Exam 10: Correlation and Regression

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If there is a strong negative linear relationship between the variables, the value of __________ will be close to -1.

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A correlation coefficient r was calculated to be 0.610. The coefficient of determination would be approximately __________.

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In a __________ relationship, as one variable increases, the other variable decreases, and vice versa.

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If the correlation coefficient r is equal to 0.394, find the coefficient of nondetermination.

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Regression is a statistical method used to describe the nature of the relationship between variables.

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A formula for the correlation coefficient r is __________.

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For a prediction value of y' from a specific value x, which of the following contribute to the prediction error?

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The rounding rule for the correlation coefficient requires two decimal places.

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The equation of a regression line is The equation of a regression line is   . What is the intercept of this line? . What is the intercept of this line?

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Compute the standard error of the estimate for the data below. Round to the thousandths place. Compute the standard error of the estimate for the data below. Round to the thousandths place.

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A realtor wanted to determine if there was a relationship between the size (in 100 square feet) of a new custom-built home and the price (in thousands of dollars) of the home. a. Draw a scatter plot. b. Determine the regression line equation and plot the regression line on the scatter plot. A realtor wanted to determine if there was a relationship between the size (in 100 square feet) of a new custom-built home and the price (in thousands of dollars) of the home. a. Draw a scatter plot. b. Determine the regression line equation and plot the regression line on the scatter plot.

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Daniel Wiseman, a scientist for Gres-Trans Corp., wants to determine if the flow rate of a particular material changes with different changes in temperature. The data is plotted in the figure below. What type of relationship exists between the flow rate and the change in temperature? Daniel Wiseman, a scientist for Gres-Trans Corp., wants to determine if the flow rate of a particular material changes with different changes in temperature. The data is plotted in the figure below. What type of relationship exists between the flow rate and the change in temperature?

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Using a regression line of Using a regression line of   , a value of x = 3.6 would result in a predicted value of   . , a value of x = 3.6 would result in a predicted value of Using a regression line of   , a value of x = 3.6 would result in a predicted value of   . .

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Determine the type of relationship shown in the figure below. Determine the type of relationship shown in the figure below.

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A correlation coefficient of 0.961 would mean that the values of x increase as the values of y decrease.

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As a researcher collects more and more data, the 95% prediction intervals in general

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The population correlation coefficient is computed by using all possible pairs of data values The population correlation coefficient is computed by using all possible pairs of data values   taken from a population. taken from a population.

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The standard error of estimate is the square root of the unexplained variation.

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A study was conducted to determine if there was a linear relationship between a person's age and his/her peak heart rate. a. Draw the scatter plot for the variables. b. Give a brief explanation of the type of relationship. A study was conducted to determine if there was a linear relationship between a person's age and his/her peak heart rate. a. Draw the scatter plot for the variables. b. Give a brief explanation of the type of relationship.

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A study was conducted to determine if there was a relationship between the prices a non-member of a book club paid for various publications and the prices that a member paid for the same publications. The data gathered is shown below. Compute the value of the correlation coefficient. A study was conducted to determine if there was a relationship between the prices a non-member of a book club paid for various publications and the prices that a member paid for the same publications. The data gathered is shown below. Compute the value of the correlation coefficient.

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