Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)
[tex]\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}[/tex]
[tex]\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}[/tex]
By the above table,
[tex]\sum x = 20[/tex]
[tex]\sum xy = 1296[/tex]
[tex]\sum x^2 = 120[/tex]
[tex]\sum y = 289[/tex]
By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Answer:
y = 3.5 x+ 43.8
Step-by-step explanation:
Verified correct with a K12 test.
