Given the bivariate data: 1 2 3 5 y 8 5 4 1 (a) Draw a scatter diagram for the data. 10 Graph Layers « Clear All 9 80 Point 1 6 • Point 2 5 Fill 3 • Point 3 2 1. > Point 4 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 9 10 -1 • Point 5 -2 No Solution -3 -4 Point 6 -5 -6 -7 -8 --9 -10 O Help WebAssign. Graphing Tool O Submission Data ( b) Find n, Σx, Σγ, Σx2, (Σχ)2 , and Σχy. %3D Σχ = Ey %3D Σχ2 %3D (Ex)? %3D Σχy %3D (c) Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. (Round your answers to two decimal places.) а b =
Given the bivariate data: 1 2 3 5 y 8 5 4 1 (a) Draw a scatter diagram for the data. 10 Graph Layers « Clear All 9 80 Point 1 6 • Point 2 5 Fill 3 • Point 3 2 1. > Point 4 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 9 10 -1 • Point 5 -2 No Solution -3 -4 Point 6 -5 -6 -7 -8 --9 -10 O Help WebAssign. Graphing Tool O Submission Data ( b) Find n, Σx, Σγ, Σx2, (Σχ)2 , and Σχy. %3D Σχ = Ey %3D Σχ2 %3D (Ex)? %3D Σχy %3D (c) Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. (Round your answers to two decimal places.) а b =
MATLAB: An Introduction with Applications
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Question
![Given the bivariate data:
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 5 & 6 \\
\hline
y & 8 & 5 & 4 & 2 & 1 \\
\hline
\end{array}
\]
(a) Draw a scatter diagram for the data.
The scatter diagram is displayed on a graph with x and y axes ranging from -10 to 10. The points plotted are as follows:
- Point 1: (1, 8)
- Point 2: (2, 5)
- Point 3: (3, 4)
- Point 4: (5, 2)
- Point 5: (6, 1)
These points form a roughly linear decreasing pattern across the graph.
(b) Find the following statistical values:
- \( n = \)
- \( \Sigma x = \)
- \( \Sigma y = \)
- \( \Sigma x^2 = \)
- \( (\Sigma x)^2 = \)
- \( \Sigma xy = \)
(c) Find \( a \), the slope of the least-squares line, and \( b \), the y-intercept of the least-squares line. (Round your answers to two decimal places.)
- \( a = \)
- \( b = \)
This exercise involves calculating statistical measures from a given dataset and plotting them to understand the relationship between variables visually. The goal is to find the best-fitting line using the least-squares method, which helps in predictive analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa23b3fa-eba4-4be4-aa69-33cd06cf63e5%2F2f7bc38c-b28e-41ff-9a2f-49a2a7648133%2Fnlaf0c6_processed.png&w=3840&q=75)
Transcribed Image Text:Given the bivariate data:
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 5 & 6 \\
\hline
y & 8 & 5 & 4 & 2 & 1 \\
\hline
\end{array}
\]
(a) Draw a scatter diagram for the data.
The scatter diagram is displayed on a graph with x and y axes ranging from -10 to 10. The points plotted are as follows:
- Point 1: (1, 8)
- Point 2: (2, 5)
- Point 3: (3, 4)
- Point 4: (5, 2)
- Point 5: (6, 1)
These points form a roughly linear decreasing pattern across the graph.
(b) Find the following statistical values:
- \( n = \)
- \( \Sigma x = \)
- \( \Sigma y = \)
- \( \Sigma x^2 = \)
- \( (\Sigma x)^2 = \)
- \( \Sigma xy = \)
(c) Find \( a \), the slope of the least-squares line, and \( b \), the y-intercept of the least-squares line. (Round your answers to two decimal places.)
- \( a = \)
- \( b = \)
This exercise involves calculating statistical measures from a given dataset and plotting them to understand the relationship between variables visually. The goal is to find the best-fitting line using the least-squares method, which helps in predictive analysis.
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