We use the form = a + bx for the least-squares line. In some computer printouts, the leastsquares equation is not given directly. Instead, the value of the constant ais given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in Colorado locations. A Minitab printout provides
A Minitab printout provides |
||||
Predictor |
Coef |
SE Coef |
T |
P |
Constant |
318.16 |
28.31 |
11.24 |
0.002 |
Elevation |
-30.878 |
3.511 |
-8.79 |
0.003 |
s = 11.8603 R-Sq = 96.3% |
(a) Use the printout to write the least-squares equation.
(b) For each 1000-foot increase in elevation, how many fewer frost-free days are predicted?
(c) The printout gives the value of the coefficient of determination r2. What is the value of r? Be sure to give the correct sign for r based on the sign of b.
(d) Interpretation What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?
What are the key elements of an essay
You may clearly understand what an essay is and have had the experience of writing a number. However, it is […]
Feb 25th, 2022
How to write a research paper fast
The day inevitably comes; you need to submit your assignment. You have been procrastinating on writing your paper until the […]
Feb 24th, 2022
220+ best humanities research paper topics
Choosing a paper topic can be a daunting task for any assignment. A student may face agony trying to come […]
Feb 24th, 2022
How to write a media analysis essay
The media is an integral part of modern society. Think of what would happen to the world if there were […]
Feb 23rd, 2022
Great tricks on how to write a hypothesis in 2022
A hypothesis is a statement that can be proven by scientific research. It proves the theory of action and reaction, […]
Feb 22nd, 2022