

c) What is the linear correlation coefficient, to the nearest hundredth?

d) Explain what the correlation coefficient suggests in the context of this problem.

11-N9

11. The table below represents the residuals for a line of best fit.

x / 1 / 3 / 5 / 5 / 8 / 11
Residual / 2 / -1 / 1 / -2 / 0 / -1

Plot the residuals.

Using your plot, assess the fit of the line for these residuals and justify your answer.