a. Determine the least-squares prediction equation for the model y = Bo + B,x + ɛ. b. Test Ho: B1 < 0; give the p-value for Ha: B1 > 0, and draw conclusions.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
11.32 A chemist is interested in determining the weight loss y of a particular compound as a
function of the amount of time the compound is exposed to the air. The data in the following table
give the weight losses associated with n 5 12 settings of the independent variable, exposure time.
Weight Loss and Exposure Time Data
Weight Loss, y Exposure Time Weight Loss, y Exposure Time
(in pounds) (in hours) (in pounds) (in hours)
4.3 4 6.6 6
5.5 5 7 .5 7
6.8 6 2.0 4
8.0 7 4.0 5
4.0 4 5.7 6
5.2 5 6.5 7
a. Determine the least-squares prediction equation for the model
y 5 b0 1 b1x 1 e.
b. Test H0: b1 # 0; give the p-value for Ha: b1 . 0, and draw conclusions.
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