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=-8.48 +1.04.x. 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 y 224.4 221.8 245.6 254.4 265.9 256.8 274.9 291.7 304.1 305.0 Send data to Excel (a) Answer the following. Calculations 1948.3396 133.1716 83.5396 663.5776 1525.6836 Column sum: 4354.3120 1684.6099 360.8480 4.4775 131.6986 1750.9203 Column sum: 3932.5543 9.5852 55.5919 126.6975 204.0327 7.7507 Column sum: 403.6580 320- 300- 280- 260- 240- 220- Figure 1 P error sum of squares regression sum of squares total sum of squares • 220 240 260 280 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) ▼ 300 320 G
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=-8.48 +1.04.x. 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 y 224.4 221.8 245.6 254.4 265.9 256.8 274.9 291.7 304.1 305.0 Send data to Excel (a) Answer the following. Calculations 1948.3396 133.1716 83.5396 663.5776 1525.6836 Column sum: 4354.3120 1684.6099 360.8480 4.4775 131.6986 1750.9203 Column sum: 3932.5543 9.5852 55.5919 126.6975 204.0327 7.7507 Column sum: 403.6580 320- 300- 280- 260- 240- 220- Figure 1 P error sum of squares regression sum of squares total sum of squares • 220 240 260 280 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) ▼ 300 320 G
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
(a)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), (CHOICES: (1) error sum of squares, (2) regression sum of squares, (3) total sum of squares,) which for these data is (Choose one), (CHOICES: (1) 4354.3120, (2) 403.6580, (3) 3932.5543)
B) 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) (CHOICES (1) error sum of squares, (2) regression sum of squares, (3) total sum of squares) which for these data is ▼(Choose one). (CHOOSE ONE: (1) 4354.3120, (2) 403.6580, (3) 3932.5543
C) The value r2 is the proportion of the total variation in the sample y-values that is explained by the estimated linear relationship between x and y. For these data, the value of r2 is _______ (Round your answer to at least 2 decimal places.)
Transcribed Image Text:291.7
(b)
304.1 305.0
Answer the following.
(c)
Send data to Excel
663.5776
1525.6836
Column sum:
4354.3120
131.6986
1750.9203
Column sum:
3932.5543
204.0327
7.7507
Column sum:
403.6580
220
220 240 260 280
(a) 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)
Figure 1
300
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)
2
The value is the proportion of the total variation in the sample y-values that is explained by the estimated linear
relationship between x and y. For these data, the value of ² is. (Round your answer to at least 2 decimal
places.)
320
Ś
Transcribed Image Text: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=-8.48 +1.04.x.
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
y
224.4 221.8
245.6 254.4
265.9 256.8
274.9 291.7
304.1 305.0
Send data to Excel
Answer the following.
Calculations
(y-y)?
1948.3396
133.1716
83.5396
663.5776
1525.6836
Column sum:
4354.3120
2
1684.6099
360.8480
4.4775
131.6986
1750.9203
Column sum:
3932.5543
2
(y-y
9.5852
55.5919
126.6975
204.0327
7.7507
Column sum:
403.6580
320-
300+
280.
260.
240.
220.
+ +
220 240 260 280 300 320
Figure 1
(a) 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)
error sum of squares
regression sum of squares
total sum of squares
I
X
S
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