(By-Hand) A dietetics student wants to look at the relationship between calcium intake (g/week) and knowledge score about calcium in sports science students (knowledge score out of 50). Further she wants to know if knowledge about calcium can be used to predict calcium intake of the students. The table below shows the data she collected. Knowledge Score 38 25 48 28 22 41 18 26 30 43 Total: 319 Calcium Intake 9.40 7.33 9.85 7.63 5.83 8.10 7.98 7.74 8.05 10.85 82.76 Part b: Compute Sxx Syy, and Sxy for the above data. Show your work. [Hint: Use these values for the following computations.] xy 357.20 183.25 472.80 213.64 128.26 332.10 143.64 201.24 241.50 466.55 2740.2 Part a: Construct by hand a well-labeled scatterplot of the above data. Do not use software to create the plot for you. x² 1444 625 2304 784 484 1681 324 676 900 1849 11071 Part c: Compute and interpret the correlation coefficient, r, for the above data. Show your work. y² 88.3600 53.7289 97.0225 58.2169 33.9889 65.6100 63.6804 59.9076 64.8025 117.7225 703.0402

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2BGP
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(By-Hand) A dietetics student wants to look at the relationship between calcium intake (g/week) and knowledge score about calcium in sports science students (knowledge
score out of 50). Further she wants to know if knowledge about calcium can be used to predict calcium intake of the students. The table below shows the data she collected.
Knowledge Score
38
25
48
28
22
41
18
26
30
43
319
Total:
Calcium Intake
9.40
7.33
9.85
7.63
5.83
8.10
7.98
7.74
8.05
10.85
82.76
Part b:
Compute Sxx, Syy, and Sxy for the above data. Show your work.
[Hint: Use these values for the following computations.]
xy
357.20
183.25
472.80
213.64
128.26
332.10
143.64
201.24
241.50
466.55
2740.2
Part a:
Construct by hand a well-labeled scatterplot of the above data. Do not use software to create the plot for you.
x²
1444
625
2304
784
484
1681
324
676
900
1849
11071
Part c:
Compute and interpret the correlation coefficient, r, for the above data. Show your work.
y²
88.3600
53.7289
97.0225
58.2169
33.9889
65.6100
63.6804
59.9076
64.8025
117.7225
703.0402
Transcribed Image Text:(By-Hand) A dietetics student wants to look at the relationship between calcium intake (g/week) and knowledge score about calcium in sports science students (knowledge score out of 50). Further she wants to know if knowledge about calcium can be used to predict calcium intake of the students. The table below shows the data she collected. Knowledge Score 38 25 48 28 22 41 18 26 30 43 319 Total: Calcium Intake 9.40 7.33 9.85 7.63 5.83 8.10 7.98 7.74 8.05 10.85 82.76 Part b: Compute Sxx, Syy, and Sxy for the above data. Show your work. [Hint: Use these values for the following computations.] xy 357.20 183.25 472.80 213.64 128.26 332.10 143.64 201.24 241.50 466.55 2740.2 Part a: Construct by hand a well-labeled scatterplot of the above data. Do not use software to create the plot for you. x² 1444 625 2304 784 484 1681 324 676 900 1849 11071 Part c: Compute and interpret the correlation coefficient, r, for the above data. Show your work. y² 88.3600 53.7289 97.0225 58.2169 33.9889 65.6100 63.6804 59.9076 64.8025 117.7225 703.0402
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