Answered

IDNLearn.com offers a comprehensive solution for finding accurate answers quickly. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

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

A. [tex]\$315[/tex]
B. [tex]\$130[/tex]
C. [tex]\$465[/tex]
D. [tex]\$445[/tex]

Sagot :

GinnyAnsweridn
To determine the expected sales [tex]\( y \)[/tex] when the company spends [tex]\( \$150 \)[/tex] on advertising, we will use the given linear regression equation:

[tex]\[ y = 2.1x + 130 \][/tex]

Here, [tex]\( x \)[/tex] is the amount of money spent on advertising, which is [tex]\( \$150 \)[/tex].

Let's substitute [tex]\( x = 150 \)[/tex] into the equation:

[tex]\[ y = 2.1 \cdot 150 + 130 \][/tex]

First, perform the multiplication:

[tex]\[ 2.1 \cdot 150 = 315 \][/tex]

Next, add the result to 130:

[tex]\[ y = 315 + 130 \][/tex]

[tex]\[ y = 445 \][/tex]

Therefore, the expected sales when the company spends [tex]\( \$150 \)[/tex] on advertising is [tex]\( \$445 \)[/tex].

Thus, the correct answer is:

D. \$445
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.