The equation of the linear regression is [tex]\^ y = -7.76\^x + 246.34[/tex]
Graphing tool
To determine the line of best fit, we make use of a graphing tool
See attachment for the graph of the line of best fit
The equation
From the graphing tool, we have the following calculation summary
- Sum of X = 60
- Sum of Y = 1998
- Mean X = 6
- Mean Y = 199.8
- Sum of squares (SSX) = 394
- Sum of products (SP) = -3056
The regression Equation is then represented as:
[tex]\^y = b\^x + a[/tex]
Where:
[tex]b = \frac{SP}{SSX}[/tex] and [tex]a = \bar y - b \times \bar x[/tex]
[tex]b = -\frac{3056}{394}[/tex]
[tex]b = -7.76[/tex]
Also, we have:
[tex]a = \bar y - b \times \bar x[/tex]
[tex]a= 199.8 - (-7.76 \times 6)[/tex]
[tex]a = 246.34[/tex]
So, the linear regression equation is:
[tex]\^ y = -7.76\^x + 246.34[/tex]
Read more about linear regression at:
https://brainly.com/question/17844286
