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A data set consists of the following data points:
[tex]\[ (2,4), (4,7), (5,12) \][/tex]

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]\( x = 7 \)[/tex]?

A. 20.5
B. 17.5
C. 19
D. 16



Answer :

GinnyAnswer
To determine the predicted value of [tex]\( y \)[/tex] using the line of best fit equation [tex]\( y = 2.5 x - 1.5 \)[/tex] when [tex]\( x = 7 \)[/tex], we will follow these steps:

1. Start with the given equation of the line of best fit:
[tex]\[ y = 2.5 x - 1.5 \][/tex]

2. Substitute the value [tex]\( x = 7 \)[/tex] into the equation.

3. Perform the multiplication:
[tex]\[ y = 2.5 \times 7 - 1.5 \][/tex]

4. Calculate [tex]\( 2.5 \times 7 \)[/tex]:
[tex]\[ 2.5 \times 7 = 17.5 \][/tex]

5. Subtract 1.5 from 17.5:
[tex]\[ 17.5 - 1.5 = 16 \][/tex]

Therefore, the equation predicts that when [tex]\( x = 7 \)[/tex], the value of [tex]\( y \)[/tex] is 16.

The correct answer is:
D. 16

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