Chapter 13 Inferences for regression

Here are the answers from today's activities:
Please forgive formatting. Note that the values of SECoef, T, and P for the constant are not used in our inference calculations.


Regression Analysis: C6 versus C5
The regression equation is
C6 = 26.7 + 57.0 C5

Predictor Coef SECoef T P
Constant 26.75 19.44 1.38 0.263
C5 57.00 42.17 1.35 0.269

S = 9.42956 R-Sq = 37.8% R-Sq(adj) = 17.1%

Regression Analysis: C9 versus C8
The regression equation is
C9 = 32.4 + 37.5 C8

Predictor Coef SECoef T P
Constant 32.38 25.87 1.25 0.299
C8 37.50 60.19 0.62 0.577

S = 14.1877 R-Sq = 11.5% R-Sq(adj) = 0.0%


Regression Analysis: C12 versus C11
The regression equation is
C12 = 17.5 + 90.3 C11

Predictor Coef SECoef T P
Constant 17.50 10.45 1.68 0.192
C11 90.31 14.96 6.04 0.009

S = 8.52974 R-Sq = 92.4% R-Sq(adj) = 89.9%
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Regression Analysis: C15 versus C14
The regression equation is
C15 = 52.7 - 14.0 C14

Predictor Coef SECoef T P
Constant 52.67 18.74 2.81 0.067
C14 -14.00 42.50 -0.33 0.764

S = 7.76030 R-Sq = 3.5% R-Sq(adj) = 0.0%
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Descriptive Statistics: C19, C20
Variable N N* Mean SE Mean StDev
C19 5 0 0.5000 0.0791 0.1768
C20 5 0 61.00 8.34 18.64


Regression Analysis: C20 versus C19
The regression equation is
C20 = 9.00 + 104 C19

Predictor Coef SECoef T P
Constant 9.000 5.279 1.70 0.187
C19 104.00 10.07 10.33 0.002

S = 3.55903 R-Sq = 97.3% R-Sq(adj) = 96.4%

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Now, can you generate a confidence interval for the slope of the REAL regression line from one of your estimates? What does your (large) interval tell you about the strength of the relationship between x and y?

What were the three types of evidence you used to answer the questions about the model? Match the evidence to the question online at the quizplace. http://www.proprofs.com/quiz-school/quizview.php?id=968