Pregunta
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a. Write the equation for the line of fit. \( y=1 \times 5=5-5 \) 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

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The equation for the line of fit is \( y = x + 5 \). Predicting the grade for a 13-year-old using this equation gives \( y = 18 \).

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 \( y = 1 \times 5 = 5 - 5 \), we can see that the slope is 1 and the y-intercept is 5. The equation for the line of fit is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Therefore, the equation for the line of fit is \( y = 1x + 5 \). To predict the grade of a 13-year-old, we substitute \( x = 13 \) into the equation: \( y = 1(13) + 5 \) \( y = 13 + 5 \) \( y = 18 \) 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 \(x = 13\) into the derived equation (e.g., \(y = mx + b\)). If your line of fit was \(y = 1x + 5\), your prediction would be \(y = 1(13) + 5 = 18\). 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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