Third Grade Linear Transformation
Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability has mean 75 and standard deviation 10 when given to third graders. Sixth graders have a mean score of 82 and a standard deviation of 11 on the same test. To provide separate norms for each grade, we want scores in each grade to have a mean of 100 and a standard deviation of 20. What linear transformation will change sixth grade scores x into new scores xnew= a+bx that have the desired mean and standard deviation? (Use b>0 to preserve the order of the scores).© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/descriptive-statistics/third-grade-linear-transformation-1je
You want a transformation such as y = a + bx
Xbar = 100
Sx = 20
There should be a perfect correlation on both ...