an you tell how old a lobster is by its size? This question was investigated by the authors of a paper that appeared in the Biological Bulletin (August 2007). Researchers measured carapace (the exterior shell) length of 27 laboratory-raised lobsters of known age. The data on x = carapace length (in mm) and y = age (in years) in the following table were read from a graph that appeared in the paper. Age Carapace Length Age Carapace Length Age Carapace Length 1.00 63.32 1.82 118.25 2.93 147.82 1.00 67.50 2.18 108.24 2.92 140.17 1.00 69.58 2.18 109.64 2.92 135.73 1.00 74.41 2.17 117.99 2.92 121.81 1.42 80.32 2.17 123.81 3.17 141.30 1.42 81.80 2.33 138.47 3.41 151.73 1.42 84.59 2.50 133.95 3.42 145.78 1.82 105.07 2.51 124.25 3.75 147.21 1.82 106.16 2.50 123.51 4.08 152.04 (a) Construct a scatterplot of these data, and then find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points seem to become more scattered from left to right and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1.4 and 3. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. Moving from left to right, the first 18 points are plotted in a downward, diagonal direction starting from the upper left of the diagram. The next 9 points continue in a slightly less steep downward, diagonal direction. The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the diagram. The points are plotted close together with little scatter and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 0.8 and 3.8. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. Moving from left to right, the first 9 points are plotted in an upward, diagonal direction starting from the lower left of the diagram. The next 18 points continue in a slightly steeper upward, diagonal direction. The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2. Find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length. ŷ = + x Describe how age varies with carapace length. There is a ---Select--- positive negative ---Select--- linear nonlinear association between age and carapace length.

an you tell how old a lobster is by its size? This question was investigated by the authors of a paper that appeared in the Biological Bulletin (August 2007). Researchers measured carapace (the exterior shell) length of 27 laboratory-raised lobsters of known age. The data on x = carapace length (in mm) and y = age (in years) in the following table were read from a graph that appeared in the paper. Age Carapace Length Age Carapace Length Age Carapace Length 1.00 63.32 1.82 118.25 2.93 147.82 1.00 67.50 2.18 108.24 2.92 140.17 1.00 69.58 2.18 109.64 2.92 135.73 1.00 74.41 2.17 117.99 2.92 121.81 1.42 80.32 2.17 123.81 3.17 141.30 1.42 81.80 2.33 138.47 3.41 151.73 1.42 84.59 2.50 133.95 3.42 145.78 1.82 105.07 2.51 124.25 3.75 147.21 1.82 106.16 2.50 123.51 4.08 152.04 (a) Construct a scatterplot of these data, and then find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points seem to become more scattered from left to right and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1.4 and 3. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. Moving from left to right, the first 18 points are plotted in a downward, diagonal direction starting from the upper left of the diagram. The next 9 points continue in a slightly less steep downward, diagonal direction. The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the diagram. The points are plotted close together with little scatter and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 0.8 and 3.8. A scatterplot has approximately 27 points. The horizontal axis is labeled "x" and ranges from approximately 50 to 175. The vertical axis is labeled "y" and ranges from 0 to 5. Moving from left to right, the first 9 points are plotted in an upward, diagonal direction starting from the lower left of the diagram. The next 18 points continue in a slightly steeper upward, diagonal direction. The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2. Find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length. ŷ = + x Describe how age varies with carapace length. There is a ---Select--- positive negative ---Select--- linear nonlinear association between age and carapace length.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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an you tell how old a lobster is by its size? This question was investigated by the authors of a paper that appeared in the Biological Bulletin (August 2007). Researchers measured carapace (the exterior shell) length of 27 laboratory-raised lobsters of known age. The data on x = carapace length (in mm) and y = age (in years) in the following table were read from a graph that appeared in the paper.

Age	Carapace Length	Age	Carapace Length	Age	Carapace Length
1.00	63.32	1.82	118.25	2.93	147.82
1.00	67.50	2.18	108.24	2.92	140.17
1.00	69.58	2.18	109.64	2.92	135.73
1.00	74.41	2.17	117.99	2.92	121.81
1.42	80.32	2.17	123.81	3.17	141.30
1.42	81.80	2.33	138.47	3.41	151.73
1.42	84.59	2.50	133.95	3.42	145.78
1.82	105.07	2.51	124.25	3.75	147.21
1.82	106.16	2.50	123.51	4.08	152.04

(a)

Construct a scatterplot of these data, and then find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length.

A scatterplot has approximately 27 points.

The horizontal axis is labeled "x" and ranges from approximately 50 to 175.
The vertical axis is labeled "y" and ranges from 0 to 5.
The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram.
The points seem to become more scattered from left to right and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1.4 and 3.

A scatterplot has approximately 27 points.

The horizontal axis is labeled "x" and ranges from approximately 50 to 175.
The vertical axis is labeled "y" and ranges from 0 to 5.
Moving from left to right, the first 18 points are plotted in a downward, diagonal direction starting from the upper left of the diagram. The next 9 points continue in a slightly less steep downward, diagonal direction.
The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2.

A scatterplot has approximately 27 points.

The horizontal axis is labeled "x" and ranges from approximately 50 to 175.
The vertical axis is labeled "y" and ranges from 0 to 5.
The points are plotted from left to right in an upward, diagonal direction starting from the lower left of the diagram.
The points are plotted close together with little scatter and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 0.8 and 3.8.

A scatterplot has approximately 27 points.

The horizontal axis is labeled "x" and ranges from approximately 50 to 175.
The vertical axis is labeled "y" and ranges from 0 to 5.
Moving from left to right, the first 9 points are plotted in an upward, diagonal direction starting from the lower left of the diagram. The next 18 points continue in a slightly steeper upward, diagonal direction.
The points are somewhat scattered and are between the approximate horizontal axis values of 60 and 155 and between the approximate vertical axis values of 1 and 4.2.

Find the equation of the least squares regression line that describes the relationship between y = age and x = carapace length.

ŷ = +

Describe how age varies with carapace length.

There is a ---Select--- positive negative ---Select--- linear nonlinear association between age and carapace length.

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