Question

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 r^{2}=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
weapons and the murder rate for several Northwestern
states.

xx |
11.5 | 8.4 | 6.6 | 3.4 | 2.6 | 2.2 | 2.7 | 0.9 |
---|---|---|---|---|---|---|---|---|

yy |
13.9 | 11.2 | 9.6 | 6.9 | 5.9 | 6.1 | 6.5 | 5.1 |

xx = thousands of automatic weapons

yy = murders per 100,000 residents

Determine the regression equation in y = ax + b form and write it
below. (Round to 2 decimal places)

A) How many murders per 100,000 residents can be expected in a
state with 5.7 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a
state with 7.9 thousand automatic weapons?

Answer = Round to 3 decimal places.

Answer #1

1)

y = ax + b

y = -1.072x + 31.456

when x = 8

y = -1.072 * 8 + 31.456

y = 23

2)

X | Y | XY | X^2 | Y^2 |

11.5 | 13.9 | 159.85 | 132.25 | 193.21 |

8.4 | 11.2 | 94.08 | 70.56 | 125.44 |

6.6 | 9.6 | 63.36 | 43.56 | 92.16 |

3.4 | 6.9 | 23.46 | 11.56 | 47.61 |

2.6 | 5.9 | 15.34 | 6.76 | 34.81 |

2.2 | 6.1 | 13.42 | 4.84 | 37.21 |

2.7 | 6.5 | 17.55 | 7.29 | 42.25 |

0.9 | 5.1 | 4.59 | 0.81 | 26.01 |

n | 8 |

sum(XY) | 391.65 |

sum(X) | 38.30 |

sum(Y) | 65.20 |

sum(X^2) | 277.63 |

sum(Y^2) | 598.70 |

a | 0.84 |

b | 4.11 |

ycap = ax + b

ycap = 0.84x + 4.11

a)

x = 5.7

ycap = 0.84 * 5.7 + 4.11

ycap = 8.898

b)

x = 7.9

ycap = 0.84 * 7.9 + 4.11

ycap = 10.746

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...

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.
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...

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
11.6
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)...

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...

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=-1.276
b=24.302
r2=0.779689
r=-0.883
Use this to predict the number of situps a person who watches 3
hours of TV can do (to one decimal place)

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=-0.623
b=37.26
r2=0.386884
r=-0.622
Use this to predict the number of situps a person who watches 11.5
hours of TV can do (to one decimal place)

1. You want to obtain a sample to estimate a population
proportion. At this point in time, you have no reasonable estimate
for the population proportion. Your would like to be 99.9%
confident that you estimate is within 4% of the true population
proportion. How large of a sample size is required? n =
2. 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...

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