a) by the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680c) minimizes the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680 Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "Sample data." These data are plotted in the scatter plot in Figure1, which also displays the least-squares regression line for the data. The equation for this line is y = 134.83 - 1.04x.In the "Calculations" table are calculations involving the observed y-values, the mean y of these values, and the values y predicted from the regressionequation.Sample dataX53.7y76.061.066.570.875.852.9Send data to Excel75.264.463.9Answer the following.Calculations(v-)²90.630476.03844.32646.6564184.4164Column sum:362.0680(v-)²8.892314.51611.61297.30089.5976Column sum:41.9197(-)²156.300024.10810.656127.8995109.8723Column sum:318.836130-75+70-55+so+55-50-Figure 1(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is givenby the (Choose one)▼, which for these data is (Choose one) ▼(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linearrelationship between x and y is. (Round your answer to at least 2 decimal places.)Ś?圖图 Answer the following.(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is givenby the (Choose one)which for these data is (Choose one)▼(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linearrelationship between x and y is. (Round your answer to at least 2 decimal places.)The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "bestfits" is used because the line has an equation that minimizes the (Choose one)which for thesedata is (Choose one)X

The regression is used to estimate the linear relationship between two variables. And the same…

(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear relationship between x and y is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) which for these data is (Choose one) ▼

(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given by the (Choose one) which for these data is (Choose one) ▼ (b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear relationship between x and y is . (Round your answer to at least 2 decimal places.) (c) The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best fits" is used because the line has an equation that minimizes the (Choose one) which for these data is (Choose one) ▼

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a) by the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680 c) minimizes the…regression sum of squares, error sum of squares, or total sum of squares…which for these data is…318.8361, 41.9197, or 362.0680

Bivariate data obtained for the paired variables x and y are shown below, in the table labeled "Sample data." These data are plotted in the scatter plot in Figure
1, which also displays the least-squares regression line for the data. The equation for this line is y = 134.83 - 1.04x.
In the "Calculations" table are calculations involving the observed y-values, the mean y of these values, and the values y predicted from the regression
equation.
Sample data
X
53.7
y
76.0
61.0
66.5
70.8
75.8
52.9
Send data to Excel
75.2
64.4
63.9
Answer the following.
Calculations
(v-)²
90.6304
76.0384
4.3264
6.6564
184.4164
Column sum:
362.0680
(v-)²
8.8923
14.5161
1.6129
7.3008
9.5976
Column sum:
41.9197
(-)²
156.3000
24.1081
0.6561
27.8995
109.8723
Column sum:
318.8361
30-
75+
70-
55+
so+
55-
50-
Figure 1
(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given
by the (Choose one)
▼, which for these data is (Choose one) ▼
(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear
relationship between x and y is. (Round your answer to at least 2 decimal places.)
Ś
?圖图

Answer the following.
(a) The variation in the sample y-values that is explained by the estimated linear relationship between x and y is given
by the (Choose one)
which for these data is (Choose one)
▼
(b) The proportion of the total variation in the sample y-values that can be explained by the estimated linear
relationship between x and y is. (Round your answer to at least 2 decimal places.)
The least-squares regression line given above is said to be a line that "best fits" the sample data. The term "best
fits" is used because the line has an equation that minimizes the (Choose one)
which for these
data is (Choose one)
X

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