finding a linear regression model\nfind a linear function that models the data in the table.\nf(x) = x +…

finding a linear regression model\nfind a linear function that models the data in the table.\nf(x) = x + \n\nx\ty\n-4\t-6\n-1\t-1\n0\t1\n2\t4\n3\t7

finding a linear regression model\nfind a linear function that models the data in the table.\nf(x) = x + \n\nx\ty\n-4\t-6\n-1\t-1\n0\t1\n2\t4\n3\t7

Answer

Explanation:

Step1: Find the slope

The slope $m$ of a line $y = mx + b$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(0,1)$ and $(2,4)$. Then $m=\frac{4 - 1}{2-0}=\frac{3}{2}$.

Step2: Find the y - intercept

The equation of a line is $y=mx + b$. We know that when $x = 0$, $y=b$. From the point $(0,1)$, we can see that $b = 1$.

Answer:

$f(x)=\frac{3}{2}x + 1$