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Sagot :
Answer:
[tex]y = 1.00114x + 1.75243[/tex]
Step-by-step explanation:
Given
The x and y values
Required
The regression line equation
Because of the length of the given data, I will run the analysis using online tools, then analyze the result.
From the analysis, we have:
[tex]\sum x = 5050[/tex]
[tex]\sum y = 5231.1011[/tex]
[tex]\bar x = 50.5[/tex]
[tex]\bar y = 52.311[/tex]
[tex]SSX = 83325[/tex] --- Sum of squares
[tex]SP = 83419.7626[/tex] --- Sum of products
The regression equation is calculated as:
[tex]y = ax + b[/tex]
Where:
[tex]a = \frac{SP}{SSX}[/tex]
So, we have:
[tex]a = \frac{83419.76}{83325}[/tex]
[tex]a = 1.00114[/tex]
[tex]b = \bar y - a * \bar x[/tex]
[tex]b = 52.31 - (1.00114*50.5)[/tex]
[tex]b = 1.75243[/tex]
So:
[tex]y = ax + b[/tex] becomes
[tex]y = 1.00114x + 1.75243[/tex]
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