Question

A scatter diagram is a graph that portrays a correlation between a ________________variable and a _______________ variable.

The _________________ of _________________ is expressed as a percent, its value is between 0 and 100%.

In plotting paired data in a scatter diagram, the independent variable is scaled on the __________________.

If there is absolutely no relationship between two variables,
Pearson's *r* will equal _____.

________________________________________

If the coefficient of correlation is 0.80, the coefficient of
determination is _____.

________________________________________

The proportion of explained variation is called the
_______________.

________________________________________

The _______________ principle is applied when calculating the
regression coefficients.

________________________________________

If the slope of a regression line is zero, the orientation of the regression line is _________, which indicates a lack of a relationship.

What is the test statistic to test the significance of the slope in a regression equation?

The regression equation is Ŷ = 29.29 - 0.96X, the sample size is
8, and the standard error of the slope is 0.22. What is the
critical value to test the significance of the slope at the 0.01
significance level?

A sales manager for an advertising agency believes that there is a
relationship between the number of contacts that a salesperson
makes and the amount of sales dollars earned.

What is the dependent variable?

Answer #1

A scatter diagram is a graph that
portrays the correlation between a **dependent**
variable and an **independent**
variable.

The **coefficient** of
**determination**
is expressed as a percent, its vale is between 0% and 100%.

In plotting paired data in a scatter diagram, the independent
variable is scaled on the **horizontal
axis**.

If there is absolutely no relationship between two variables,
Pearson's *r* will equal **zero**.

If the coefficient of correlation is 0.80, the coefficient of
determination is **0.64**.
[i.e., 0.80^{2} = 0.64]

The proportion of explained variation is called the **Coefficient of
determination**.

The **least
square** principle is applied when calculating the
regression coefficients.

If the slope of a regression line is
zero, the orientation of the regression line is **horizontal**, which indicates a
lack of a relationship.

The proportion of explained variation is called the
_______________.
If there is absolutely no relationship between two variables,
Pearson's r will equal _____.
The _______________ principle is applied when calculating the
regression coefficients.
The _________________ of _________________ is expressed as a
percent, its value is between 0 and 100%.
In plotting paired data in a scatter diagram, the independent
variable is scaled on the __________________.

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
6
6
11
15
Which of the following scatter diagrams accurately represents
the data?
1.
2.
3.
What does the scatter diagram indicate about the relationship
between the two variables?
Develop the estimated regression equation by computing the the
slope and the y intercept of the estimated regression line
(to 1 decimal).
ŷ = + x
Use the estimated regression equation to...

A study of emergency service facilities investigated the
relationship between the number of facilities and the average
distance traveled to provide the emergency service. The following
table gives the data collected.
Number of
Facilities
Average
Distance
(miles)
9
1.65
11
1.12
16
0.84
21
0.61
27
0.50
30
0.47
(b)
Does a simple linear regression model appear to be appropriate?
Explain.
Yes, the scatter diagram suggests that there is a linear
relationship.
No, the scatter diagram suggests that there is...

Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−7
−17
13
4
16
Y:
57
247
157
2
343
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)

A study of emergency service facilities investigated the
relationship between the number of facilities and the average
distance traveled to provide the emergency service. The following
table gives the data collected.
Number of
Facilities
Average
Distance
(miles)
9
1.67
11
1.12
16
0.82
21
0.63
27
0.50
30
0.47
(a)
Develop a scatter diagram for these data, treating average
distance traveled as the dependent variable.
(b) Does a simple linear regression model appear to be
appropriate? Explain.
No, the scatter...

Please answer the question briefly and
clearly.
1. The best model to describe a linear relationship between two
variables is the _______.
2. An assumption of linear regression states that for each value
of X, there is a group of Y values that are
statistically (Independent) and (normally
distributed) about the regression line.
3. If the slope of a regression line is zero, the orientation of
the regression line is (Flat, or Constant), which
indicates a lack of a relationship....

a. If r is a negative number, then b (in the line of regression
) is negative.
true or false
b.The line of regression is use to predict the theoric average
value of y that we expect to occur when we know the value of x.
true or false
c. We can predict no matter the strength of the correlation
coefficient.
true or false
d. The set of all possible values of r is, {r: -1< r <
1
treu...

Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−8
−17
13
4
16
Y:
53
247
155
1
339
Click here for the Excel Data File
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)

Refer to the Lincolnville School bus data 2015. Develop a
regression equation that expresses the relationship between age of
the bus and maintenance cost. The age of the bus is the independent
variable.
a. Draw a scatter diagram. What does this diagram suggest as to
the relationship between the two variables? Is it direct or
indirect? Does it appear to be strong or weak?
b. Develop a regression equation. How much does an additional
year add to the maintenance cost....

Barclay's manager of Financial Service wants to find out
the relationship between the number of client contacts and the
dollar amount of sales ($ thousands). She recorded the amount of
sales ($ thousands) last month from ten randomly selected clients.
The results from the Regression are presented below:
y^=1.4606x-6.5321;R2=0.735
What are the Independent and Dependent Variables?
Independent variable:
Dependent variable:
What is the value of the correlation coefficient?
Interpret it.
What % of the variation in the amount of sales...

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