Question 1

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

Accepted Answer

A)  caused by a third variable 
B)  uncorrelated 
C)  direct cause-and-effect 
D)  negative effect 
A)  caused by a third variable 
B)  uncorrelated 
C)  direct cause-and-effect 
D)  negative effect

Question 2

If there are three independent variables $x _ { 1 } , x _ { 2 }$, and $x _ { 3 }$ available, then the value of $R ^ { 2 }$ for a multiple regression of $y$ using $x _ { 1 } , x _ { 2 }$, and $x _ { 3 }$ will always be smaller than the value of $r ^ { 2 }$ for a multiple regression of $y$ using just $x _ { 1 }$.

Accepted Answer

A) True 
 B)False

Question 3

$$\text { If the correlation coefficient } r \text { is equal to } 0.652 \text {, find the coefficient of nondetermination. }$$

Accepted Answer

A)  0.807 
B)  0.539 
C)  0.425 
D)  0.575 
A)  0.807 
B)  0.539 
C)  0.425 
D)  0.575

Question 4

In a multiple regression model $y ^ { \prime } = - 11 + 2 x _ { 1 } + 9 x _ { 2 } + 5 x _ { 3 } + 4 x _ { 4 }$, if the value of $x _ { 2 }$ increases by 6 and the value of $x _ { 3 }$ decreases by 3 , then the predicted value for $y$ will

Accepted Answer

A)  increase by 39. 
B)  decrease by 69. 
C)  decrease by 39. 
D)  increase by 69. 
A)  increase by 39. 
B)  decrease by 69. 
C)  decrease by 39. 
D)  increase by 69.

Question 5

The total blood cholesterol concentrations, in $\mathrm { mg } / \mathrm { dL }$, are shown below for a random sample of six people. In the table below, $x$ is the age of the subject and $y$ is the subject's total cholesterol concentration. Find the $95 \%$ prediction interval when $x = 58$ years.
$\begin{array}{l|cccccc}
x \text { (age) } & 36 & 49 & 58 & 69 & 63 & 71 \
\hline y(\mathrm{mg} / \mathrm{dL}) & 204 & 194 & 209 & 257 & 245 & 256
\end{array}$

Accepted Answer

Regression line: @#LAT-DLM&
St

Question 6

A random sample of scoring leaders from the NHL showed the following number assists and total points. Based on the data, can it be concluded that there is a signi relationship between the two?
a. Draw the scatter plot for the variables.
b. Give a brief explanation of the type of relationship.
$\begin{array} { c c } \text { Assists } x & \text { Total Points } y \ 26 & 48 \ 29 & 68 \ 32 & 66 \ 34 & 69 \ 36 & 76 \ 37 & 67 \ 40 & 84 \end{array}$

Accepted Answer

a)
@#IMG-DLM&
b) There appears to be a p

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities.
$\begin{array} { c c } \text { Price } & \text { Demand } \ 23 & 17 \ 18 & 48 \ 19 & 41 \ 21 & 38 \ 20 & 33 \ 25 & 17 \ 22 & 35 \ 17 & 52 \ 22 & 24 \end{array}$

Accepted Answer

The answer of Draw a scatter plot for the following...

Question 9

A researcher has reason to believe that, for an experiment with 30 points, a 95%
prediction interval would be of width 8. If the researcher wishes to run a more
precise experiment that will result in a 95% prediction interval of width 4, then
the researcher will require how many points?

Accepted Answer

more than

Question 10

Year and contribution data are as follows:
$\begin{array} { c c } \text { Years } x & \text { Contribution } y \ 1 & 500 \ 5 & 100 \ 3 & 300 \ 10 & 50 \ 7 & 75 \ 6 & 80 \end{array}$
Predict the contribution if $x = 4$ years.

Accepted Answer

A)  $y ^ { \prime } = \$ 402.74$ when $x = 4$ years. 
B)  $y ^ { \prime } = \$ 251.42$ when $x = 4$ years. 
C)  $y ^ { \prime } = - \$ 50.44$ when $x = 4$ years. 
D)  $y ^ { \prime } = \$ 453.18$ when $x = 4$ years. 
A)  $y ^ { \prime } = \$ 402.74$ when $x = 4$ years. 
B)  $y ^ { \prime } = \$ 251.42$ when $x = 4$ years. 
C)  $y ^ { \prime } = - \$ 50.44$ when $x = 4$ years. 
D)  $y ^ { \prime } = \$ 453.18$ when $x = 4$ years.

Question 11

$$\text { Determine the type of relationship shown in the figure below. }$$

Accepted Answer

A)  multiple 
B)  positive 
C)  There is no relationship. 
D)  negative 
A)  multiple 
B)  positive 
C)  There is no relationship. 
D)  negative

Question 12

Stories and heights of buildings data follow:
$\begin{array} { c c } \text { Stories } x & \text { Height } y \ 64 & 841 \ 54 & 725 \ 40 & 635 \ 31 & 616 \ 45 & 615 \ 38 & 582 \ 42 & 535 \ 41 & 520 \ 37 & 418 \end{array}$
Predict the height of the building if $x = 44$ stories.

Accepted Answer

A)  $y ^ { \prime } = 206.4$ feet when $x = 44$ stories. 
B)  $y ^ { \prime } = 9.262$ feet when $x = 44$ stories. 
C)  $y ^ { \prime } = 407.5$ feet when $x = 44$ stories. 
D)  $y ^ { \prime } = 613.9$ feet when $x = 44$ stories. 
A)  $y ^ { \prime } = 206.4$ feet when $x = 44$ stories. 
B)  $y ^ { \prime } = 9.262$ feet when $x = 44$ stories. 
C)  $y ^ { \prime } = 407.5$ feet when $x = 44$ stories. 
D)  $y ^ { \prime } = 613.9$ feet when $x = 44$ stories.

Question 13

If the equation for the regression line is $y ^ { \prime } = 9 x - 5$, then a value of $x = 2$ will result in a predicted value for $y$ of

Accepted Answer

A)  23 
B)  19 
C)  14 
D)  13 
A)  23 
B)  19 
C)  14 
D)  13

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

$\text { If the correlation coefficient } r \text { is equal to } 0.652 \text {, find the coefficient of nondetermination. }$

In a multiple regression model $y ^ { \prime } = - 11 + 2 x _ { 1 } + 9 x _ { 2 } + 5 x _ { 3 } + 4 x _ { 4 }$ , if the value of $x _ { 2 }$ increases by 6 and the value of $x _ { 3 }$ decreases by 3 , then the predicted value for $y$ will

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

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities. Price Demand 23 17 18 48 19 41 21 38 20 33 25 17 22 35 17 52 22 24

A researcher has reason to believe that, for an experiment with 30 points, a 95% prediction interval would be of width 8. If the researcher wishes to run a more precise experiment that will result in a 95% prediction interval of width 4, then the researcher will require how many points?

Year and contribution data are as follows: Years x Contribution y 1 500 5 100 3 300 10 50 7 75 6 80 Predict the contribution if $x = 4$ years.

$\text { Determine the type of relationship shown in the figure below. }$ $\text { Determine the type of relationship shown in the figure below. }$

Stories and heights of buildings data follow: Stories x Height y 64 841 54 725 40 635 31 616 45 615 38 582 42 535 41 520 37 418 Predict the height of the building if $x = 44$ stories.

If the equation for the regression line is $y ^ { \prime } = 9 x - 5$ , then a value of $x = 2$ will result in a predicted value for $y$ of

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 10: Correlation and Regression

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

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

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities. Price Demand 23 17 18 48 19 41 21 38 20 33 25 17 22 35 17 52 22 24

A researcher has reason to believe that, for an experiment with 30 points, a 95% prediction interval would be of width 8. If the researcher wishes to run a more precise experiment that will result in a 95% prediction interval of width 4, then the researcher will require how many points?

Year and contribution data are as follows: Years x Contribution y 1 500 5 100 3 300 10 50 7 75 6 80 Predict the contribution if x=4x = 4x=4 years.

Determine the type of relationship shown in the figure below. \text { Determine the type of relationship shown in the figure below. } Determine the type of relationship shown in the figure below.

Stories and heights of buildings data follow: Stories x Height y 64 841 54 725 40 635 31 616 45 615 38 582 42 535 41 520 37 418 Predict the height of the building if x=44x = 44x=44 stories.

If the equation for the regression line is y′=9x−5y ^ { \prime } = 9 x - 5y′=9x−5 , then a value of x=2x = 2x=2 will result in a predicted value for yyy of

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Year and contribution data are as follows: Years x Contribution y 1 500 5 100 3 300 10 50 7 75 6 80 Predict the contribution if $x = 4$ years.

$\text { Determine the type of relationship shown in the figure below. }$ $\text { Determine the type of relationship shown in the figure below. }$

Stories and heights of buildings data follow: Stories x Height y 64 841 54 725 40 635 31 616 45 615 38 582 42 535 41 520 37 418 Predict the height of the building if $x = 44$ stories.

If the equation for the regression line is $y ^ { \prime } = 9 x - 5$ , then a value of $x = 2$ will result in a predicted value for $y$ of