question 4 of 25

suppose the linear regression line $y = 2.1x + 130$ predicts sales based on the money spent on advertising. if $x$ represents the dollars spent in advertising, and $y$ represents the company sales in dollars, about how much can the company expect in sales if it spends $\$150$ in advertising?

a. $\$465$
b. $\$315$
c. $\$445$
d. $\$130$

Question

question 4 of 25

suppose the linear regression line $y = 2.1x + 130$ predicts sales based on the money spent on advertising. if $x$ represents the dollars spent in advertising, and $y$ represents the company sales in dollars, about how much can the company expect in sales if it spends $\$150$ in advertising?

a. $\$465$
b. $\$315$
c. $\$445$
d. $\$130$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Regression Line", "Regression Prediction" ], "current_concepts": [ "Linear Regression Line", "Regression Prediction" ] } ## Identify the given equation and variables $$ \begin{aligned} &y = 2.1x + 130\ &x = 150 \end{aligned} $$ ## Substitute the value of x into the equation $$ \begin{aligned} &y = 2.1(150) + 130 \end{aligned} $$ ## Calculate the predicted sales value $$ \begin{aligned} &y = 315 + 130\ &y = 445 \end{aligned} $$

A. $465

B. $315

C. $445

D. $130

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Linear Regression Line" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given equation and variables

Substitute the value of x into the equation

Calculate the predicted sales value

Answer: