Run a regression analysis on the following bivariate set of data with y as the response variable. x y 91.2 16.5 69.4 39.4 63.8 37.2 58.8 43.9 55.2 31.4 84.6 18.2 57.4 37.9 64.8 33.8 58.3 35.2 68.3 37.5 81.1 26.8 78.1 24.6 68.1 23.5 70.4 34.5 59.2 36.6 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 23.8 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
Added by Joel S.
Step 1
First, we need to find the regression equation. To do this, we need to calculate the slope (b) and the y-intercept (a) of the regression line. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Christopher Dzorkpata and 98 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
Madhur L.
Run a regression analysis on the following bivariate set of data with y as the response variable. x y 43.7 122.8 24.8 40.8 -4.5 33.9 9 -40.3 58.7 203.4 18.4 -61.1 -3.1 -48.3 -1 -90.9 43.2 75 -17.8 -164.8 Find the correlation coefficient and report it accurate to there y = x + Predict what value (on average) for the response variable will be obtained from a value of -0.3 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation.
Jon S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD