Questions: Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: y-hat = 16.944 + 26.564 Use your regression equation to predict the weight of a 9-month-old Holstein calf on the farm. Round your answer to the nearest whole number.

Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: y-hat = 16.944 + 26.564 Use your regression equation to predict the weight of a 9-month-old Holstein calf on the farm. Round your answer to the nearest whole number.
Transcript text: (b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: $\hat{y}=16.944+26.564$ (c) Use your regression equation to predict the weight of a 9 -month-old Holstein calf on the farm. Round your answer to the nearest whole number.
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Solution

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Solution Steps

Step 1: Identify the Regression Equation

The given regression equation is: \[ \hat{y} = 16.944x + 26.564 \]

Step 2: Substitute the Given Value

To predict the weight of a 9-month-old Holstein calf, substitute \( x = 9 \) into the regression equation: \[ \hat{y} = 16.944(9) + 26.564 \]

Step 3: Perform the Calculation

Calculate the value: \[ \hat{y} = 16.944 \times 9 + 26.564 \] \[ \hat{y} = 152.496 + 26.564 \] \[ \hat{y} = 179.06 \]

Final Answer

The predicted weight of a 9-month-old Holstein calf is approximately 179 kilograms.

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