Of students scoring in the 40s on a practice test, the following study times resulted in certain test scores. In the accompanying table, x represents study time, in hours, and y represents the final test score. Write a logarithmic regression equation for this set of data, rounding all coefficients to the nearest hundredth Hours Studied (x) Test Score (y) 149 2 58 361 6 68 7 68 9 71
To find the logarithmic regression equation for this set of data, we can use a calculator or software program that supports regression analysis. The logarithmic regression equation for this data set is approximately:
y = 13.32 + 11.56 * ln(x)
where y is the test score and x is the study time in hours.