The cost of preparing meals in a school canteen is linearly related to the number ofmeals prepared, as shown in the table. The equation of the least squares regression line which relates them is shown below: cost = 81.5 + 2.10 × number of meals Use the equation to predict the cost of producing 48 meals. (Write your answer in the format $xxx.xx)

Question

The cost of preparing meals in a school canteen is linearly related to the number ofmeals prepared, as shown in the table. The equation of the least squares regression line which relates them is shown below: cost = 81.5 + 2.10 × number of meals Use the equation to predict the cost of producing 48 meals. (Write your answer in the format $xxx.xx)

BlackTom AI · Accepted Answer

We are given a linear relationship between cost and number of meals described by the regression line: cost = 81.5 + 2.10 × (number of meals).

Step 1: Identify the input value. Here, the number of meals is 48.

Step 2: Substitute 48 into the equation for the variable part. Compute 2.10 × 48.

Step 3: Multiply: 2.10 × 48 = 100.8.

Step 4: Add the intercept. Add 81.5 to 100.8 to get the total cost: 81.5 + 100.8 = 182.3.

Step 5: Since the problem asks for the answer in the format $xxx.xx, express 182.3 as $182.30.

Common mistakes to watch for: forgetting the intercept 81.5, miscomputing 2.10 × 48 (e.g., using 2.1 × 48 without aligning decimal places), or failing to format the final amount with two decimals. The procedure above follows the regression model exactly and ensures two-decimal formatting.

类似问题

For the simple linear regression model, the parameter values of the model are calculated by minimize the

Question at position 38 DAEBC

Question at position 36 BCEAD

Question at position 33 CADEB

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单