Question 9 of 15 , Step 1 of 1
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The following table gives the data for the hours students spent on homework and their grades on the first test. The equation of the regression line for this data is $\hat{y} = 49.355 + 0.962 x$ . This equation is appropriate for making predictions at the 0.01 level of significance. If a student spent 30 hours on their homework, make a prediction for their grade on the first test. Round your prediction to the nearest whole number.
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Final Answer: The predicted grade for a student who spent 30 hours on their homework is $78$ .

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Step 1 ：Given the equation of the regression line is $\hat{y} = 49.355 + 0.962 x$ , where $x$ is the hours spent on homework and $\hat{y}$ is the predicted grade on the test.

Step 2 ：Substitute $x = 30$ into the equation to find the predicted grade: $\hat{y} = 49.355 + 0.962 \times 30$ .

Step 3 ：Calculate the value to get the predicted grade.

Step 4 ：Round the predicted grade to the nearest whole number.

Step 5 ：Final Answer: The predicted grade for a student who spent 30 hours on their homework is $78$ .

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