Pregunta
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a. Write the equation for the line of fit.

b. Use the equation for the line of fit to
predict the grade of a 13 -year-old.

Ask by Ortega Lewis. in the United States
Mar 21,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The equation for the line of fit is . Predicting the grade for a 13-year-old using this equation gives .

Solución

To find the equation for the line of fit, we need to determine the slope and the y-intercept.
Given that the equation is , we can see that the slope is 1 and the y-intercept is 5.
The equation for the line of fit is , where is the slope and is the y-intercept.
Therefore, the equation for the line of fit is .
To predict the grade of a 13-year-old, we substitute into the equation:
So, the predicted grade of a 13-year-old is 18.

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Bonus Knowledge

To derive the equation for the line of fit from your example, you’d typically need a dataset to analyze. However, from your expression, it seems you’re simplifying to find an intercept form. You might need to clarify the variables and what they represent, as it appears a little muddled!
To predict the grade for a 13-year-old, if we assume the line of fit resolves to a linear relationship based on age, simply plug in into the derived equation (e.g., ). If your line of fit was , your prediction would be . This indicates the grade for a 13-year-old might commonly fall around the 6th-7th grade, depending on the educational system!
To ensure accuracy, always check the dataset and how age correlates with grades!

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