Problem Given the data below, develop a linear regression model between compressive strength and density. Calculate the regression coefficients and correlation coefficient. Provide an explanation for the correlation coefficient. Compressive Strength Compressive Strength Density Density 3040 29.2 3840 30.7 2470 24.7 3800 32.7 3610 32.3 4600 32.6 3480 31.3 1900 22.1 3810 31.5 2530 25.3 2330 24.5 2920 30.8 1800 19.9 4990 38.9 3110 27.3 1670 22.1 3160 27.1 3310 29.2 2310 24.0 3450 30.1 4360 33.8 3600 31.4 1880 21.5 2850 26.7 3670 32.2 1590 22.1 1740 22.5 3770 30.3 2250 27.5 3850 32.0 2650 25.6 2480 23.2 4970 34.5 3570 30.3 2620 26.2 2620 29.9 2900 26.7 1890 20.8 1670 21.1 3030 33.2 2540 24.1 3030 28.2
Problem Given the data below, develop a linear regression model between compressive strength and density. Calculate the regression coefficients and correlation coefficient. Provide an explanation for the correlation coefficient. Compressive Strength Compressive Strength Density Density 3040 29.2 3840 30.7 2470 24.7 3800 32.7 3610 32.3 4600 32.6 3480 31.3 1900 22.1 3810 31.5 2530 25.3 2330 24.5 2920 30.8 1800 19.9 4990 38.9 3110 27.3 1670 22.1 3160 27.1 3310 29.2 2310 24.0 3450 30.1 4360 33.8 3600 31.4 1880 21.5 2850 26.7 3670 32.2 1590 22.1 1740 22.5 3770 30.3 2250 27.5 3850 32.0 2650 25.6 2480 23.2 4970 34.5 3570 30.3 2620 26.2 2620 29.9 2900 26.7 1890 20.8 1670 21.1 3030 33.2 2540 24.1 3030 28.2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4PPS
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Transcribed Image Text:Problem
Given the data below, develop a linear regression model between
compressive strength and density. Calculate the regression
coefficients and correlation coefficient. Provide an explanation for
the correlation coefficient.
Compressive
Strength
Compressive
Strength
Density
Density
3040
29.2
3840
30.7
2470
24.7
3800
32.7
3610
32.3
4600
32.6
3480
31.3
1900
22.1
3810
31.5
2530
25.3
2330
24.5
2920
30.8
1800
19.9
4990
38.9
3110
27.3
1670
22.1
3160
27.1
3310
29.2
2310
24.0
3450
30.1
4360
33.8
3600
31.4
1880
21.5
2850
26.7
3670
32.2
1590
22.1
1740
22.5
3770
30.3
2250
27.5
3850
32.0
2650
25.6
2480
23.2
4970
34.5
3570
30.3
2620
26.2
2620
29.9
2900
26.7
1890
20.8
1670
21.1
3030
33.2
2540
24.1
3030
28.2
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