Exam 6: Exploring Data: Relationships

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Use the following data to answer the Questions: . Let x = time spent studying and y = test score. Time spent 1 2 5 4 6 7 8 5 2 4 3 5 studying(hours) Test score 49 57 80 70 88 91 98 80 57 72 65 82 (percentage) -Choice -What is the slope of the regression line?

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Use the following scatterplot to answer the Questions: Use the following scatterplot to answer the Questions:   -For the scatterplot shown above, what can you say about the correlation? -For the scatterplot shown above, what can you say about the correlation?

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What can you say about the slope of a regression line for variables that are negatively associated?

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If the x and y coordinates of a scatterplot are exchanged, variables that were previously positively associated:

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If all the points of a scatterplot lie on a straight line, what can you say about the correlation of the data?

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Use the following Table to answer the Questions: Hours spent partying per week (x) 10 40 0 5 60 20 12 GPA (y) 3.4 0.5 3.9 3.7 4.0 1.3 3.1 -What is the correlation for these data?

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To choose advertising media, a marketing analyst studies the relationship between a consumer's income and the amount spent on restaurant dining. Which variable, consumer's income or dining expenditures, would be the response variable for a least-squares regression equation?

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The least-squares regression equation y = 50 + 0.1x gives the yield in bushels per acre of corn when x pounds of fertilizer are applied. Predict the yield for a farmer who plans to use 320 pounds of fertilizer.

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If the x and y coordinates of a scatterplot are exchanged, the slope of the regression line:

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Suppose the equation for a regression line is y = 18 − 3x. If x = 4, what is the predicted corresponding value for y?

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To determine the effectiveness of group study sessions, a college instructor gathers data on hours of attendance and exam scores for students in the class. Which variable, hours of attendance or exam scores, would be the response variable for a least-squares regression equation?

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If the x and y coordinates of a scatterplot are exchanged, the correlation of the variables:

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For professional baseball players, one would expect a negative correlation between:

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Use the following data set to answer the Questions: Length of commute in miles (x) 2 10 8 30 12 70 15 20 Time of commute in minutes (y) 5 25 20 45 25 80 30 35 -What is the slope of the regression line?

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Use the following data set to answer the Questions: Length of commute in miles (x) 2 10 8 30 12 70 15 20 Time of commute in minutes (y) 5 25 20 45 25 80 30 35 -What is the actual length of a 0-mile commute?

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If the correlation between two variables is −1, then the points of their scatterplot:

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Use the following scatterplot to answer the Questions: Use the following scatterplot to answer the Questions:   -What can you say about the correlation? -What can you say about the correlation?

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Suppose that ages and hours of time slept per day are gathered from people at a mall. According to these data, young children and older adults tend to sleep more than older children and younger adults. How could you describe the resulting scatterplot of this data, where x represents ages and y represents the amount of sleep per day?

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If the points of a scatterplot lie on a straight line, then the correlation:

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Consider the data set below. x 1 2 3 y 7 6 5 Adding the data point (3, 6) to this data set:

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