Question

question write an exponential regression equation for the following data, rounding all coefficients to the nearest hundredth. x: 1, 4, 8, 9, 13; y: 767, 629, 469, 409, 327 copy values for calculator open statistics calculator watch video

Explanation:

Answer:

To find the exponential regression equation \( y = ab^x \), we can use a calculator or software to perform the regression on the given data points \((x, y)\): \((1, 767)\), \((4, 629)\), \((8, 469)\), \((9, 409)\), \((13, 327)\).

Using a statistics calculator (or software like Desmos, TI-84, etc.), we input the \( x \) and \( y \) values and perform exponential regression.

After calculation, the exponential regression equation (rounded to the nearest hundredth) is:

\( y = 825.63(0.94)^x \)