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This page shows questions in the Algebra I Statistics and Probability - Interpreting Data public release module at MSDE. Algebra 1
"Algebra I Statistics and Probability - Interpreting Data"

Select from the list to explore. Read any associated passages and then interact with the questions here.

Expand All Official Practice Test

This is a multiple choice question that allows you to select only one option.

A collection of data is shown in the scatterplot.

The figure shows a scatterplot. The numbers 0 through 10, in increments of 2, are indicated on the horizontal axis. The numbers 0 through 40, in increments of 5, are indicated on the vertical axis. There are 12 data points in the scatterplot. From the position of the data points, it appears that if a line showing the general downward trend of the data were drawn it would pass close to both the points with coordinates 3 comma 29 and 6 comma 24.

Which value is the best estimate of the correlation coefficient of a line of best fit for the data?

  1. A.
    negative 0.9
  2. B.
    negative 0.09
  3. C.
    0.08
  4. D.
    0.8
i1

Correct i2

Chooses an estimate that is off by a factor of 10 i3

Misunderstands what a correlation coefficient is i4

Uses the square of the correlation coefficient

This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

The librarian at a local school collected data on the number of students using the library after school each week during the first 22 weeks of school. The librarian counted the number of students in the library each day and then calculated the total for each week. The weekly totals were plotted in a graph and then a trend line was fit to the data.

Students in the Library

The figure shows a scatterplot. A trend line is drawn. The horizontal axis is labeled, “Week Number,” and the numbers 0, through 25, in increments of 5, are indicated. The vertical axis is labeled, “Number of Students,” and the numbers 0, through 600, in increments of 100, are indicated. There are 22 data points in the scatterplot. The data points begin in the lower left portion of the scatterplot, and trend upward and to the right. The trend line slants upward and to the right. At week 3, the data point indicates 290 students and the trend line indicates 75 students. At week 5, the data point indicates 10 students, and the trend line indicates 105 students. At week 10, the data point indicates 80 students, and the trend line indicates 205 students. At week 22, the data point indicates 505 students, and the trend line indicates 440 students. All values for the numbers of students are approximate.

For which week does the trend line overpredict the number of students using the library by the greatest amount, and for which week does the trend line underpredict the number of students using the library by the greatest amount?

Select from the drop-down menus to correctly complete each sentence.

The trend line overpredicts the number of students using the library by the greatest amount for week  
  .
The trend line underpredicts the number of students using the library by the greatest amount for week  
  .