MATLAB - Numerical Methods
Given
x = [2 4 6 8] and y = [5 15 25 35], what is the output of interp1(x, y, 5) in MATLAB?Given x = [2 4 6 8] and y = [5 15 25 35], what is the output of interp1(x, y, 5) in MATLAB?
medium📝 Predict Output Q4 of 15
Step-by-Step Solution
Solution:
Step 1: Identify the interval
5 lies between 4 and 6 in vectorx.Step 2: Perform linear interpolation
At x=4, y=15; at x=6, y=25. The slope is (25-15)/(6-4) = 5.Calculate y at x=5
y = 15 + 5*(5-4) = 15 + 5 = 20.Final Answer:
20 -> Option AQuick Check:
Check linear interpolation formula [OK]
Quick Trick: Find interval and apply linear interpolation formula [OK]
Common Mistakes:
- Using wrong interval points
- Forgetting linear interpolation formula
- Mixing up x and y values
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