Question
1- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a
1- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-0.724
b=33.925
r2=0.417316
r=-0.646
n=22
Use this to predict the number of situps a person who watches 2.5 hours of TV can do (to one decimal place)
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2- Suppose that you run a correlation and find the correlation coefficient is 0.385 and the regression equation isy=2.3x+9.24. The mean of your x-values was 5.2. The mean of your y-values was 20.7.
If the critical value is .396, use the appropriate method to predict they value whenx is 2.8
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3- Based on the data shown below, calculate the correlation coefficient (to three decimal places)
x | y |
2 | 13.7 |
3 | 13.17 |
4 | 13.84 |
5 | 15.51 |
6 | 14.68 |
7 | 12.45 |
8 | 11.12 |
9 | 14.49 |
10 | 10.76 |
11 | 12.83 |
12 | 11.3 |
r=
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4- On December 17, 2007 baseball writer John Hickey wrotean article for the Seattle P-I about increases to ticket prices for Seattle Mariners games during the 2008 season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the 2007 season and the cost per win (in dollars). The data for the 16 National League teams are shown below.
team | league | price | wins | cost/win |
Arizona Diamondbacks | NL | 19.68 | 90 | 35.40 |
Atlanta Braves | NL | 17.07 | 84 | 32.89 |
Chicago Cubs | NL | 34.30 | 85 | 65.33 |
Cincinnati Reds | NL | 17.90 | 72 | 40.32 |
Colorado Rockies | NL | 14.72 | 90 | 26.67 |
Florida Marlins | NL | 16.70 | 71 | 38.13 |
Houston Astros | NL | 26.66 | 73 | 59.11 |
Los Angeles Dodgers | NL | 20.09 | 82 | 34.64 |
Milwaukee Brewers | NL | 18.11 | 83 | 35.37 |
N.Y. Mets | NL | 25.28 | 88 | 46.56 |
Philadelphia Phillies | NL | 26.73 | 89 | 48.69 |
Pittsburgh Pirates | NL | 17.08 | 68 | 40.67 |
San Diego Padres | NL | 20.83 | 89 | 38.15 |
San Francisco Giants | NL | 24.53 | 71 | 56.00 |
St. Louis Cardinals | NL | 29.78 | 78 | 61.91 |
Washington Nationals | NL | 20.88 | 73 | 46.30 |
Compute the correlation between number of 2007wins andcost per win for these 16 teams. (Assume the correlation conditions have been satisfied and round your answer to three decimal places.)
r=
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5- Here is a bivariate data set.
x | y |
43.6 | 82.6 |
43.7 | 90.5 |
59.6 | 27.8 |
45.3 | 88.8 |
44.1 | 58.9 |
Find the correlation coefficient and report it accurate to three decimal places.
r =
What proportion of the variation iny can be explained by the variation in the values ofx? Report answer as a percentage accurate to one decimal place.
r = %
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6-At a .01 significance level with a sample size of 13, find the critical value for the correlation coefficient
_______________________________________________________________________ 7-You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:0). You have a data set with 22 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of=0.01
Find the critical value for this test.
rc.v. =
Report answers accurate to three decimal places.
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8-You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:0). You have a data set with 62 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of=0.01.
rc.v. =
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9-Here is a bivariate data set. Find the regression equation for the response variabley.
x | y |
80.2 | 110.6 |
52.6 | 78.3 |
92.7 | 117 |
87.3 | 132.8 |
71.3 | 66 |
55.4 | 29.7 |
56.3 | 68.1 |
84.5 | 149 |
75.5 | 105.9 |
76.8 | 67.3 |
61.5 | 47.1 |
74.1 | 63.6 |
65 | 68.9 |
66.1 | 82.7 |
55.7 | 43.6 |
78.1 | 91.3 |
Regression Equation:
Enter the equation in slope-intercept form(y=mx+b) with parameters accurate to three decimal places.
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