Find solutions to your problems with the help of IDNLearn.com's expert community. Ask your questions and receive prompt, detailed answers from our experienced and knowledgeable community members.

Create a linear model for the data in the table:

| [tex]$x$[/tex] | 4 | 6 | 8 | 10 | 12 | 14 |
|-----|----|----|----|----|----|----|
| [tex]$y$[/tex] | 7 | 14 | 21 | 29 | 36 | 45 |

Write a linear model for the data:

[tex]\[ y = \square x + d^3 \][/tex]

(Type integers or decimals rounded to three decimal places as needed)


Sagot :

To create a linear model for the given data, we can determine the equation of the line in the form [tex]\( y = ax + d^3 \)[/tex], where [tex]\(a\)[/tex] is the slope and [tex]\(d^3\)[/tex] is the intercept of the line. Based on the provided data and calculations, the results are:

1. Slope ([tex]\(a\)[/tex]): 3.771 (rounded to three decimal places)
2. Intercept ([tex]\(d^3\)[/tex]): -8.610 (rounded to three decimal places)

Thus, the linear model for the data is:
[tex]\[ y = 3.771x - 8.610 \][/tex]
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.