The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77
The scatter plot that represents the table
See attachment for the required scatter plot
The best model of the scatter plot
From the attached scatter plot, we can see that the points are almost on a straight line
Hence, the best model that fits the scatter plot is a linear model
The equation of the regression model
Using a graphing calculator, we have the following calculation summary:
- Sum of x = 28
- Sum of y = 12.1
- Mean X = 4
- Mean Y = 1.7286
- Sum of squares (SSX) = 28
- Sum of products (SP) = 6.7
- b = SP/SSX = 6.7/28 = 0.23929
- a = MY - bMX = 1.73 - (0.24*4) = 0.77143
The regression equation is represented as:
y = bx + a
So, we have:
y = 0.23929x + 0.77143
Approximate
y = 0.24x + 0.77
Hence, the equation of the regression model is y = 0.24x + 0.77
Read more about regression models at:
https://brainly.com/question/13345245
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