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Unit 5: Linear Regression

Total questions: 16

Worksheet time: 34mins

Name
Class
Date
1.
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. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
2.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

3.
What letter do we use to represent correlation coefficient?
a)
c
b)
r
c)
p
d)
h
4.
What is a best-fit line used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
5.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4403

b)

$4673

c)

$8483

d)

$6443

6.

Mr. Fisher is a really nice person (sometimes). He wants to buy his roommates ice cream. The regression equation that goes along with this situation is y2.95x+4.95y\sim2.95x+4.95  where is the number of roommates who want ice cream and y is the total cost. What does the slope represent in this context?

a)

m is 2.95

b)

Mr. Fisher has to spend $4.95

c)

For every 1 roomate who wants ice cream, the cost goes up $2.95.

d)

For every 1 roommate who wants ice cream, the cost goes up $4.95

7.

The equation y1.40t +1.90y\sim1.40t\ +1.90   represents the cost of a hamburger with toppings. How much would a hamburger with 4 toppings cost?

a)

$7.60

b)

$5.60

c)

$7.50

d)

$4

8.

Above is a table that represents the distance in miles vs. the cost of a plane ticket. What does the slope mean in the regression equation y=0.136x+74y=0.136x+74  

a)

A plane ride costs $0.136 (13 cents)

b)

For every 1 mile flown, the cost goes up  $ 0.136 dollars (13 cents)

c)

For every 1 mile flown, the cost goes up $74

9.

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

a)

There is a strong positive correlation between studying and grades.

b)

There is a strong negative correlation between studying and grades.

c)

There is a weak positive correlation between studying and grades.

d)

There is a weak negative correlation between studying and grades.

10.

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. What does the slope represent?

a)

The number of bacteria increase by 20.8 per hour

b)

The number of bacteria increase by 20.8 per minute

c)

The number of bacteria decrease by 35 per hour

d)

The number of bacteria decrease by 35 per minute

11.

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. Use the equation to predict the number of bacteria in 24 hours.

a)

35

b)

277

c)

464

d)

819

12.

Which correlation coefficient is most accurate for this data set?

a)

r = - 0.3

b)

r = 0.99

c)

r = -0.99

13.

What does a correlation coefficient of r=−0.01

imply about the graph of a data set? Select all that apply.

a)

A linear model is not a good fit for the data.

b)

A linear model is a good fit for the data.

14.
A perfect negative correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
15.
A perfect positive correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
16.
Make a prediction for a resting heart rate after 6 hours of exercise a week.
a)
6
b)
50
c)
55
d)
59