Question

The age x of a pony (in months) and the weight y (in kg) is given in the following pairs (x,y):

(3,60), (6,95), (12,140), (18,170), (24,185)

(that is, at 3 months it weighed 60 kg, at 6 months it weighed 95 kg, etc.)

a) Find the value of r for this data.

b) Is there strong, moderate or weak correlation? Is this positive or negative?

c) Find the least squares line and use it to predict the weight of the pony at age x=15 months.

Question 1 options:

Answer #1

a)

The formula of r is

n = 5

x | y | xy | x^2 | y^2 | |

3 | 60 | 180 | 9 | 3600 | |

6 | 95 | 570 | 36 | 9025 | |

12 | 140 | 1680 | 144 | 19600 | |

18 | 170 | 3060 | 324 | 28900 | |

24 | 185 | 4440 | 576 | 34225 | |

Total | 63 | 650 | 9930 | 1089 | 95350 |

b) There is a strong correlation.

There is a positive correlation.

c) We have to find the least squares line.

The line is y = a + b*x

Here a is intercept and b is the slope.

= 12.6

= 130

x | y | xy | x^2 | |

3 | 60 | 180 | 9 | |

6 | 95 | 570 | 36 | |

12 | 140 | 1680 | 144 | |

18 | 170 | 3060 | 324 | |

24 | 185 | 4440 | 576 | |

Total | 63 | 650 | 9930 | 1089 |

y = 55.7317 + 5.8943*x

x = 15

y = 55.7317 + 5.8943*15 = 144.1463

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x
3
6
12
19
24
y
60
95
140
168
173
(b) Would you say the correlation is low, moderate, or
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low
moderate
strong
(c) Would you say the correlation is positive or negative?
positive
negative
(c) Use a calculator to verify that
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you think best fits the data. (Submit a file with a maximum size of
1 MB.)
(b) Would you say the correlation is low, moderate, or...

How much should a healthy Shetland pony weigh? Let x be
the age of the pony (in months), and let y be the average
weight of the pony (in kilograms).
x
3
6
12
15
25
y
60
95
140
172
175
(a)
Make a scatter diagram of the data and visualize the line you
think best fits the data. (Submit a file with a maximum size of 1
MB.)
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(b)
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of the pony (in months), and let y be the average weight of the
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x
3
6
12
14
21
y
60
95
140
152
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places.)

How much should a healthy Shetland pony weigh? Let x be
the age of the pony (in months), and let y be the average
weight of the pony (in kilograms).
x
3
6
12
16
24
y
60
95
140
150
189
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47
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y
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