Question
In: Math
Data can be collected and organized as an ordered pair (x, y). The data can be...
Data can be collected and organized as an ordered pair (x, y). The data can be analyzed to determine the type and strength of a correlation and to calculate a regression line in order to make a prediction.
Use the internet to find a data set of ordered pairs. Key terms to search: Free Public Data Sets and Medical Data Sets.
Create a Post:
Introduce your Data Set.
- Which would be the independent variable, and which would be the dependent variable?
- Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.
- Would you categorize your data to have a strong or weak correlation? Why?
- What would the r2 value tell you about the data that you selected?
- What is the equation of the regression line?
- Use the regression line to make a prediction about the data you collected.
Solutions
Expert Solution
1. Which would be the independent variable, and which would be the dependent variable?
Ans: The independent variable is Age in years and the dependent variable is blood pressure.
2. Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.
From the above scatter plot, the increases the value of age
increases the value of blood pressure and vice versa. Hence, the
relationship between age and blood pressure is positive.
Would you categorize your data to have a strong or weak correlation? Why?
Ans: Pearson correlation (r) of Age and Blood pressure is 0.896 and more than 0.5. Hence, these two data set has a strong correlation.
What would the r2 value tell you about the data that you selected?
Ans: The value of r2 is 0.896^2=0.8028. Hence, 80.28% variation of blood pressure is explained by the age.
What is the equation of the regression line?
The regression equation is
Blood pressure = 80.778 + 1.138 Age
Use the regression line to make a prediction about the data you collected.
| Age | Blood pressure | Predicted value |
| 56 | 147 | 144.5060189 |
| 42 | 125 | 128.5739467 |
| 72 | 160 | 162.7141015 |
| 36 | 118 | 121.7459157 |
| 63 | 149 | 152.472055 |
| 47 | 128 | 134.2639725 |
| 55 | 150 | 143.3680138 |
| 49 | 145 | 136.5399828 |
| 38 | 115 | 124.0219261 |
| 42 | 140 | 128.5739467 |
| 68 | 152 | 158.1620808 |
| 60 | 155 | 149.0580396 |
milcah answered 9 months agoRelated Solutions
A twin prime is a pair of primes (x, y), such that y = x +...
A twin prime is a pair of primes (x, y), such that y = x + 2.
Construct a list of all twin primes less than 1000. The result
should be stored in a list of numeric vectors called twin_primes,
whose elements are the twin primes pairs. Print the length of the
list twin_primes and print the 10th and the 15th elements of the
list, i.e. twin_primes[[10]] and twin_primes[[15]].
Please use R-code.
Find x and y so that the ordered data set has a mean of 42 and...
Find x and
y so that the ordered data set has a mean
of 42 and a median of 35, hence compute the harmonic mean and
geometric mean of the data sample.
17, 22, 26, 29, 34,
x, 42, 67, 70,
y
The lengths, in centimeters, of 18 snakes are given below. Draw
an ordered stem-and-leaf diagram for the
data.
24, 62, 20, 65, 27, 67, 69, 32, 40,
53, 55, 47, 33,...
A sales manager collected the following data on x = years of experience and y =...
A sales manager collected the following data on x =
years of experience and y = annual sales ($1,000s). The
estimated regression equation for these data is
ŷ = 83 + 4x.
Salesperson
Years of
Experience
Annual Sales
($1,000s)
1
1
80
2
3
97
3
4
102
4
4
107
5
6
103
6
8
116
7
10
119
8
10
123
9
11
127
10
13
136
(a)
Compute SST, SSR, and SSE.
SST=SSR=SSE=
(b)
Compute the coefficient...
A sales manager collected the following data on x = years of experience and y =...
A sales manager collected the following data on x =
years of experience and y = annual sales ($1,000s). The
estimated regression equation for these data is
ŷ = 82 + 4x.
Salesperson
Years of
Experience
Annual Sales
($1,000s)
1
1
80
2
3
97
3
4
102
4
4
107
5
6
103
6
8
101
7
10
119
8
10
128
9
11
127
10
13
136
(a)
Compute SST, SSR, and SSE.
SST=SSR=SSE=
(b)
Compute the coefficient...
The following rate data was collected for a reaction X + Y -> Products Exp. ...
The following rate data was collected for a reaction X + Y ->
Products
Exp.
[X]
[Y]
Rate of formation of a product
1
0.23
M
0.17
M
0.33
M/h
2
0.46
M
0.17
M
0.66 M/h
3
0.23
M
0.51
M
0.99 M/h
a. Determine the orders with respect to the two reactants and
write the rate law for the reaction
b. Calculate the value...
The following data for the dependent variable, y, and the independent variable, x, have been collected...
The following data for the dependent variable, y, and the
independent variable, x, have been collected using simple random
sampling:
X
Y
10
120
14
130
16
170
12
150
20
200
18
180
16
190
14
150
16
160
18
200
Construct a scatter plot for these data. Based on the scatter
plot, how would you describe the relationship between the two
variables?
Compute the correlation coefficient.
2. A student collected data on the number of large pizzas consumed, y, while x students...
2. A student collected data on the number of large pizzas
consumed, y, while x students were watching a professional football
game on TV. The data from five games are given in table below.
Number of students, x 2 5 6 3 4 Number of large pizzas, y 1 6 10 3
5 Please show work for full credit.
(e) Interpret your interval from part (d). (f) Calculate r2
(follow steps on page 92).
(g) Interpret r2.
(h) Compute linear...
Consider the following collected observations on the independent (X) and dependent variable (Y). Can we determine...
Consider the following collected
observations on the independent (X) and dependent variable (Y).
Can we determine the relation between X and Y wit the Pearson
coefficient of correlation and why? If yes, determine it and
interpret.
Test the significance of this coefficient of correlation at 5%
level.
X
Y
XY
X2
Y 2
errors
squared errors
1
6
82
492
36
6724
1,24
1,53
2
2
86
172
4
7396
-9,25
85,54
3
15
43
645
225
1849
-5,16
26,67...
Data collected from a sample of houses are organized and stored in the Table below. Develop...
Data collected from a sample of houses are organized and
stored in the Table below. Develop a regression model that predicts
the Assessed value of a house based on size of the house and
presence of a fireplace (Fireplace=1. No fireplace=0).
assessed value
size
fireplace
234.4
2
1
227.4
1.71
0
225.7
1.45
0
235.9
1.76
1
229.1
1.93
0
220.4
1.2
1
225.8
1.55
1
235.9
1.93
1
228.5
1.59
1
229.2
1.5
1
236.7
1.9
1
229.3
1.39...
Running times (Y) and maximal aerobic capacity (X) for 14 female Runners. Data collected for running...
Running times (Y) and maximal aerobic capacity (X) for 14 female
Runners. Data collected for running times and maximal aerobic
capacity are listed below X: 61.32 55.29 52.83 57.94 53.31 51.32
52.18 52.37 57.91 53.93 47.88 47.41 47.17 51.05 Y: 39.37 39.80
40.03 41.32 42.03 42.37 43.93 44.90 44.90 45.12 45.60 46.03 47.83
48.55 (a) Calculate the mean, median, MAD, MSD, and standard
deviation for each variable. ? [Include all your steps and explain
all the steps involved in details]...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A 1220-kg car pulls a 390-kg trailer. The car exerts a horizontal force of 3.6 ×...
- Why are Not for Profits susceptible to sophisticated scams?
- How does the idea of a ‘social license to operate’ impact an airport? ?
- Write a business report (addressed to your supervisor) focused on how your company (Samsung) should use...
- A 7800 kg rocket blasts off vertically from the launch pad with a constant upward acceleration...
- For the short essay assignment you will compare Pablo Neruda’s “Ode to a Large Tuna in...
- Case Study As the marketplace for goods and services becomes increasingly global, businesses must understand and...
ADVERTISEMENT