Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

A data set consists of the following data points: (2,4), (4,7), (5,12).

The line of best fit has the equation [tex]\( y = 2.5x - 1.5 \)[/tex]. What does this equation predict for a value of [tex]\( x = 3 \)[/tex]?

A. 9
B. 10.5
C. 6
D. 7.5


Sagot :

Let's figure out what the equation of the line of best fit predicts for [tex]\( x = 3 \)[/tex].

The equation of the line of best fit, given in the problem, is:

[tex]\[ y = 2.5x - 1.5 \][/tex]

We need to find the predicted value of [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex].

1. Start by substituting [tex]\( x = 3 \)[/tex] into the equation:

[tex]\[ y = 2.5 \cdot 3 - 1.5 \][/tex]

2. Next, calculate [tex]\( 2.5 \cdot 3 \)[/tex]:

[tex]\[ 2.5 \cdot 3 = 7.5 \][/tex]

3. Now, subtract 1.5 from 7.5:

[tex]\[ y = 7.5 - 1.5 \][/tex]

4. Performing the subtraction gives:

[tex]\[ y = 6 \][/tex]

Therefore, the equation [tex]\( y = 2.5x - 1.5 \)[/tex] predicts that the value of [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex] will be [tex]\( 6 \)[/tex]. Thus, the correct answer is:

C. 6
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.