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Applying Linear Regression

Total questions: 20

Worksheet time: 2hrs 3mins

Name
Class
Date
1.
You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?
a)
As x increases, y decreases
b)
As x increases, y increases
c)
As x decreases, y decreases
2.
The points in the scatterplot represent paired observations (x, y) where x is an individual’s weight and y is the time (in seconds) it takes for walking on a treadmill to raise the individual’s pulse rate to 140 beats per minute.  The open circles correspond to females and the dark squares to males.
a)
There is a positive correlation r between gender and weight, since men tend to weigh more than women.
b)
There is a negative correlation r between weight and time for both males and females.
c)
In general, males tend to take less time to have their pulse rate raised to 140 bpm while walking on the treadmill.
3.
What type of correlation describes the following sentence:
The temperature outside and the number of hot chocolate sold at a football game.
a)
postive
b)
negative 
c)
no
4.
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit? 
a)
The more books students read, the lower their English grade.
b)
The more books students read, the higher their English grade.
c)
The fewer books students read, the higher their English grade. 
d)
No relationship exists between the number of books students read and their English grades. 
5.
If Joe worked 30 hours, how much is he expected to earn?
a)
$600
b)
$200
c)
$1000
d)
$800
6.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
7.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
8.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

9.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
10.
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
11.

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

12.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

13.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

14.

The table shows the attendance at a flag football game for the first 8 games of the season. What is the correlation of the data?

a)

Strong Positive

b)

Strong negative

c)

Weak Postive

d)

Weak Negative

e)

No correlation

15.

Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?

a)

W = 3.6 + 8.9

b)

W = 3.6a + 8.9

c)

a = 8.9W + 3.6

d)

W = 8.9a + 3.6

16.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753

17.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

a)

974

b)

25,101

c)

940

d)

952

18.
Which of the following is the WEAKEST negative correlation?
a)
0
b)
- 0.34
c)
- 0.92
d)
- 0.57
19.
Find the equation of the Line of Best Fit from the data set. 
a)
y = 0.892x - 1.82
b)
y = 1.82x - 5.02
c)
y = 0.796x + 5.02
d)
y = 1.82x + 5.02
20.

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given

y = -0.09x + 10.45, predict the hours of sleep for someone that is 68 years old.

a)

16.57 hours

b)

-4.33 hours

c)

-16.57 hours

d)

4.33 hours

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