The equation of the line of best fit is y = 4.57x + 21.19 and Maria will be given 85 quarters at 14 years old
The scatter plot of the data
See attachment
The equation of the line of best fit
From the graphing calculator, we have the following summary;
- Sum of X = 36
- Sum of Y = 334
- Mean X = 4.5
- Mean Y = 41.75
- Sum of squares (SSX) = 42
- Sum of products (SP) = 192
The equation of the line of best fit is represented as:
y = bx + a
Where
b = SP/SSX = 192/42 = 4.57143
a = MY - bMX = 41.75 - (4.57*4.5) = 21.17857
So, we have:
y = 4.57143x + 21.17857
Approximate
y = 4.57x + 21.19
Hence, the equation of the line of best fit is y = 4.57x + 21.19
The number of quarters at 14 years old
This means that:
x = 14
So, we have
y = 4.57 * 14 + 21.19
Evaluate
y = 85.17
Approximate
y = 85
Hence, Maria will be given 85 quarters at 14 years old
Read more about regression at:
https://brainly.com/question/25987747
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