Question 1

If Data A has a correlation coefficient of r = -0.991, and Data B has a correlation coefficient of r = 0.991, which correlation is correct?

Accepted Answer

A) Data A and Data B have the same strength in linear correlation. 
B) Data A has a stronger linear correlation than Data B. 
C) Data A has a weaker linear correlation than Data B. 
A) Data A and Data B have the same strength in linear correlation. 
B) Data A has a stronger linear correlation than Data B. 
C) Data A has a weaker linear correlation than Data B.

Question 2

Find the standard error of estimate, se, for the data below, given that y = -2.5x. $$\begin{array} { c | c | c | c | c | } 
\mathrm { x } & - 1 & - 2 & - 3 & - 4 \
\hline \mathrm { y } & 2 & 6 & 7 & 10
\end{array}$$

Accepted Answer

A) 0.866 
B) 0.675 
C) 0.532 
D) 0.349 
A) 0.866 
B) 0.675 
C) 0.532 
D) 0.349

Question 3

A manager wishes to determine the relationship between the number of miles (in hundreds of miles)the
managerʹs sales representatives travel per month and the amount of sales (in thousands of dollars)per month.
Construct a scatter plot for the data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Miles traveled, x } & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \
\hline \text { Sales, y } & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120
\end{array}$$

Accepted Answer

The answer of A manager wishes to determine the relationship...

Question 4

In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below show the relationship between the number of years that
Applicants have studied a particular language and the grades they received on the proficiency exam. What is
The best predicted value for y given x = 5.5? Assume that the variables x and y have a significant correlation. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Number of years, } \mathrm { x } & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \
\hline \text { Grades on test, } \mathrm { y } & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72
\end{array}$$

Accepted Answer

A) 84 
B) 82 
C) 80 
D) 86 
A) 84 
B) 82 
C) 80 
D) 86

Question 5

Given the equation of a regression line is y = -2.5x+ 5.3, what is the best predicted value for y given x = 4.9? Assume that the variables x and y have a significant correlation.

Accepted Answer

A) -6.95 
B) -17.55 
C) 17.55 
D) 6.95 
A) -6.95 
B) -17.55 
C) 17.55 
D) 6.95

Question 6

Construct a 95% prediction interval for y given x = 2.5, ? = -2.5x and $\mathrm { Se }$ = 0.866. Round interval to three decimal places. $$\begin{array} { l | c | c | c | c | } 
\mathrm { x } & - 1 & - 2 & - 3 & - 4 \
\hline \mathrm { y } & 2 & 6 & 7 & 10
\end{array}$$

Accepted Answer

A)  $- 15.566 < y < 3.066$ 
B)  $- 12.594 < \mathrm { y } < 0.094$ 
C)  $- 16.156 < y < 3.656$ 
D)  $- 8.244 < y < - 4.256$ 
A)  $- 15.566 < y < 3.066$ 
B)  $- 12.594 < \mathrm { y } < 0.094$ 
C)  $- 16.156 < y < 3.656$ 
D)  $- 8.244 < y < - 4.256$

Question 7

In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that
Applicants have studied a particular language and the grades they received on the proficiency exam. Find the
Equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Number of years, } \mathrm { x } & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \
\hline \text { Grades on test, } \mathrm { y } & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72
\end{array}$$

Accepted Answer

A)  $\hat { \hat { y } }$ = 6.910x + 46.261 
B)  $\hat { \mathrm { y } }$ = 6.910x - 46.261 
C)  $\hat { \mathrm { y } }$ = 46.261x - 6.910 
D)  $\hat { \mathbf { y } }$ = 46.261x + 6.910 
A)  $\hat { \hat { y } }$ = 6.910x + 46.261 
B)  $\hat { \mathrm { y } }$ = 6.910x - 46.261 
C)  $\hat { \mathrm { y } }$ = 46.261x - 6.910 
D)  $\hat { \mathbf { y } }$ = 46.261x + 6.910

Question 8

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours
they studied for the exam. Test the significance of the correlation coefficient using α $\alpha = 0.05$ and the claim ρ $Q = 0 \text {. }$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\text { Hours, } \mathrm { x } & 4 & 6 & 3 & 9 & 3 & 5 & 5 & 6 & 7 & 4 \
\hline \text { Scores, } y & 67 & 82 & 62 & 90 & 68 & 80 & 87 & 92 & 92 & 73
\end{array}$$

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 9

Find the standard error of estimate, $Se$ for the data below, given that $\hat { \mathrm { y } } = - 0.206 \mathrm { x } + 2.097$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\mathrm { x } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \
\hline \mathrm { y } & 11 & - 6 & 8 & - 3 & - 2 & 1 & 5 & - 5 & 6 & 7
\end{array}$$

Accepted Answer

A) 6.306 
B) 3.203 
C) 5.918 
D) 8.214 
A) 6.306 
B) 3.203 
C) 5.918 
D) 8.214

Question 10

Construct a scatter plot for the given data. Determine whether there is a positive linear correlation, negative
linear correlation, or no linear correlation. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\mathrm { x } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \
\hline \mathrm { y } & 11 & - 6 & 8 & - 3 & - 2 & 1 & 5 & - 5 & 6 & 7
\end{array}$$

Accepted Answer

@#IMG-DLM& There app

Question 11

A manager wishes to determine the relationship between the number of miles (in hundreds of miles)the manager?s sales representatives travel per month and the amount of sales (in thousands of dollars)per month.
Calculate the correlation coefficient, r. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Miles traveled, } \mathrm { x } & 5 & 6 & 13 & 10 & 11 & 18 & 6 & 4 & 14 \
\hline \text { Sales, y } & 30 & 32 & 77 & 61 & 64 & 60 & 47 & 54 & 119
\end{array}$$

Accepted Answer

A) 0.632 
B) 0.561 
C) 0.717 
D) 0.791 
A) 0.632 
B) 0.561 
C) 0.717 
D) 0.791

Question 12

Given a sample with r = -0.765, n = 22, and ? $\alpha$ = 0.02, determine the standardized test statistic t necessary to test the claim ? $\text { Q }$ = 0. Round answers to three decimal places.

Accepted Answer

A) -5.312 
B) -4.392 
C) -3.783 
D) -2.653 
A) -5.312 
B) -4.392 
C) -3.783 
D) -2.653

Question 13

Given a sample with r = 0.321, n = 30, and ? $\alpha$ = 0.10, determine the critical values $\mathrm { t } _ { 0 }$ necessary to test the claim $Q$ ? = 0.

Accepted Answer

A)  $\pm 1.701$ 
B)  $\pm 1.311$ 
C)  $\pm 2.462$ 
D)  $\pm 0.683$ 
A)  $\pm 1.701$ 
B)  $\pm 1.311$ 
C)  $\pm 2.462$ 
D)  $\pm 0.683$

Question 14

The data below are ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Age, } \mathrm { x } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \
\hline \text { Pressure, } \mathrm { y } & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152
\end{array}$$

Accepted Answer

A)  $\hat { y }$ = 1.488x + 60.461 
B)  $\hat { y }$ = 60.461x - 1.488 
C)  $\hat { y }$ = 1.448x - 60.461 
D)  $\hat { \mathrm { y } }$ = 60.461x + 1.488 
A)  $\hat { y }$ = 1.488x + 60.461 
B)  $\hat { y }$ = 60.461x - 1.488 
C)  $\hat { y }$ = 1.448x - 60.461 
D)  $\hat { \mathrm { y } }$ = 60.461x + 1.488

Question 15

Explain the difference between ∑ $\sum x ^ { 2 } \text { and } \left( \sum x \right) ^ { 2 }$

Accepted Answer

@#IMG-DLM& means square each x-value and

Question 16

Find the equation of the regression line for the given data. $$\begin{array} { c | c | c | c | c | c | c | c | c | c | c | } 
\mathrm { x } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \
\hline \mathrm { y } & 11 & 6 & - 6 & - 1 & 3 & 4 & 1 & - 4 & - 5 & 8
\end{array}$$

Accepted Answer

A)  $\hat { \mathrm { y } }$ = -1.885x + 0.758 
B)  $\hat { \mathrm { y } }$ = 0.758x + 1.885 
C)  $\text { y }$ = -0.758x - 1.885 
D)  $\hat { y }$ = 1.885x - 0.758 
A)  $\hat { \mathrm { y } }$ = -1.885x + 0.758 
B)  $\hat { \mathrm { y } }$ = 0.758x + 1.885 
C)  $\text { y }$ = -0.758x - 1.885 
D)  $\hat { y }$ = 1.885x - 0.758

Question 17

Construct a 95% prediction interval for y given x = 2.5, ŷ = 2x + 4 and $\mathrm { Se } = 0$ $$\begin{array} { l | l | l | c | c | } 
\mathrm { x } & 1 & 2 & 3 & 4 \
\hline \mathrm { y } & 6 & 8 & 10 & 12
\end{array}$$

Accepted Answer

Since @#IMG-DLM& = 0

Question 18

Identify the explanatory variable and the response variable.
-A college counselor wants to determine if the number of hours spent studying for a test can be used to predict
the grades on a test.

Accepted Answer

explanatory variable

Question 19

For the data below, test the significance of the correlation coefficient using α $\alpha$ = 0.10 and the claim ρ $Q = 0 .$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\mathrm { x } & - 10 & - 8 & - 1 & - 4 & - 6 & - 7 & - 5 & - 3 & - 2 & - 9 \
\hline \mathrm { y } & 15 & - 2 & 12 & 1 & 2 & 5 & 9 & - 1 & 10 & 11
\end{array}$$

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 20

The data below are the ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly
selected adults. Test the significance of the correlation coefficient using α $\alpha$ = 0.05 and the claim ρ $\varrho = 0 \text {. }$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Age, } \mathrm { x } & 43 & 46 & 50 & 53 & 56 & 58 & 62 & 66 & 70 \
\hline \text { Pressure, } \mathrm { y } & 114 & 118 & 121 & 129 & 140 & 143 & 146 & 148 & 150
\end{array}$$

Accepted Answer

critical value @#IMG-DLM& standardized t

If Data A has a correlation coefficient of r = -0.991, and Data B has a correlation coefficient of r = 0.991, which correlation is correct?

Find the standard error of estimate, se, for the data below, given that y = -2.5x. -1 -2 -3 -4 2 6 7 10

Given the equation of a regression line is y = -2.5x+ 5.3, what is the best predicted value for y given x = 4.9? Assume that the variables x and y have a significant correlation.

Construct a 95% prediction interval for y given x = 2.5, ? = -2.5x and $\mathrm { Se }$ = 0.866. Round interval to three decimal places. -1 -2 -3 -4 2 6 7 10

Find the standard error of estimate, $Se$ for the data below, given that $\hat { \mathrm { y } } = - 0.206 \mathrm { x } + 2.097$ -5 -3 4 1 -1 -2 0 2 3 -4 11 -6 8 -3 -2 1 5 -5 6 7

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 8 -3 -2 1 5 -5 6 7

Given a sample with r = -0.765, n = 22, and ? $\alpha$ = 0.02, determine the standardized test statistic t necessary to test the claim ? $\text { Q }$ = 0. Round answers to three decimal places.

Given a sample with r = 0.321, n = 30, and ? $\alpha$ = 0.10, determine the critical values $\mathrm { t } _ { 0 }$ necessary to test the claim $Q$ ? = 0.

The data below are ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Find the equation of the regression line for the given data. Age, 38 41 45 48 51 53 57 61 65 Pressure, 116 120 123 131 142 145 148 150 152

Explain the difference between ∑ $\sum x ^ { 2 } \text { and } \left( \sum x \right) ^ { 2 }$

Find the equation of the regression line for the given data. -5 -3 4 1 -1 -2 0 2 3 -4 11 6 -6 -1 3 4 1 -4 -5 8

Construct a 95% prediction interval for y given x = 2.5, ŷ = 2x + 4 and $\mathrm { Se } = 0$ 1 2 3 4 6 8 10 12

Identify the explanatory variable and the response variable. -A college counselor wants to determine if the number of hours spent studying for a test can be used to predict the grades on a test.

For the data below, test the significance of the correlation coefficient using α $\alpha$ = 0.10 and the claim ρ $Q = 0 .$ -10 -8 -1 -4 -6 -7 -5 -3 -2 -9 15 -2 12 1 2 5 9 -1 10 11

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

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Exam 9: Correlation and Regression

If Data A has a correlation coefficient of r = -0.991, and Data B has a correlation coefficient of r = 0.991, which correlation is correct?

Find the standard error of estimate, se, for the data below, given that y = -2.5x. -1 -2 -3 -4 2 6 7 10

Given the equation of a regression line is y = -2.5x+ 5.3, what is the best predicted value for y given x = 4.9? Assume that the variables x and y have a significant correlation.

Construct a 95% prediction interval for y given x = 2.5, ? = -2.5x and Se\mathrm { Se }Se = 0.866. Round interval to three decimal places. -1 -2 -3 -4 2 6 7 10

Find the standard error of estimate, SeSeSe for the data below, given that y^=−0.206x+2.097\hat { \mathrm { y } } = - 0.206 \mathrm { x } + 2.097y^​=−0.206x+2.097 -5 -3 4 1 -1 -2 0 2 3 -4 11 -6 8 -3 -2 1 5 -5 6 7

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 8 -3 -2 1 5 -5 6 7

Given a sample with r = -0.765, n = 22, and ? α\alphaα = 0.02, determine the standardized test statistic t necessary to test the claim ? Q \text { Q } Q = 0. Round answers to three decimal places.

Given a sample with r = 0.321, n = 30, and ? α\alphaα = 0.10, determine the critical values t0\mathrm { t } _ { 0 }t0​ necessary to test the claim QQQ ? = 0.

The data below are ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Find the equation of the regression line for the given data. Age, 38 41 45 48 51 53 57 61 65 Pressure, 116 120 123 131 142 145 148 150 152

Explain the difference between ∑ ∑x2 and (∑x)2\sum x ^ { 2 } \text { and } \left( \sum x \right) ^ { 2 }∑x2 and (∑x)2

Find the equation of the regression line for the given data. -5 -3 4 1 -1 -2 0 2 3 -4 11 6 -6 -1 3 4 1 -4 -5 8

Construct a 95% prediction interval for y given x = 2.5, ŷ = 2x + 4 and Se=0\mathrm { Se } = 0Se=0 1 2 3 4 6 8 10 12

Identify the explanatory variable and the response variable. -A college counselor wants to determine if the number of hours spent studying for a test can be used to predict the grades on a test.

For the data below, test the significance of the correlation coefficient using α α\alphaα = 0.10 and the claim ρ Q=0.Q = 0 .Q=0. -10 -8 -1 -4 -6 -7 -5 -3 -2 -9 15 -2 12 1 2 5 9 -1 10 11

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

Construct a 95% prediction interval for y given x = 2.5, ? = -2.5x and $\mathrm { Se }$ = 0.866. Round interval to three decimal places. -1 -2 -3 -4 2 6 7 10

Find the standard error of estimate, $Se$ for the data below, given that $\hat { \mathrm { y } } = - 0.206 \mathrm { x } + 2.097$ -5 -3 4 1 -1 -2 0 2 3 -4 11 -6 8 -3 -2 1 5 -5 6 7

Given a sample with r = -0.765, n = 22, and ? $\alpha$ = 0.02, determine the standardized test statistic t necessary to test the claim ? $\text { Q }$ = 0. Round answers to three decimal places.

Given a sample with r = 0.321, n = 30, and ? $\alpha$ = 0.10, determine the critical values $\mathrm { t } _ { 0 }$ necessary to test the claim $Q$ ? = 0.

Explain the difference between ∑ $\sum x ^ { 2 } \text { and } \left( \sum x \right) ^ { 2 }$

Construct a 95% prediction interval for y given x = 2.5, ŷ = 2x + 4 and $\mathrm { Se } = 0$ 1 2 3 4 6 8 10 12

For the data below, test the significance of the correlation coefficient using α $\alpha$ = 0.10 and the claim ρ $Q = 0 .$ -10 -8 -1 -4 -6 -7 -5 -3 -2 -9 15 -2 12 1 2 5 9 -1 10 11