Question

Pearson elest X + carson eText * ses/402/quizzes/8498/take Question 2 20 Given the following information, calculate the standard error of the estimate for a regression line. Round everything to two decimal places. X = 45.21; s = 6.31 Y = 156.21; s = 24.63 r=.81 14.44 115.43 20.46 O 13.35

Answer 1

The standard error of estimate is used to determine how well a straight line can describe values of a data set. When you have a collection of data from some measurement, experiment, survey or other source, you can create a line of regression to estimate additional data. With the standard error of estimate, you get a score that describes how good the regression line is.

₁=45.21, s=6.31;

₂=156.21 , s=24.63;

r=0.81

S_x1y2=y2

        =24.63

        =14.44

S_y2x1=x1

        =6.31

        =2.17

The smaller the value of a standard error of estimate the closer are the dots to the regression line and better is the estimate based on the equation of the line. If the standard error is zero, then there is no variation corresponding to the computed line and the correlation will be perfect.

Here smallest value is 2.17 which is the standard error for the estimate.

But due to option is given therefore,

                                                             option (a) is correct which is 14.44.