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If the regression equation of y x is giv...

If the regression equation of y x is given by x+ y =8 , then estimate the value of y when x is 3.5 .

A

3

B

`5.5 `

C

` 4.5`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we start with the given regression equation: 1. **Given Equation**: \[ x + y = 8 \] 2. **Rearranging the Equation**: We want to express \(y\) in terms of \(x\). To do this, we can rearrange the equation: \[ y = 8 - x \] 3. **Substituting the Value of \(x\)**: Now, we need to estimate the value of \(y\) when \(x = 3.5\). We substitute \(3.5\) into the equation: \[ y = 8 - 3.5 \] 4. **Calculating \(y\)**: Now we perform the subtraction: \[ y = 4.5 \] Thus, the estimated value of \(y\) when \(x\) is \(3.5\) is \(4.5\). ### Final Answer: \[ y = 4.5 \]
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