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Linear Regression & Inequalities

Total questions: 18

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

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

2.
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
3.

The annual profits for a company are given, 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. then, use the equation to estimate the year in which

the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

4.

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

a)

974

b)

25,101

c)

940

d)

952

5.
Which scatter plot shows no relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
6.

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
7.

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

8.

Write the equation for the linear regression shown.

a)

y=ax+by=ax+b

b)

y=0.6x+0.1y=0.6x+0.1

c)

y=0.72x+ry=0.72x+r

d)

y=0.1x+0.6y=0.1x+0.6

9.

Write the equation for the linear regression shown.

a)

y=−5.11x+3.23y=-5.11x+3.23

b)

r=0.8r=0.8

c)

y=3.23x − 5.11y=3.23x\ -\ 5.11  \

d)

y=0.64x+0.8y=0.64x+0.8

10.
If Joe worked 30 hours, how much is he expected to earn?
a)
$600
b)
$200
c)
$1000
d)
$800
11.

Which with is the line of best fit?

a)

A) Black

b)

B) Orange

c)

C) Red

d)

D) Blue

12.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
13.

Which graph matches the inequality?

a)
A
b)
B
c)
C
d)
D
14.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

15.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

16.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

17.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
18.

Is the point (1, 2) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.