Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
We're excited to announce that we've launched a new and improved question bank with enhanced features and a more user-friendly interface.
To access the new question bank, please visit OnePrep.
We believe that this new platform will provide you with a better overall experience. Thank you for your continued support!
Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Two-variable data: Models and scatterplots
Difficulty
Easy
ID: 9296553d
Modded SAT Question Bank by Abdullah Mallik
The figure presents a scatterplot in the x y plane. The numbers 0 through 5, in increments of 1, are indicated along the x-axis. The numbers 0 through 6, in increments of 1, are indicated along the y-axis. There are 11 data points in the scatterplot. The data points begin on the y-axis at 6, and trend almost linearly downward and to the right. The data points end at the point with coordinates 5 comma 1.

Which of the following could be an equation for a line of best fit for the data in the scatterplot?

  1. y equals, negative x, plus 6

  2. y equals, negative x, minus 6

  3. y equals, 6 x, plus 1

  4. y equals, 6 x, minus 1


Tip: Press CTRL/Command to toggle answer
Correct Answer: A
Rationale

Choice A is correct. A line of best fit for the data in a scatterplot is a line that follows the trend of the data with approximately half the data points above and half the data points below the line. Based on the given data, a line of best fit will have a positive y-intercept on or near the point with coordinates 0 comma 6 and a negative slope. All of the choices are in slope-intercept form y equals, m x plus b, where m is the slope and b is the y-coordinate of the y-intercept. Only choice A is an equation of a line with a positive y-intercept at the point with coordinates 0 comma 6 and a negative slope, negative 1.

Choice B is incorrect. This equation is for a line that has a negative y-intercept, not a positive y-intercept. Choices C and D are incorrect and may result from one or more sign errors and from switching the values of the y-intercept and the slope in the equation.

Question Difficulty: Easy
176 / 277 Next