Given the bivariate data: 4 5 6. 7 y 2 3 3 5 5 a. Draw a scatter diagram for the data. b. Find n, Σx, Σy, Σ , (Σx), and Σr. C. Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the bivariate data:
3
7
y
2
3
3
5
5
a. Draw a scatter diagram for the data.
b. Find n, Σx, Σy, Σ, (Σx) , and Σxy.
C. Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line.
d. Draw the least-squares line on the scatter diagram from part a.
e. Is the point (I, y) on the least-squares line?
f. Use the equation of the least-squares line to predict the value of y when x = 7.3.
g. Find, to the nearest hundredth, the linear correlation coefficient.
Transcribed Image Text:Given the bivariate data: 3 7 y 2 3 3 5 5 a. Draw a scatter diagram for the data. b. Find n, Σx, Σy, Σ, (Σx) , and Σxy. C. Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. d. Draw the least-squares line on the scatter diagram from part a. e. Is the point (I, y) on the least-squares line? f. Use the equation of the least-squares line to predict the value of y when x = 7.3. g. Find, to the nearest hundredth, the linear correlation coefficient.
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