Question: How would I answer and solve these questions? Data are provided here with descriptive statistics, a correlation coefficient, and a regression equation: R = 0.426,

How would I answer and solve these questions?

Data are provided here with descriptive statistics, a correlation coefficient, and a regression equation:

R = 0.426, Y = 219.974 + 186.595(X)

X

0.13

0.27

0.49

0.57

0.84

1.12

Y

200.00

98.00

543.00

385.00

420.00

312.00

MX = 0.57

SDX = 0.333

MY = 326.333

SDY = 145.752

Using the information, compute the following estimates of prediction error:

  1. Calculate the sum of squared error for the mean, sum of total squares.
  2. Now, using the regression equation provided, calculate the sum of squared error for the regression equation, sum of squared error.
  3. Using your work, calculate the proportionate reduction in error for these data.
  4. Check that this calculation of r2 equals the square of the correlation coefficient.
  5. Compute the standardized regression coefficient.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!