2612 Scatter Plot Transformation Squared

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| By Anthony Nunan
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Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 44,578
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2612 Scatter Plot Transformation Squared - Quiz

X and y squared transformations


Questions and Answers
  • 1. 

    The y squared transformation linearises the scatter plot by?

    • A.

      Squaring the y axis values

    • B.

      Stretching the y axis value

    • C.

      Squaring the x axis values

    • D.

      Stretching the x axis value

    Correct Answer(s)
    A. Squaring the y axis values
    B. Stretching the y axis value
    Explanation
    The y squared transformation involves squaring the y-axis values, which helps to linearize the scatter plot. Additionally, this transformation also stretches the y-axis values, further aiding in linearizing the plot. This transformation is useful when the relationship between the x and y variables is non-linear, as it helps to make the relationship more linear and easier to analyze.

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  • 2. 

    The x squared transformation linearises the scatter plot by?

    • A.

      Squaring the y axis values

    • B.

      Stretching the y axis value

    • C.

      Squaring the x axis values

    • D.

      Stretching the x axis value

    Correct Answer(s)
    C. Squaring the x axis values
    D. Stretching the x axis value
    Explanation
    The x squared transformation linearizes the scatter plot by squaring the x-axis values and stretching the x-axis value. This transformation helps to spread out the data points along the x-axis, making the relationship between the variables more linear. Squaring the x-axis values can also help to reduce the impact of outliers and extreme values, as they are magnified when squared. Stretching the x-axis value further enhances the linearization process by increasing the distance between the data points on the x-axis, making the relationship more apparent.

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  • 3. 

    The scatter plot above will potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It is is the wrong quadrant for these transformations

    Correct Answer
    B. Y squared transformation
    Explanation
    A y squared transformation could potentially linearize the scatter plot shown above. By squaring the y-values, any nonlinear relationship between the x and y variables may become more linear. This transformation can help to reduce the curvature in the data and make it easier to fit a straight line through the points.

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  • 4. 

    The scatter plot above will potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It is is the wrong quadrant for these transformations

    Correct Answer
    C. It is is the wrong quadrant for these transformations
    Explanation
    The scatter plot cannot be linearized with x squared or y squared transformations because these transformations would result in a curved relationship between the variables, not a linear one. Additionally, the statement suggests that the scatter plot is in the wrong quadrant for these transformations, implying that the data does not follow a pattern that can be linearized using any transformation.

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  • 5. 

    The scatter plot above will potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It is is the wrong quadrant for these transformations

    Correct Answer
    A. X squared transformation
    Explanation
    The scatter plot can potentially be linearized with an x squared transformation. This means that by taking the square of the x-values, the relationship between the x and y variables may become more linear. This transformation can help to reduce any non-linear patterns or relationships in the data and make it easier to fit a straight line through the points.

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  • 6. 

    The scatter plot above will potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It is is the wrong quadrant for these transformations

    Correct Answer(s)
    A. X squared transformation
    B. Y squared transformation
    Explanation
    The scatter plot can potentially be linearized with either an x squared transformation or a y squared transformation. These transformations involve taking the square of either the x-values or the y-values, which can help to create a linear relationship between the variables. However, it is important to note that these transformations may not be effective if the scatter plot is in the wrong quadrant for these transformations.

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  • 7. 

    Which quadrants have potential for an x squared transformation

    • A.

      Quadrant 1

    • B.

      Quadrant 2

    • C.

      Quadrant 3

    • D.

      Quadrant 4

    Correct Answer(s)
    A. Quadrant 1
    D. Quadrant 4
    Explanation
    An x squared transformation refers to a transformation of the form y = ax^2, where a is a constant. In this case, the transformation is only dependent on the value of x and not y. When x is positive, the result of x squared will also be positive. Therefore, Quadrant 1 and Quadrant 4, which have positive x values, have the potential for an x squared transformation. Quadrant 2 and Quadrant 3, which have negative x values, do not have potential for this transformation.

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  • 8. 

    Which quadrants have potential for a y squared transformation

    • A.

      Quadrant 1

    • B.

      Quadrant 2

    • C.

      Quadrant 3

    • D.

      Quadrant 4

    Correct Answer(s)
    A. Quadrant 1
    B. Quadrant 2
    Explanation
    A y squared transformation involves squaring the y-coordinate of a point. In Quadrant 1, both the x and y coordinates are positive, so squaring the y-coordinate will still result in a positive value. Similarly, in Quadrant 2, the x-coordinate is negative but the y-coordinate is positive, so squaring the y-coordinate will also result in a positive value. Therefore, both Quadrant 1 and Quadrant 2 have the potential for a y squared transformation.

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  • 9. 

    The residual plot above shows the original data is potentially from which quadrants

    • A.

      Quadrant 1

    • B.

      Quadrant 2

    • C.

      Quadrant 3

    • D.

      Quadrant 4

    Correct Answer(s)
    A. Quadrant 1
    B. Quadrant 2
    Explanation
    The residual plot above shows that the original data is potentially from Quadrant 1 and Quadrant 2. This is indicated by the positive residuals in the upper left region of the plot, suggesting that the actual values are higher than the predicted values in that area. The presence of positive residuals in Quadrant 1 and Quadrant 2 indicates that the model tends to underestimate the values in those regions.

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  • 10. 

    The residual plot above shows the original data is potentially from which quadrants

    • A.

      Quadrant 1

    • B.

      Quadrant 2

    • C.

      Quadrant 3

    • D.

      Quadrant 4

    Correct Answer(s)
    C. Quadrant 3
    D. Quadrant 4
    Explanation
    The residual plot above shows that the original data is potentially from Quadrant 3 and Quadrant 4. This can be inferred from the fact that the residuals (the vertical distances between the observed data points and the regression line) in these quadrants are predominantly positive. This indicates that the actual data points tend to be above the predicted values, suggesting a potential positive bias or overestimation in the model.

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  • 11. 

    The residual plot above shows the original data can potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It can't be linearised with a squared transformation

    Correct Answer
    A. X squared transformation
    Explanation
    The correct answer is x squared transformation because the residual plot suggests that there is a non-linear relationship between the variables. By squaring the x values, it is possible to transform the data and make it more linear, which can improve the accuracy of a linear regression model.

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  • 12. 

    The residual plot above shows the original data can potentially be linearised with :

    • A.

      X squared transformation

    • B.

      Y squared transformation

    • C.

      It can't be linearised with a squared transformation

    Correct Answer
    C. It can't be linearised with a squared transformation
    Explanation
    The residual plot above suggests that the original data cannot be linearized with a squared transformation. This means that applying a squared transformation to either the x or y variables will not result in a linear relationship between the variables.

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  • 13.