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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 :

GinnyAnswer
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]
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