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 yea represents the company sales in dollars, about how much can the company expects in sales if it spends $150 in advertising

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Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The  company expects in sales if it spends $150 in advertising $445.

We have given that linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

What is the linear regression?

Linear regression is a linear model, that is the model that assumes a linear relationship between the input variables is  x and output

variable is y .

That is we can say that the If we have given two variable that is x and y  then the linear regression represent the relation between x and y. Where y is dependent variable and x is independent variable.

Here x is independent variable therefore it represents independent veritable  and y is the dependent variable therefore y is the dollars spent in advertising and y represents the dependent variable of x and the company sales in dollars.

We have to find the  sales y when $150 spends on advertising.then the value of x variable is x=150 we find the value of y by using substitution method of linear equation.

Plug in x=150  and find out y

[tex]y = 2.1 x + 130y = 2.1 (150) + 130y= 445[/tex]

Therefore,the  company expects in sales if it spends $150 in advertising $445.

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