Questions: By visual inspection, determine the best-fitting regression model for the scatterplot. A. Quadratic B. No pattern C. Linear D. Exponential

By visual inspection, determine the best-fitting regression model for the scatterplot. A. Quadratic B. No pattern C. Linear D. Exponential
Transcript text: By visual inspection, determine the best-fitting regression model for the scatterplot. A. Quadratic B. No pattern C. Linear D. Exponential
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Solution

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Solution Steps

Step 1: Analyze the Scatterplot

Examine the scatterplot to identify the general pattern of the data points. The points appear to form a parabolic shape, opening downwards.

Step 2: Identify Possible Regression Models

Consider the given options for regression models:

  • Quadratic
  • No pattern
  • Linear
  • Exponential
Step 3: Match the Pattern to a Model

Compare the observed pattern in the scatterplot to the characteristics of each regression model:

  • Quadratic: Forms a parabolic shape (U-shaped or inverted U-shaped)
  • No pattern: Random distribution of points
  • Linear: Points form a straight line
  • Exponential: Points form a curve that increases or decreases exponentially

Final Answer

The best fitting regression model for the scatterplot is: A. Quadratic

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