3.) Suppose the Federal Aviation Administration (FAA) would like to compare the
ID: 3369555 • Letter: 3
Question
3.) Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines on domestic, nonstop flights. The following table shows three different airlines and the frequency of flights that arrived early, on-time, and late for each. Identify the correct conclusion using the 0.01 level of significance.
a.) We find that Airline and Status are independent of each other, based on a p-value of 0.0003
b.) We conclude that Airline and Status are related to each other, based on a p-value of 0.0003
c.) We decide that Airline and Status are associated with each other, based on a p-value of 0.9997
d.) We decide that Airline and Status are not related to one another, based on a p-value of 0.9997
e.) There are two correct answers.
4.) Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.
a.) The correlation is -0.517 . There is a perfect negative linear association between Exam 1 and Exam 2 .
b.) The correlation is 0.517 . There is a moderate negative linear association between Exam 1 and Exam 2 .
c.) The correlation is -0.517 . There is a moderate positive linear association between Exam 1 and Exam 2 .
d.) The correlation is 0.517 . There is a moderate positive linear association between Exam 1 and Exam 2 .
e.) The correlation is -0.517 . There is a moderate negative linear association between Exam 1 and Exam 2 .
5.) Choose the value of the Pearson's Correlation Coefficient (r) that best describes the two plots.
a.) I: -0.75, II: -0.439.
b.) I: 0.75, II: 0.439.
c.) I: 0.439, II: 0.75.
d.) I: 0.75, II: 0.561.
e.) I: 0.25, II: 0.439.
6.) Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, report the regression equation.
a.) (cost of dinner) = 4.037*(food quality) + 14.938
b.) (cost of dinner) = 4.037*(food quality)
c.) (food quality) = 14.938*(cost of dinner) + 4.037
d.) (cost of dinner) = 14.938*(food quality) + 4.037
e.) (food quality) = 4.037*(cost of dinner) + 14.938
7.) Suppose that in a certain neighborhood, the cost of a home (in thousands) is proportional to the size of the home in square feet. If the regression equation quantifying this relationship is found to be (price) = 12.316*(size) + 116.208, how much would you expect to pay for a home with 1559.479 square feet?
a.) We do not know the observations in the data set, so we cannot answer that question.
b.) 19322.75
c.) 117.19
d.) 181236.25
e.) 19206.54
Cross Tabulation of Airline vs. Status On-time Late Early 35 36 51 Delta 30 US Airways Southwest 15 19 Pearson Chi-square 21.489 DF 4 P-value 0.0003Explanation / Answer
Solution6:
from reg ouput
cost of dinner=14.938+4.037*food quality
slpe=4.037
y intercept=14.938
Selct option A
a.) (cost of dinner) = 4.037*(food quality) + 14.938
Solution7:
(price) = 12.316*(size) + 116.208
size=1559.479 given
substitue in Reg eq we get
price= 12.316*(1559.479 ) + 116.208
price=19322.75
b.) 19322.75
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