1. Twenty people are waiting in line at the bank. These people will either deposit or withdraw money. If the people are arranged in the following order, test for randomness to the 5% level of significance.
d, d, d, w, w, w, w, w, d, d, d, d, d, d, d, w, w, w, d, d
2. A machine produces parts at a 2% defects rate. If we sampled 10 parts, what is the probability that some will be defective?
3. Fifteen students were asked how many hours they worked over the weekend to
complete their take-home statistics final exam. Their responses were then matched with their grades on the exam, which had a maximum score of 100.
X .50 .75 1.00 1.25 1.30 1.50 1.75 2.00 2.5 2.75 3.00 3.25 3.50 3.75 4.00
Y 57 64 59 68 69 74 76 79 85 86 88 89 90 94 96
a. Find the regression equation that will predict a student's score if we know how many
hours they worked.
b. If a student received an 80% on the exam, what is the estimated number of hours the
person spent working on it?
Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.