问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: The relation between the selling price of a car (in $1,000) and its age (in years) is estimated from a random sample of cars of a specific model. The relation is given by the following formula: Selling price = 15.9 – 0.983 (age) Which of the following can we conclude from this equation?
A. For every year the car gets older, the selling price goes down by approximately 9.83 percent.
B. A new car costs on the average $9,830.
C. For every year the car gets older, the selling price drops by approximately $1,590.
D. For every year the car gets older, the selling price drops by approximately $983.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D. For every year the car gets older, the selling price drops by approximately $983.
D
deepseekr1

The correct answer is **D**. The equation's slope coefficient (-0.983) indicates that for each additional year of age, the selling price decreases by 0.983 thousand dollars (i.e., $983). Options A and C incorrectly interpret the coefficient as a percentage or conflate the intercept, respectively, while B misstates the intercept value.

Answer: D
D
gpto1 D D
GPT-4o D. For every year the car gets older, the selling price drops by approximately $983. D
llama3.1-70B-Instruct

D
D
llama3.1-405B-Instruct

D. For every year the car gets older, the selling price drops by approximately $983.
D
DeepSeek-Coder-V2 D D
Qwen2-72B-Instruct D. For every year the car gets older, the selling price drops by approximately $983. D
baichuan4 D D
doubao D

The coefficient of age is -0.983, which means for every year the car gets older, the selling price drops by 0.983 in thousands of dollars, which is approximately $983.
D
minimax D. For every year the car gets older, the selling price drops by approximately $983. D
kimi D. For every year the car gets older, the selling price drops by approximately $983.

Explanation: The formula given is Selling price = 15.9 – 0.983 (age). This means that for each year increase in age, the selling price decreases by $0.983 thousand, which is equivalent to $983.
D
wenxinyiyan D

Explanation:
The given equation is: Selling price = 15.9 – 0.983 (age)
This equation represents a linear relationship between the selling price (in $1,000) and the age (in years) of a car.

Let's analyze each option:

A. The coefficient -0.983 represents the change in selling price (in $1,000) for every one-year increase in age. It does not represent a percentage change. So, this option is incorrect.

B. To estimate the price of a new car (i.e., when age = 0), we can substitute age = 0 in the equation:
Selling price = 15.9 – 0.983(0) = 15.9
This means a new car costs on average $15,900 (since the prices are in $1,000), not $9,830. So, this option is incorrect.

C. The coefficient -0.983 represents the decrease in selling price (in $1,000) for every one-year increase in age. So, the selling price drops by $983 (since -0.983 * $1,000 = -$983), not $1,590. This option is incorrect.

D. As explained in option C, the coefficient -0.983 represents the decrease in selling price (in $1,000) for every one-year increase in age. So, the selling price drops by approximately $983 for every year the car gets older. This option is correct.
D
zhipu D. For every year the car gets older, the selling price drops by approximately $983.

Explanation: The equation "Selling price = 15.9 – 0.983 (age)" indicates that for each additional year the car ages, the selling price decreases by 0.983 (in $1,000). Therefore, the selling price drops by approximately $983 per year. This directly corresponds to option D.

- Option A is incorrect because the decrease is in dollars, not as a percentage.
- Option B is incorrect because the intercept (15.9) represents the estimated selling price of a car when its age is zero (in $1,000), which is $15,900, not $9,830.
- Option C is incorrect because the decrease per year is $983, not $1,590.
D
gpto1 D D
deepseekv3 The equation provided is: Selling price = 15.9 – 0.983 (age). Here, the selling price is in $1,000 and the age is in years.

The coefficient of "age" is -0.983, which means that for every additional year the car gets older, the selling price decreases by $0.983 (in $1,000 units). Converting this to actual dollars, the selling price drops by $983 for every year the car gets older.

Thus, the correct answer is:

**D. For every year the car gets older, the selling price drops by approximately $983.**
D