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The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

1) y = 2x + 3
2) y = 3x + 2
3) y = 5x + 1
4) y = 4x + 2

1 Answer

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Final answer:

To determine the linear model for the number of pages read based on minutes spent reading from a scatterplot, one must analyze the data to find the slope and y-intercept and select the equation that best fits the given data points.

Step-by-step explanation:

The question involves creating a linear model to predict the number of pages a student reads in a given amount of time, based on a scatterplot of minutes spent reading (independent variable) versus the number of pages read (dependent variable). To determine which equation represents the linear model, we would look for a line of best fit—a least-squares regression line that best represents the data. Assuming you're given the scatterplot information or specific data points, you would calculate the slope (m) and y-intercept (b) of the linear equation in the format y = mx + b. Since the specific data from the scatterplot isn't provided in the question, we cannot calculate the exact equation. However, the equations provided, namely equations 1 to 4, illustrate different possible slopes and y-intercepts. You would need to analyze the data to determine the correct slope and y-intercept, and then select the matching equation accordingly.

User Matt Lowden
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