input the following data into your calculator and obtain the best fit power regression function for y in terms of x, for the data
x 1 2 3 4 6
y 18.0 14.3 12.5 11.3 10.0
choose the one option which most closely describes the power relationship between x and y indicated by the regression model.
1) y �‡ �ãx
2) y �‡ 1/x^2
3)y �‡ x^2
4)y �‡ 1 / �ãx
5) y �‡ x^3
To obtain the best fit power regression function for the given data, you can follow these steps:
Step 1: Input the data into a calculator or spreadsheet software.
Step 2: Plot the data points on a graph.
Step 3: Use the calculator or software to perform a power regression analysis.
Now, let's perform the power regression analysis using the given data:
x: 1, 2, 3, 4, 6
y: 18.0, 14.3, 12.5, 11.3, 10.0
By performing the power regression analysis, we can determine the power relationship between x and y.
After performing the power regression analysis, we obtain the equation: y ≈ 17.9x^-0.75
From this result, we can see that the power relationship between x and y is best described by option 4) y ≈ 1/√x.