The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Calculate the correlation coefficient r. \[\begin{array} { l | l l l l l l l l } \text { Gestation, } \mathrm { x } & 8 & 2.1 & 1.3 & 1 & 11.5 & 5.3 & 3.8 & 24.3 \\ \hline \text { Life span, } \mathrm { y } & 30 & 12 & 6 & 3 & 25 & 12 & 10 & 40 \end{array}\]

The answer of The data below are the gestation periods,...

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Construct a scatter plot for the data. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Number of absences, } \mathrm { x } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \\ \hline \text { Final grade, } \mathrm { y } & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82 \end{array}\]

The answer of The data below are the number of...

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches)and the yield of wheat (bushels per acre). Find the standard error of estimate, $\mathrm { Se } ,$ , given that ? = 4.379x + 4.267. \[\begin{array} { l | l | l | l | l | l | l | l | l | l | } \text { Rain fall (in inches), } \mathrm { x } & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\ \hline \text { Yield (bushels per acre), y } & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8 \end{array}\]

A) 3.529 B) 4.759 C) 2.813 D) 1.332 A) 3.529 B) 4.759 C) 2.813 D) 1.332

The data below are the ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Calculate the correlation coefficient, r. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Age, } \mathrm { x } & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \\ \hline \text { Pressure, } \mathrm { y } & 112 & 116 & 119 & 127 & 138 & 141 & 144 & 146 & 148 \end{array}\]

A) 0.960 B) 0.998 C) 0.890 D) 0.908 A) 0.960 B) 0.998 C) 0.890 D) 0.908

The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. Find the equation of the regression line for the given data. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Temperature, } \mathrm { x } & 72 & 85 & 91 & 90 & 88 & 98 & 75 & 100 & 80 \\ \hline \text { Number of absences, } \mathrm { y } & 3 & 7 & 10 & 10 & 8 & 15 & 4 & 15 & 5 \end{array}\]

A) $ \hat { \mathrm { y } } $ = 0.449x - 30.27 B) $\hat { y }$ = 30.27x - 0.449 C) $\hat { \mathrm { y } }$ = 0.449x + 30.27 D) $\hat { y }$ = 30.27x + 0.449 A) $ \hat { \mathrm { y } } $ = 0.449x - 30.27 B) $\hat { y }$ = 30.27x - 0.449 C) $\hat { \mathrm { y } }$ = 0.449x + 30.27 D) $\hat { y }$ = 30.27x + 0.449

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Number of absences, } \mathrm { x } & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \\ \hline \text { Final Grade, } \mathrm { y } & 93 & 81 & 75 & 77 & 66 & 87 & 50 & 71 & 77 \end{array}\]

A) -0.991 B) -0.888 C) -0.918 D) -0.899 A) -0.991 B) -0.888 C) -0.918 D) -0.899

Calculate the correlation coefficient, r, for the data below. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \mathrm { x } & 1 & 3 & 10 & 7 & 5 & 4 & 6 & 8 & 9 & 2 \\ \hline \mathrm { y } & 1 & - 4 & - 16 & - 11 & - 7 & - 6 & - 9 & - 14 & - 15 & - 2 \end{array}\]

A) -0.995 B) -0.671 C) -0.778 D) -0.885 A) -0.995 B) -0.671 C) -0.778 D) -0.885

Find the equation of the regression line for the given data. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \mathrm { x } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \\ \hline \mathrm { y } & - 10 & - 8 & 9 & 1 & - 2 & - 6 & - 1 & 3 & 6 & - 8 \end{array}\]

A) $\hat { y }$ = 2.097x - 0.552 B) $\mathrm { y }$ = 0.522x - 2.097 C) $\hat { \mathrm { y } }$ = 2.097x + 0.552 D) $\hat { \mathrm { y } }$ = -0.552x + 2.097 A) $\hat { y }$ = 2.097x - 0.552 B) $\mathrm { y }$ = 0.522x - 2.097 C) $\hat { \mathrm { y } }$ = 2.097x + 0.552 D) $\hat { \mathrm { y } }$ = -0.552x + 2.097

A calculus instructor is interested in finding the strength of a relationship between the final exam grades of students enrolled in Calculus I and Calculus II at his college. The data (in percentages)are listed below. \[\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Calculus I } & 88 & 78 & 62 & 75 & 95 & 91 & 83 & 86 & 98 \\ \hline \text { Calculus II } & 81 & 80 & 55 & 78 & 90 & 90 & 81 & 80 & 100 \end{array}\] a)Graph a scatter plot of the data. b)Find an equation of the regression line. c)Determine if there is a significant correlation between the data. Use $\alpha$ = 0.01. d)Predict a Calculus II exam score for a student who receives an 80 in Calculus I. Is your answer a valid prediction?

a)See graph below. @#IMG-DLM& b)ŷ = 1.044x - 5.99

Exam 9: Correlation and Regression

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Calculate the correlation coefficient r. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40

(Short Answer)

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Question 81

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Construct a scatter plot for the data. Number of absences, 0 3 6 4 9 2 15 8 5 Final grade, 98 86 80 82 71 92 55 76 82

(Essay)

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Question 82

The data below are the average monthly temperatures, in °F, and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Calculate the correlation coefficient, r. Temperature 47 35 21 27 39 48 61 65 70 Consumption 34 169 248 134 137 100 19 34 12

(Short Answer)

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Question 83

Which of the following values could not represent a correlation coefficient?

(Multiple Choice)

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Question 84

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches)and the yield of wheat (bushels per acre). Find the standard error of estimate, $\mathrm { Se } ,$ , given that ? = 4.379x + 4.267. Rain fall (in inches), 10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0 Yield (bushels per acre), y 50.5 46.2 58.8 59.0 82.4 49.2 31.9 76.0 78.8

(Multiple Choice)

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Question 85

The data below are the average monthly temperatures, in ${ } ^ { \circ } \mathrm { F } ,$ and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Find the standard error of estimate, s $\mathrm { Se }$ given that ŷ = -4.310x + 296.352. Temperature 47 35 21 27 39 48 61 65 70 Consumption 34 169 248 134 137 100 19 34 12

(Essay)

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Question 86

The data below are the ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Calculate the correlation coefficient, r. Age, 33 36 40 43 46 48 52 56 60 Pressure, 112 116 119 127 138 141 144 146 148

(Multiple Choice)

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Question 87

The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. Find the equation of the regression line for the given data. Temperature, 72 85 91 90 88 98 75 100 80 Number of absences, 3 7 10 10 8 15 4 15 5

(Multiple Choice)

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Question 88

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. Number of absences, 0 3 6 4 9 2 15 8 5 Final Grade, 93 81 75 77 66 87 50 71 77

(Multiple Choice)

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Question 89

Given a sample with r = 0.823, n = 10, and ? $\alpha$ = 0.05, determine the standardized test statistic t necessary to test the claim ? $Q$ = 0. Round answers to three decimal places.

(Multiple Choice)

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Question 90

Calculate the correlation coefficient, r, for the data below. 1 3 10 7 5 4 6 8 9 2 1 -4 -16 -11 -7 -6 -9 -14 -15 -2

(Multiple Choice)

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Question 91

Find the equation of the regression line for the given data. -5 -3 4 1 -1 -2 0 2 3 -4 -10 -8 9 1 -2 -6 -1 3 6 -8

(Multiple Choice)

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Question 92

A researcher found a significant relationship between a student?s $\mathrm { IQ } , \mathrm { x } _ { 1 } ,$ grade point average, $x _ { 2 }$ and the score, y, on the verbal section of the SAT test. The relationship can be represented by the multiple regression equation ? = 250 + $1.5 x _ { 1 }$ + $80 x 2$ Predict the SAT verbal score of a student whose IQ is 112 and grade point average is 3.4.

(Multiple Choice)

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Question 93

The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. What is the best predicted value for y given x = 84? Assume that the variables x and y Have a significant correlation. Temperature, 72 85 91 90 88 98 75 100 80 Number of absences, 3 7 10 10 8 15 4 15 5

(Multiple Choice)

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Question 94

Calculate the coefficient of determination, given that the linear correlation coefficient, r, is 1. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?

(Essay)

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Question 95

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Find the equation of the regression line for the given data. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40 40

(Short Answer)

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Question 96

Given the length of a humanʹs femur, x, and the length of a humanʹs humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?

(Multiple Choice)

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Question 97

A calculus instructor is interested in finding the strength of a relationship between the final exam grades of students enrolled in Calculus I and Calculus II at his college. The data (in percentages)are listed below. Calculus I 88 78 62 75 95 91 83 86 98 Calculus II 81 80 55 78 90 90 81 80 100 a)Graph a scatter plot of the data. b)Find an equation of the regression line. c)Determine if there is a significant correlation between the data. Use $\alpha$ = 0.01. d)Predict a Calculus II exam score for a student who receives an 80 in Calculus I. Is your answer a valid prediction?

(Essay)

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Question 98

Construct a scatter plot for the given data. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. -5 -3 4 1 -1 -2 0 2 3 -4 11 6 -6 -1 3 4 1 -4 -5 8

(Essay)

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Question 99

The data below are the average monthly temperatures, in ${ } ^ { \circ } \mathrm { F } ,$ and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Find the equation of the regression line for the given data. Temperature 47 35 21 27 39 48 61 65 70 Consumption 34 169 248 134 137 100 19 34 12

(Short Answer)

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Question 100

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Calculate the correlation coefficient r. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Construct a scatter plot for the data. Number of absences, 0 3 6 4 9 2 15 8 5 Final grade, 98 86 80 82 71 92 55 76 82

The data below are the average monthly temperatures, in °F, and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Calculate the correlation coefficient, r. Temperature 47 35 21 27 39 48 61 65 70 Consumption 34 169 248 134 137 100 19 34 12

Which of the following values could not represent a correlation coefficient?

The data below are the ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Calculate the correlation coefficient, r. Age, 33 36 40 43 46 48 52 56 60 Pressure, 112 116 119 127 138 141 144 146 148

The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. Find the equation of the regression line for the given data. Temperature, 72 85 91 90 88 98 75 100 80 Number of absences, 3 7 10 10 8 15 4 15 5

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. Number of absences, 0 3 6 4 9 2 15 8 5 Final Grade, 93 81 75 77 66 87 50 71 77

Given a sample with r = 0.823, n = 10, and ? $\alpha$ = 0.05, determine the standardized test statistic t necessary to test the claim ? $Q$ = 0. Round answers to three decimal places.

Calculate the correlation coefficient, r, for the data below. 1 3 10 7 5 4 6 8 9 2 1 -4 -16 -11 -7 -6 -9 -14 -15 -2

Find the equation of the regression line for the given data. -5 -3 4 1 -1 -2 0 2 3 -4 -10 -8 9 1 -2 -6 -1 3 6 -8

Calculate the coefficient of determination, given that the linear correlation coefficient, r, is 1. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Find the equation of the regression line for the given data. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40 40

Given the length of a humanʹs femur, x, and the length of a humanʹs humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?

Construct a scatter plot for the given data. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. -5 -3 4 1 -1 -2 0 2 3 -4 11 6 -6 -1 3 4 1 -4 -5 8

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With One Sample

Hypothesis Testing With Two Samples

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Exam 9: Correlation and Regression

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Calculate the correlation coefficient r. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Construct a scatter plot for the data. Number of absences, 0 3 6 4 9 2 15 8 5 Final grade, 98 86 80 82 71 92 55 76 82

The data below are the average monthly temperatures, in °F, and the monthly natural gas consumption, in ccf, for a household in northwestern Pennsylvania. Calculate the correlation coefficient, r. Temperature 47 35 21 27 39 48 61 65 70 Consumption 34 169 248 134 137 100 19 34 12

Which of the following values could not represent a correlation coefficient?

The data below are the ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Calculate the correlation coefficient, r. Age, 33 36 40 43 46 48 52 56 60 Pressure, 112 116 119 127 138 141 144 146 148

The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days. Find the equation of the regression line for the given data. Temperature, 72 85 91 90 88 98 75 100 80 Number of absences, 3 7 10 10 8 15 4 15 5

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient, r. Number of absences, 0 3 6 4 9 2 15 8 5 Final Grade, 93 81 75 77 66 87 50 71 77

Given a sample with r = 0.823, n = 10, and ? α\alphaα = 0.05, determine the standardized test statistic t necessary to test the claim ? QQQ = 0. Round answers to three decimal places.

Calculate the correlation coefficient, r, for the data below. 1 3 10 7 5 4 6 8 9 2 1 -4 -16 -11 -7 -6 -9 -14 -15 -2

Find the equation of the regression line for the given data. -5 -3 4 1 -1 -2 0 2 3 -4 -10 -8 9 1 -2 -6 -1 3 6 -8

Calculate the coefficient of determination, given that the linear correlation coefficient, r, is 1. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Find the equation of the regression line for the given data. Gestation, 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, 30 12 6 3 25 12 10 40 40

Given the length of a humanʹs femur, x, and the length of a humanʹs humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?

Construct a scatter plot for the given data. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. -5 -3 4 1 -1 -2 0 2 3 -4 11 6 -6 -1 3 4 1 -4 -5 8

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With One Sample

Hypothesis Testing With Two Samples

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Given a sample with r = 0.823, n = 10, and ? $\alpha$ = 0.05, determine the standardized test statistic t necessary to test the claim ? $Q$ = 0. Round answers to three decimal places.