Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

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. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.