Question

A movie production company was interested in the relationship between the budget to make a movie and how well that movie was received by the public. The company collected information on several movies and used it to obtain the regression equation y = 0.145x+0.136, where x represents the budget of the movie (in millions of dollars) and y is the predicted score of that movie (in points from 0 to 1). Which statement best describes the meaning of the y-intercept of the regression line?

When the score of a movie is 0 points, the predicted budget is $0.
When the score of a movie is 0 points, the predicted budget is $0.136 million.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
When the budget of a movie is $0, the predicted rating is 0.145 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.

Answer 1

The y-intercept represents the predicted score when the budget is zero.

Step-by-step explanation:

The y-intercept, a, of the regression line represents the value of the dependent variable (predicted score) when the independent variable (budget) is zero. In this case, the regression equation is y = 0.145x + 0.136, where x represents the budget of the movie (in millions of dollars) and y is the predicted score of that movie (in points from 0 to 1).

Therefore, the correct statement that best describes the meaning of the y-intercept is: When the budget of a movie is $0, the predicted rating is 0.136 points.

This interpretation is meaningful, as the y-intercept is the starting point of the regression line and represents the predicted score of a movie with a budget of zero.

Answer 2

Pretty sure it's (C), although I am unable to check. --> IT IS C I GOT 100%

"When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0."

The y intercept is the starting "points", which is .136. Basically the company uses the equation to figure out how much money they got from a movie and how it increases as the budget increases. They make money off points.

So when there's no budget or a budget less than a million, thats what they earn in points.

Which is, .136 ; this means when theres no budget, they are expected to start with .136 points. (Probably cuz they're a cool company or something)

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If you're looking for a question that asks "What is the predicted score of a movie that has a $5 million budget?", its (C), .861

If you're looking for a question that asks "What is the predicted score of a movie that has a $250,000 budget?", it's (B) 0.17225 points

[THIS PART IS SEPARATE FROM THE ORIGINAL QUESTION]

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ED2021