The line of regression of y on x is give...

The line of regression of y on x is given by `1.63x-y=19.36` and regression equation of x on y is `0.596y -x=11.83`. Estimated value of y when x= 13.5 is

5.3

2.645

13.5

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To solve the problem step by step, we will follow the instructions given in the video transcript. ### Step 1: Write the regression equation of y on x. The regression equation of y on x is given as: \[ 1.63x - y = 19.36 \] ### Step 2: Rearrange the equation to express y in terms of x. We can rearrange the equation to isolate y: \[ y = 1.63x - 19.36 \] ### Step 3: Substitute the value of x. We need to estimate the value of y when \( x = 13.5 \): \[ y = 1.63(13.5) - 19.36 \] ### Step 4: Calculate the value of y. Now, we will perform the calculation: 1. Calculate \( 1.63 \times 13.5 \): \[ 1.63 \times 13.5 = 22.005 \] 2. Now substitute this value back into the equation: \[ y = 22.005 - 19.36 \] \[ y = 2.645 \] ### Final Answer: The estimated value of y when \( x = 13.5 \) is: \[ y = 2.645 \] ---

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