1. Which of the following phrases is an example of numerical data?

a)a student’s hair color

b)a student’s favorite class

c)a student’s age

d)a student’s lunch period

  1. What is the difference between the interquartile range of the data set represented by the upper box plot and the interquartile range of the data set represented by the lower box plot?

The box-and-whisker plot shows the lifespan, in days, of two different brands of 60-watt light bulbs. Which data set has a greater median? About how much greater is the median of that data set?

Brand A

Brand B

  1. Which of the following is true about these two data sets?

{71, 71, 75, 77, 83, 91, 92} and {73, 75, 76, 76, 83, 87, 90}

a.The medians are equal.c.The means are equal.

b.The ranges are equal.d.The variances are equal.

  1. Identify the outlier in the data set {42, 13, 23, 24, 5, 5, 13, 8}, and determine how the outlier affects the mean, median, mode, and range of the data.
  1. Joyce asked 50 randomly-selected students at her school whether they have one or more brothers or sisters. The table shows the results of Joyce’s poll.

Make a table of the joint and marginal relative frequencies. Express percentages in decimal form.

a.

b.

c.

d.

  1. Identify the correlation you would expect to see between the population of a city and the number of homes in the city.

a.no correlation

b.positive correlation

c.negative correlation

d.not enough information to decide

  1. Find the equation that best fits the data.
  1. Jude researched the prices of several different models of cell phones and made a scatter plot of his data. The equation of the line of best fit for Jude’s data is , where p is the price of the phone and t is the number of months that the phone has been available. What is the real-world meaning of the slope of this line?

a)A phone’s price increases by about $2.76 each month that it is available.

b)The original price of each phone was $2.76.

c)A phone’s price decreases by about $2.76 each month that it is available.

d)The original price of each phone was $99.05.

  1. The scatter plot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has. Based on this relationship, predict what the total sales will be when the store has 110 different rug designs.

a.$0c.$35,000

b.$31,000d.$38,000

  1. Which quantities are most likely to have a cause-and-effect relationship?

a)The amount of ice cream sold and the number of people wearing sunglasses

b)The average number of televisions per household in a country and the country’s average life expectancy

c)The level of nutrients in soil and the rate of plant growth

d)A student’s grade in history class and the student’s grade in math class

  1. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.

a)The slope is . The slope means that the amount of money in the account is decreasing at a rate of $50 every week.

b)The slope is 50. The slope means that the amount of money in the account is increasing at a rate of $50 every week.

c)The slope is . The slope means that the amount of money in the account is decreasing at a rate of $0.02 every week.

d)The slope is . The slope means that the amount of money in the account is decreasing at a rate of $50 every 2 weeks.

  1. Find the approximate correlation coefficient for a linear model for the data.

a) 2.6b) -2.6c) 1d) -1

  1. The graph models the total cost of renting a bike. Write an equation for the line in slope-intercept form. Explain the meaning of the slope and the y-intercept of the line.
  1. Which statement is always true?

a)If two variables have a positive correlation, then the variables have a cause-and-effect relationship.

b)If two variables do not have a cause-and-effect relationship, then the variables have no correlation.

c)If two variables have a negative correlation, then the variables do not have a cause-and-effect relationship.

d)If two variables have a cause-and-effect relationship, then the variables will have a correlation.

  1. Use technology to find the correlation coefficient for a linear model for the data. Round your answer to the nearest hundredth.

x / –2.5 / 3.5 / 0.5 / 1.6 / –2 / –1.3
y / 4.4 / –0.4 / 1 / 1.7 / 3 / 4
  1. The number of calls answered by a paramedic team over an 8-day period are given. Use the data to make a box-and-whisker plot.

12, 6, 8, 15, 14, 6, 14, 10

  1. Suppose that the table shows the prices of milk and apples for 8 supermarkets. The equation for the least squares line for the data is and . Discuss correlation and causation for the data set.

Price, One Pound Red Delicious Apples / $0.99 / $1.29 / $1.19 / $1.09 / $0.99 / $1.29 / $1.29 / $1.19
Price, One Gallon Whole Milk / $2.59 / $2.89 / $2.69 / $2.55 / $2.59 / $2.99 / $2.89 / $2.79
  1. There is a strong positive correlation between the price of apples and the price of milk.

There is a likely cause-and-effect relationship because shoppers often buy both apples and milk at the same time.

  1. There is a very weak positive correlation between the price of apples and the price of milk.

There is a likely cause-and-effect relationship because shoppers often buy both apples and milk at the same time.

  1. There is a strong positive correlation between the price of apples and the price of milk.

There is not a likely cause-and-effect relationship because other factors, such as transportation costs, likely affect both apple and milk prices.

  1. There is a very weak positive correlation between the price of apples and the price of milk.

There is not a likely cause-and-effect relationship because other factors, such as transportation costs, likely affect both apple and milk prices.

  1. On a math exam the scores of ten students were 56, 80, 93, 98, 76, 88, 66, 83, 99, and 70.

a) Find the mean.

b)Find the standard deviation to the nearest tenth.

  1. Find, in terms of x, the mean of 6x +10, 10x – 22, and 8x + 12.
  1. The table shows the distances for winning shot puts at a high school track meet from the years 2002 to 2011.

Winning Girls’ Shot Put Distances
Year / 02 / 03 / 04 / 05 / 06 / 07 / 08 / 09 / 10 / 11
Distance (ft) / 30.4 / 31.1 / 32.5 / 33.0 / 33.9 / 34.6 / 35.2 / 35.0 / 36.4 / 36.4

Part A: Make a scatter plot of the ten data points. Let x represent the number of years after 2001 and y represent the winning distance that year.

Part B: Use technology to perform a linear regression. What is the equation of the linear regression model? Round the slope and y-intercept to the nearest hundredth. Graph the equation on the scatter plot for Part A.

Part C:Use technology to find the correlation coefficient for the linear model. Round your answer to the nearest hundredth. What does this tell you about the linear regression model?