2. Based on the data set of Problem 1, find the best point-estimate of the volume of the foam, when the temperature of the vinegar is 65°F. For an extra credit, back up your computation visually, by presenting the scatter plot and the regression line.
2. Based on the data set of Problem 1, find the best point-estimate of the volume of the foam, when the temperature of the vinegar is 65°F. For an extra credit, back up your computation visually, by presenting the scatter plot and the regression line.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please answer question 2 using the information in question 1! Thank You!
Transcribed Image Text:Math 1680 Elementary Probability and Statistics
Exercise Set 3
Name:
1. The following data table is obtained by a fourth grader on his science project, "Exploding
Foam." He poured 1/2 tea-spoon of baking soda and 1/8 tea-spoon of laundry detergent into
1/4 cup (50ml) of vinegar of various temperature, and measured the volume of the foam.
Num. Temp.
1 45.5°F 250ml
44.6°F 350ml
Vol. Num. Temp.
Vol. Num. Temp.
Vol.
3 43.0°F 300ml
2 41.4°F 175ml
52.0°F 300ml
52.4°F 300ml
75.1°F 450ml
14 120.1°F 600ml
4
71.9°F 400ml
44.1°F 500ml
57.9°F 300ml
13 123.6°F 600ml
89.3°F 500ml
94.3°F 550ml
48.5°F 250ml
96.6°F 550ml
15 104.6°F 550ml
7
8
10
11
12
16
17 101.1°F 400ml
18
94.4°F 550ml
19
Mean
SD
Cor
(a) Find the means (7 and g).
(b) Find the standard deviations (s, and s,).
(c) Find the correlation coefficient (r).
(d) Produce a scatter plot.
2. Based on the data set of Problem 1, find the best point-estimate of the volume of the foam,
when the temperature of the vinegar is 65°F. For an extra credit, back up your computation
visually, by presenting the scatter plot and the regression line.
3. Based on the data set of Problem 1, find the best point-estimate of the temperature of the
vinegar, if the volume of the foam is 380ml. For an extra credit, justify your computation
visually, by presenting the scatter plot and the regression line.
Expert Solution
Step 1
Given data,
| num | Temp | Vol |
| 1 | 45.5 | 250 |
| 2 | 41.4 | 175 |
| 3 | 43 | 300 |
| 4 | 44.6 | 350 |
| 5 | 52 | 300 |
| 6 | 71.9 | 400 |
| 7 | 44.1 | 500 |
| 8 | 52.4 | 300 |
| 9 | 48.5 | 250 |
| 10 | 57.9 | 300 |
| 11 | 75.1 | 450 |
| 12 | 96.6 | 550 |
| 13 | 123.6 | 600 |
| 14 | 120.1 | 600 |
| 15 | 104.6 | 550 |
| 16 | 89.3 | 500 |
| 17 | 101.1 | 400 |
| 18 | 94.4 | 550 |
| 19 | 94.3 | 550 |
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