Use the table and the given regression equation to answer parts (a)-(e). x 3 1 2 y -4 0 -2 y? = 2 - 2x c. Determine the value of r², the coefficient of determination. r² = (Round to four decimal places as needed.) d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression. % (Round to two decimal places as needed.) e. State how useful the regression equation appears to be for making predictions. A. Very useful B. Not useful C. Moderately useful
Added by Erika W.
Close
Step 1
The coefficient of determination is the square of the correlation coefficient (R). Unfortunately, we don't have enough information to calculate R^2 directly from the given regression equation (Y = 2 - 2x) and the table is not provided. However, let's assume we Show more…
Show all steps
Your feedback will help us improve your experience
T. L. and 99 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Given are five observations for two variables, and . 1 2 3 4 5 3 7 7 10 14 d. Develop the estimated regression equation by computing the values of b0 and b1 (to 1 decimals). + e. Use the estimated regression equation to predict the value of y when x=3 (to 1 decimals).
Supreeta N.
For the following data set: (a) Compute the coefficient of determination. Round the answer to at least three decimal places. The coefficient of determination is 0.4974. (b) How much of the variation in the outcome variable is explained by the least-squares regression line? Round the answer to one decimal place. The percentage of variation in the outcome variable that is explained by the least-squares regression line is 1.1 %.
David N.
Lucas F.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD