which of these linear equations best describes the given model?

choose 1 answer:
(a) $\hat{y} = 2x + 10$
(b) $\hat{y} = x + 10$
(c) $\hat{y} = 2x$
(d) $\hat{y} = x$

Question

which of these linear equations best describes the given model?

choose 1 answer:
(a) $\hat{y} = 2x + 10$
(b) $\hat{y} = x + 10$
(c) $\hat{y} = 2x$
(d) $\hat{y} = x$

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" ], "new_concepts": [], "current_concepts": [ "Line of Best Fit", "Slope Estimation", "Scatter Plots" ] } ## Identify points on the line of best fit The line passes through the origin $(0, 0)$ and the point $(90, 90)$. ## Calculate the slope and y-intercept $$ \begin{aligned} m &= \frac{90 - 0}{90 - 0} = 1\ b &= 0 \end{aligned} $$ ## Match with the given options $$ \hat{y} = x $$

(A) $\hat{y} = 2x + 10$

(B) $\hat{y} = x + 10$

(C) $\hat{y} = 2x$

(D) $\hat{y} = x$

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

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QUESTION IMAGE

Question

Explanation:

Identify points on the line of best fit

Calculate the slope and y-intercept

Match with the given options

Answer: