distance from sensor
(5, 18)
(1.5, 7.5)
time (seconds)
21 ft
27 ft
30 ft
57 ft
save and exit

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Line of Best Fit Analysis", "Linear Modeling" ], "new_concepts": [], "current_concepts": [ "Line of Best Fit Analysis", "Linear Modeling", "Scatter Plot Analysis" ] } ## Find the equation of the line of best fit $$ \begin{aligned} &\text{Point 1: } (1.5, 7.5) \ &\text{Point 2: } (5, 18) \ &m = \frac{18 - 7.5}{5 - 1.5} = \frac{10.5}{3.5} = 3 \ &y - 18 = 3(x - 5) \implies y = 3x + 3 \end{aligned} $$ ## Predict the distance at 18 seconds $$ \begin{aligned} &x = 18 \ &y = 3(18) + 3 = 54 + 3 = 57 \end{aligned} $$

(A) 21 ft

(B) 27 ft

(C) 30 ft

(D) 57 ft

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Line of Best Fit Analysis" ] }

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QUESTION IMAGE

Question

Explanation:

Find the equation of the line of best fit

Predict the distance at 18 seconds

Answer: