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Shown below is a portion of an Excel output for regression analysis relating Y (dependent variable) and X (independent variable).
ANOVA / df / SS
Regression 1 / 2478.205
Residual 8 / 12036.195
Total 9 / 14514.400
Coefficients / Standard Error / t Stat / P-value
Intercept 140.68 / 83.280 / 1.689 / 0.130
X 49.17/ 38.312/ 1.283 / 0.235
1. What is the estimated regression equation that relates y to x?
2. Is the regression relationship significant? Use a p-value and alpha = 0.05?
3. What is the estimated value of y if x = 3.5?
4. Interpret the meaning of the value of the coefficient of determination if it is 0.17 in this case. Be very specific?
If the duration of each telephone call is an exponential random variable with x = 1/8, what is the probability that among Mr. Jones
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The sample mean was x=4.05 mm, and the sample standard deviation was s= 0.08 mm. Find a 95% lower confidence bound for mean wall thickness. Interpret the interval you obtained.
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Suppose the following statement were made on the basis of the significant difference reported in Problem 13:
The intervals make clear how uncertain we are about the true value of p and how little difference there is between the two sample outcomes.
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