# Statistic Quiz Due in 30 mins

Question 1

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Given the linear correlation coefficient r and the sample size n, determine the critical value of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.r = 0.486, n = 20

Select one:

a. Critical value: r = 0.444, no significant linear correlation

b. Critical value: r = 0.444, significant linear correlation

c. Critical value: r = 0.561, no significant linear correlation

d. Critical value: r = 0.561, significant linear correlation

Question 2

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The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):Temp     52   66  40   41   61   36   41   34   69Growth  31   34   45    8   28   28   12     1   11Find the value of the linear correlation coefficient r.

Select one:

a. 0.6660

b. 0.7980

c. 0.1955

d. -0.1955

Question 3

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Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is 0.835 .

Select one:

a. 0.9138

b. 0.1650

c. 0.6972

d. 0.8350

Question 4

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Find the unexplained variation.x   3      6       8      10y   6     ,9     10      16

Select one:

a. 1.7747

b. 52.7500

c. 46.4509

d. 6.2991

Question 5

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A regression equation is obtained for a collection of paired data. It is found that the total variation is 16.012, the explained variation is 13.683, and the unexplained variation is 2.329. Find the coefficient of determination.

Select one:

a. 0.1455

b. 6.8751

c. 1.1702

d. 0.8545

Question 6

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Find the explained variation.x   29   27   22   23   24    42   37y   42   34   15   20   22  101   80

Select one:

a. 1.6419

b. 13.4794

c. 6,531.378

d. 6,544.857

Question 7

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Use the given data to find the equation of the regression line. x   12   16    40     56     72y   6     12    39     60     90

Select one:

a. y = 0.7347 + 8.7824x

b. y = -1.3701 + 1.3462x

c. y = 1.3462 – 11.3701x

d. y = 8.7824 + 0.7347x

Question 8

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Find the correlation coefficient, given that the value of the coefficient of determination, r2, is 0.447.

Select one:

a. 0.6686

b. -0.4470

c. 0.1998

d. 0.5330

Question 9

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Ten pairs of data yield r = 0.001 and the regression equation y = 3 + 4x. Also, y-bar = 6.0.   What is the best predicted value of y for x = 3?

Select one:

a. 15.0

b. 9.0

c. 6.0

d. 3.0

Question 10

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The equation of the regression line for the paired data below is y = 2x + 3 and the margin of error is E = 1.8 .  Find the 90% prediction interval of y for x = 3.x              2              4              5              6y              7              11           13           20

Select one:

a. 9.75 < y < 15.75

b. 10.95 < y < 14.55

c. 7.2 < y < 10.8

d. 1.2 < y < 4.8