Question

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x |
11.6 | 8 | 6.7 | 3.7 | 2.6 | 2.6 | 2.3 | 0.5 |
---|---|---|---|---|---|---|---|---|

y |
14.1 | 10.6 | 9.7 | 7 | 6.4 | 6.1 | 6 | 4.5 |

x = thousands of automatic weapons

y = murders per 100,000 residents

This data can be modeled by the equation y=0.86x+3.98. Use this
equation to answer the following;

Special Note: I suggest you verify this equation by performing
linear regression on your calculator.

A) How many murders per 100,000 residents can be expected in a
state with 2.3 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a
state with 8.5 thousand automatic weapons?

Answer = Round to 3 decimal places.

Answer #1

Sum of *X* = 38

Sum of *Y* = 64.4

Mean *X* = 4.75

Mean *Y* = 8.05

Sum of squares (*SS _{X}*) = 95.7

Sum of products (

Regression Equation = ŷ =

ŷ = 0.86

A. For x=2.3, ŷ = (0.86**2.3)* + 3.98= 5.958

B. For x=8.5, ŷ = (0.86**8.5)* + 3.98=11.290

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern
states.
xx
11.5
8.4
6.9
3.9
2.9
2.8
2.6
0.9
yy
14.1
10.9
10.1
7.5
6.4
6.6
6.1
5
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the linear equation
ˆy=0.86x+4.07y^=0.86x+4.07
How many murders per 100,000 residents can be expected in a
state with 9.2 thousand automatic weapons? Round to 3 decimal
places....

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
xx
11.5
8.4
7
3.9
2.7
2.6
2.3
0.7
yy
14.1
11.4
10.1
7.5
6.4
6
6.1
4.5
xx = thousands of automatic weapons
yy = murders per 100,000 residents
The equation y=3.93+0.89xy=3.93+0.89x can model this data. Use this
equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
A) How many...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states. x 11.3
8.2 6.7 3.6 2.5 2.6 2.2 0.3 y 13.7 10.8 9.8 6.8 5.9 5.9 6.1 4.2 x =
thousands of automatic weapons y = murders per 100,000 residents
Determine the regression equation in y = ax + b form and write it
below. (Round to 2 decimal places) Incorrect A) How many murders
per 100,000 residents can be expected in...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
x
11.3
8.4
7.1
3.6
2.5
2.7
2.4
0.4
y
13.4
10.9
9.9
7.1
5.9
6
6
4.2
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.84x+3.88. Use this
equation to answer the following;
A) How many murders per 100,000 residents can be expected in a
state with 3.9 thousand...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
xx
11.7
8.4
6.6
3.3
2.9
2.5
2.5
0.3
yy
13.9
11.5
9.5
6.8
6.2
6
6.1
4.1
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.87x+3.84.y=0.87x+3.84.
Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
Use...

19
A regression was run to determine if there is a relationship
between hours of TV watched per day (x) and number of situps a
person can do (y).
The results of the regression were:
y=ax+b
a=-1.082
b=36.749
r2=0.6889
r=-0.83
Use this to predict the number of situps a person who watches 7
hours of TV can do (to one decimal place)
18
The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern...

1. A regression analysis was performed to determine if there is
a relationship between hours of TV watched per day (xx) and number
of sit ups a person can do (yy). The results of the regression
were:
y=ax+b
a=-1.072
b=31.456
r2=0.859329
r=-0.927
Use this to predict the number of sit ups a person who watches 8
hours of TV can do, and please round your answer to a whole
number.
2.
The table below shows the number of state-registered automatic...

The table below shows the murder rate per 100,000 residents for
a large American city over a twelve-year period.
Year
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
Rate
8.8
7.1
7.2
6.8
6.4
7.1
5.8
6.1
5.4
6.2
6.1
4.9
Enter the coefficients of the regression line for
this data, rounding each to two decimal places:
Slope:
Intercept:
Use your regression line (with rounded
coefficients) to estimate this city’s murder rate in 2012. Round
your...

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