Quiz about Statistics Unit Review

Question 1

What type of association does this graph have?

Accepted Answer

negative

Answer

positive

Answer

none

Answer

all of the above

Question 2

What is the type of association?

Accepted Answer

no association

Answer

Negative

Answer

positive

Question 3

What type of association does this graph have?

Accepted Answer

positive

Answer

negative

Answer

none

Answer

all of the above

Question 4

What type of association does this graph show?

Accepted Answer

none

Answer

Positive

Answer

negative

Answer

all of the above

Question 5

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

Accepted Answer

18 chapters

Answer

12 chapters

Answer

15 chapters

Answer

21 chapters

Question 6

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

Accepted Answer

Negative correlation

Answer

Positive correlation

Answer

No correlation

Question 7

A person travels by car.  They record their miles driven in a data table.  Identify the x-variable (input) of the data.

Accepted Answer

Time (hours)

Answer

Distance (miles)

Question 8

The linear regression equation is y = 61.93x - 1.79.  According to the equation, the y-intercept can be interpreted as:

Accepted Answer

After 0 hours of driving, they went -1.79 miles.

Answer

They are driving -1.79 miles per hour.

Answer

They drove 1.79 miles total.

Answer

They drive 1.79 hours total.

Question 9

The linear regression equation is y = 61.93x - 1.79.  Identify the slope of the equation.

Accepted Answer

Slope = 61.93

Answer

Slope = -1.79

Answer

Slope = (0, -1.79)

Answer

Slope = (0, 61.93)

Question 10

The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:

Accepted Answer

They drove at a speed of 61.93 miles per hour.

Answer

After 0 hours of driving, they went 61.93 miles.

Answer

They drove 61.93 miles total.

Answer

They drove 61.93 hours total.

Question 11

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

Accepted Answer

y = 61.93x - 1.79

Answer

y = -1.79x + 61.93

Answer

y = 0.016x + 0.03

Answer

y = 0.03x + 0.016

Question 12

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

Accepted Answer

617.5 miles

Answer

10 miles

Answer

0.19 miles

Answer

500 miles

Question 13

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

Accepted Answer

y = 1.5x + 12

Answer

y = 12x + 1.5

Answer

y = 0.67x - 8

Answer

y = -8x + 0.67

Question 14

The linear regression equation for the data is  y = 1.5x + 12.  Interpret the y-intercept of the equation.

Accepted Answer

The y-intercept is (0, 12).  It means that a pizza with 0 toppings will cost 12 dollars.

Answer

The y-intercept is 12.  It means that it costs 12 dollars per topping.

Answer

There are 12 toppings.

Answer

There are 12 pizzas.

Question 15

The linear regression equation for the data is  y = 1.5x + 12.  Use the equation to predict the cost of a pizza that has 8 toppings.

Accepted Answer

$24

Answer

$8

Answer

$12

Answer

$28

Question 16

r=-0.89

Accepted Answer

Strong negative

Answer

Strong positive

Answer

Weak positive

Answer

Weak negative

Question 17

r=0.3

Accepted Answer

Weak positive

Answer

Strong positive

Answer

Strong negative

Answer

Weak negative

Question 18

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = 0.89

Answer

r = 1.2

Answer

r = 0

Answer

r = -0.89

Question 19

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = -0.9

Answer

r = 1

Answer

r = 0.9

Answer

r = -1

Question 20

Which sentence describes the relationship shown on this scatterplot?

Accepted Answer

As the temperature increases, the number of visitors increases.

Answer

As the temperature decreases, the visitors increase.

Answer

As the visitors increase, the temperature decreases.

Answer

No correlation

Question 21

What is a line of best fit used for?

Accepted Answer

To make predictions

Answer

To make the graph look pretty

Answer

To connect the points

Question 22

What would the correlation be between math grades and the time it takes to run a mile ?

Accepted Answer

No Correlation

Answer

Postive Correlation

Answer

Negative Correlation

Answer

Cannot Be Determined

Question 23

What should a residual plot look like?

Accepted Answer

Random

Answer

Distinct Pattern

Answer

Curve

Question 24

How do you calculate a residual?

Accepted Answer

Observed - Predicted

Answer

Predicted - Observed

Question 25

Residuals are . . .

Accepted Answer

the difference between the observed response and the values predicted by the model

Answer

possible models not explored by the researcher

Answer

variation in the response variable that is explained by the model

Answer

data collected from individuals that is not consistent with the rest of the group

Question 26

Which is TRUE?
I. Random scatter in the residuals indicates a linear model.
II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1.
III. Changing the units of measurement for x or y changes the correlation coefficient.

Accepted Answer

I and II only

Answer

I only

Answer

II only

Answer

I, II and III

Question 27

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

Accepted Answer

NO

Answer

YES

Question 28

After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?

Accepted Answer

A

Answer

B

Answer

C

Question 29

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

Accepted Answer

YES

Answer

NO

Question 30

The equation of the least squares regression line is y (hat) = 1.3 + 0.73x.  What is the residual for the point (4,7)?

Accepted Answer

2.78

Answer

3.00

Answer

4.00

Answer

4.22

Question 31

Which statement(s) about influential points is true?

I. Removal of an influential point changes the regression line.

II. Data points that are outliers in the horizontal direction are more likely to be influential than

points that are outliers in the vertical direction.

III. Influential points have large residuals.

Accepted Answer

I and II

Answer

I only

Answer

I and III

Answer

II and III

Answer

I, II, and III

Question 32

Which is true?

I. Random scatter in the residuals indicates a model with high predictive power.

II. If two variables are very strongly associated, then the correlation between them will be near

+1.0 or -1.0.

III. The higher the correlation between two variables the more likely the association is based in

cause and effect.

Accepted Answer

none

Answer

I only

Answer

II only

Answer

I and II only

Answer

I, II, and III

Question 33

The image shows a cluster of points with a "stray point." Which answer choice best describes this stray point?

Accepted Answer

Outlier Only

Answer

Influential Point Only

Answer

Outlier and Influential Point

Question 34

The image shows a cluster of points with a "stray point." Which answer choice best describes this stray point?

Accepted Answer

Outlier and Influential Point

Answer

Outlier Only

Answer

Influential Point Only

Question 35

What is a line of best fit used for?

Accepted Answer

To make predictions

Answer

To make the graph look pretty

Answer

To connect the points

Answer

To make it look like you know what you are doing

Question 36

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

Accepted Answer

As x increases, y decreases

Answer

As x increases, y increases

Answer

As x decreases, y decreases

Question 37

Identify the outlier

Accepted Answer

(38, 95)

Answer

(95, 38)

Answer

there is no outlier

Question 38

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 39

What would the correlation be between math grades and the time it takes to run a mile ?

Accepted Answer

No Correlation

Answer

Postive Correlation

Answer

Negative Correlation

Answer

Cannot Be Determined

Question 40

What is the line of best fit for the data?

Accepted Answer

y = .25x + 8.25

Answer

y = 8.25x + .25

Answer

y = x + 1

Question 41

Based on the running and push-ups model (y = 7.62x + .72), how many miles should someone be able to run if that person does 24 push-ups? Also, would evaluating the function at 24 push-ups be considered interpolation or extrapolation?

Accepted Answer

3.06 miles, interpolation

Answer

3.06 miles, extrapolation

Answer

183.6 miles, interpolation

Answer

183.6 miles, extrapolation

Question 42

Based on the running and push-ups model (y = 7.62x + .72), how many miles should someone be able to run if that person does 30 push-ups? Also, would evaluating the function at 30 push-ups be considered interpolation or extrapolation?

Accepted Answer

3.84 miles, extrapolation

Answer

3.84 miles, interpolation

Answer

229.32 miles, interpolation

Answer

229.32 miles, extrapolation

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