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# Given the linear correlation coefficient r and the sample size n, determine the critical values of r_Answer

Given the linear correlation coefficient r and the sample size n, determine the critical values of r_Answer

Given the linear correlation coefficient r and the sample size n, determine the critical values of r_Answer

Given the linear correlation coefficient r and the sample size n, determine the critical values of r_Answer

Given the linear correlation coefficient r and the sample size n, determine the critical values of r_Answer

Question 1
1.
Given the linear correlation coefficient r and the sample size n, determine the critical values 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 = 0.75, n = 9

Critical values: r = ±0.666, no significant linear correlation

Critical values: r = 0.666, no significant linear correlation

Critical values: r = -0.666, no significant linear correlation

Critical values: r = ±0.666, significant linear correlation
5 points
Question 2
1.
Construct a scatterplot for the given data. Choose A, B, C, or D.

5 points
Question 3
1.
Find the value of the linear correlation coefficient r.

-0.054

0.214

0.109

-0.078
5 points
Question 4
1.
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, = 0.01

r = 0.765

r = ± 0.602

r = 0.735

r = ± 0.735
5 points
Question 5
1.
Use the given data to find the best predicted value of the response variable. Six pairs of data yield r = 0.789 and the regression equation What is the best predicted value of y for x = 5?

22.0

18.0

18.5

19.0
5 points
Question 6
1.
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Choose A, B, C, or D.

5 points
Question 7
1.
Is the data point, P, an outlier, an influential point, both, or neither?

Neither

Outlier

Both

Influential point
5 points
Question 8
1.
Use the given information to find the coefficient of determination. A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.

0.629

0.590

1.590

0.371
5 points
Question 9
1.
Use the computer display to answer the question.

82.7%

17.0%

91.1%

83.0%
5 points
Question 10
1.
Find the explained variation for the paired data. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is = 44.8447 + 3.52427x. Find the explained variation.

498.103

511.724

87.4757

599.2
5 points
Question 11
1.
Find the unexplained variation for the paired data. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is = 44.8447 + 3.52427x. Find the unexplained variation.

511.724

87.4757

96.103

599.2
5 points
Question 12
1.
Find the total variation for the paired data. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is = 44.8447 + 3.52427x. Find the total variation.

599.2

498.103

511.724

87.4757
5 points
Question 13
1.
Find the standard error of estimate for the paired data. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is = 44.8447 + 3.52427x. Find the the standard error of estimate.

4.1097

7.1720

5.3999

13.060
5 points
Question 14
1.
Construct the indicated prediction interval for an individual y. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is = 44.845 + 3.524x and the standard error of estimate is Se = 5.40. Find the 99% prediction interval for the test score of a person who spent 7 hours preparing for the test.