Home / Digital SAT Math Practice Questions – Medium : Two-variable data: models and scatterplots

Digital SAT Math Practice Questions – Medium : Two-variable data: models and scatterplots

Digital SAT Math Practice Questions - Medium : Two-variable data: models and scatterplots - New Syllabus

DSAT MAth Practice questions – all topics

  • Problem-solving and Data Analysis Weightage: 15%  Questions: 5-7
    • Ratios, rates, proportional relationships, and units
    • Percentages
    • One-variable data: distributions and measures of centre and spread
    • Two-variable data: models and scatterplots
    • Probability and conditional probability
    • Inference from sample statistics and margin of error
    • Evaluating statistical claims: observational studies and Experiments

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DSAT MAth and English  – full syllabus practice tests

Question Medium

In the given scatterplot, a line of best fit for the data is shown.

Scatterplot with line of best fit

Which of the following is closest to the slope of this line of best fit?

A) 7

B) 0.7

C) -0.7

D) -7

▶️ Answer/Explanation
Solution

Answer: C

The line of best fit slopes downward, indicating a negative slope. Using points (0, 8) and (10, 1), the slope is \( \frac{1 – 8}{10 – 0} = \frac{-7}{10} = -0.7 \), which is closest to -0.7.

Question Medium

In a school debate club, each student earns 2 credits if they participate in a debate and lose, and 4 credits if they participate in a debate and win. A student receives an award after earning 100 credits. The credits needed for the award can be modeled by the equation \(2x + 4y = 100\), where \(x\) is the number of times a student participated in a debate and lost, and \(y\) is the number of times the student participated in a debate and won. Which graph represents this situation?

Graph options

▶️ Answer/Explanation
Solution

Answer: A

The equation \(2x + 4y = 100\) has an \(x\)-intercept at (50, 0) when \(y = 0\), and a \(y\)-intercept at (0, 25) when \(x = 0\). The correct graph should pass through these points.

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