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Quiz 7

Question 1 Which of the following would be the scatterplot for the given data?

x 4 7 8 12 14 18 y 21 29 29 42 28 41

a)



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b)

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c)



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d)

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e) None of the above

Question 2

What can be said about the relationship between the explantory variable and the response variable in the following scatterplot?



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a) There is a strong positive linear association.

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b) There is a strong negative linear association.

c) There is a weak positive linear association.

d) The explanatory variable causes the responses.

e) None of the above Question 3 Determine the correlation coefficient for the data shown in this table:

x 2 8 8 13 16 19 y 22 29 28 40 33 41

a) -0.8946 b) 0.4473 c) 0.8946 d) 0.8003 e) -0.8003 f) None of the above Question 4 Choose the best correlation coefficient for the data shown in this scatterplot:



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a) 0.4048 b) -0.4048 c) 1.6126 d) 0.8096 e) -0.8096 Question 5 Which of the following is a true statement? a) A negative correlation indicates that as values of x increase, values of y will decrease. b) The coefficient of determination can assume negative values. c) If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be -1. d) The correlation coefficient r is always greater than 1. e) The variable that is being predicted in regression analysis is the independent variable. f) None of the above



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Question 6

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The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Use the following statistics to give the equation of the least squares regression line.

x = 525.150, y = 293.390, sx = 18.795, sy = 14.200, r = 0.9662

a) = 1.279x - 89.970 b) = -89.970x + 0.730 c) = 0.730x - 89.970 d) = 1.279x + 89.970 e) = 0.730x + 89.970 f) None of the above Question 7 Suppose that you are given the following results. Find the correlation coefficient of the data.

sx = 5.825, sy = 14.100, b = -1.910

a) 0.267 b) -0.395 c) -0.789 d) -0.267 e) 0.789 f) None of the above Question 8 Suppose you find that the correlation coefficient for a set of data is 0.826. What is the coefficient of determination and what does it mean? a) 0.682; This means that we are 68.2% accurate with our prediction of the LSRL equation.



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b) 0.682; This means that 68.2% of the variation of y is explained by the LSRL of y on x.

c) 0.826; This means that 82.6% of the variation of y is explained by the LSRL of y on x.

d) 0.826; This means that we are 82.6% accurate with our prediction of the LSRL equation.

e) None of the above

Question 9

A real estate agent would like to predict the selling price of a single-family house by predicting the price (in thousands of dollars) based on the square footage (in 100 square feet). If the LSRL for the data is = 3.8785x + 18.3538, predict the price of a 3000 square foot house (in thousands of dollars). tbl

a) 139.709

b) 134.709

c) 248.709

d) 252.709

e) 942.962

f) None of the above

Question 10

Select the equation of the least squares line for the data: (44.20, 1.30), (42.25, 3.25), (45.50, .65), (40.30, 6.50), (39.00, 5.85), (35.75, 8.45), (37.70, 6.50).

a) = -37.643 - 0.81100x

b) = 37.643 - 0.81100x

c) = 41.407 - 0.89210x

d) = 37.643 - 0.89210x

e) = 0.81100x - 37.643

f) None of the above



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Quiz 8

Question 1 Which of the following would be the LSRL for the given data?

x 3 5 10 11 17 17 y 43 37 26 21 16 14

a) = b) = c) = d) = e) None of the above Question 2 Determine the correlation coefficient for the data shown in this table:

x 1 4 8 12 15 19 y 23 29 26 41 29 41

a) -0.7447 b) 0.7447 c) -0.5546 d) 0.3724 e) 0.5546 f) None of the above Question 3 Suppose you have the following data:



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