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Question 1 of 20 Given the...

Question 1 of 20

Given the linear correlation coefficient r and the smaple size n, determine the critical values of r and use your finiding 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

a. critical values: r=+- 0.666, no significant linear correlation

b. critical values: r=0.666, no significant linear correlation

c. critical values: r=-0.666, significant linear correlation

d. critical valuesr=+-0.666, significant linear correlation

Question 2 of 20

Find the valueof the linear correlation coefficient r.

x 57 53 59 61 53 56 60

y 156 164 163 177 159 175 151

a. -0.054

b. 0.214

c. 0.109

d. -0.078

Question 3 of 20

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variable. Find the critical values of r given the number of pairs of data n and the significance level alpha.

n=11, A=0.01

Question 4 of 20

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 ^y=4x-2. Also - y=19.0. What is the best predicted value of y for x=5? The symbol I typed next to the Ys should be above the y.

Question 5 of 20

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

x 1 3 5 7 9

y 143 116 100 98 90

Question 6 of 20

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.

Question 7 of 20

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 ^y=44.8447 + 3.52427x. Find the explained variation.

x Hours of Preparation 5 2 9 6 10

y Test of score 64 48 72 73 80

Question 8 of 20

Construct the indicated prediction interval for an indivdual 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 ^y=44.485 + 3.524x and the standard eroor 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.

x Hours of preparation 5 2 9 6 10

y test of score 64 48 72 73 80

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