2.70 Data generated by software. The following 20 observations on y and x were generated by a computer program. In GENDATA y y 34.38 22.06 27.07 17.75 30.38 19.88 31.17 19.96 26.13 18.83 27.74 17.87 31.85 22.09 30.01 20.20 26.77 17.19 29.61 20.65 29.00 20.72 31.78 20.32 28.92 18.10 32.93 21.37 26.30 18.01 30.29 17.31 29.49 18.69 28.57 23.50 31.36 18.05 29.80 22.02 (a) Make a scatterplot and describe the relationship between y and x. (b) Find the equation of the least-squares regression line and add the line to your plot. (c) Plot the residuals versus x. (d) What percent of the variability in y is explained by x? (e) Summarize your analysis of these data in a short paragraph.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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2.70 Data generated by software. The following 20
observations on y and x were generated by a computer
program.
In GENDATA
y
y
34.38
22.06
27.07
17.75
30.38
19.88
31.17
19.96
26.13
18.83
27.74
17.87
31.85
22.09
30.01
20.20
26.77
17.19
29.61
20.65
29.00
20.72
31.78
20.32
28.92
18.10
32.93
21.37
26.30
18.01
30.29
17.31
29.49
18.69
28.57
23.50
31.36
18.05
29.80
22.02
(a) Make a scatterplot and describe the relationship
between y and x.
(b) Find the equation of the least-squares regression line
and add the line to your plot.
(c) Plot the residuals versus x.
(d) What percent of the variability in y is explained by x?
(e) Summarize your analysis of these data in a short
paragraph.
Transcribed Image Text:2.70 Data generated by software. The following 20 observations on y and x were generated by a computer program. In GENDATA y y 34.38 22.06 27.07 17.75 30.38 19.88 31.17 19.96 26.13 18.83 27.74 17.87 31.85 22.09 30.01 20.20 26.77 17.19 29.61 20.65 29.00 20.72 31.78 20.32 28.92 18.10 32.93 21.37 26.30 18.01 30.29 17.31 29.49 18.69 28.57 23.50 31.36 18.05 29.80 22.02 (a) Make a scatterplot and describe the relationship between y and x. (b) Find the equation of the least-squares regression line and add the line to your plot. (c) Plot the residuals versus x. (d) What percent of the variability in y is explained by x? (e) Summarize your analysis of these data in a short paragraph.
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