Question
In: Statistics and Probability
The Chart below shows the predicted value of a model and the observed variable Y from...
The Chart below shows the predicted value of a model and the observed variable Y from the data.
| Actual Y | Predicted Y |
| 13 | 10 |
| 5 | 8 |
| 4 | 7 |
| 15 | 12 |
| 21 | 23 |
| 8 | 3 |
What is the total variation for the data? What does it measure? (1)
What is the unexplained variation for this dataset? Please explain what the unexplained variation measures. (2)
What is the explained variation for the dataset? What does the explained variation tell about the model? (2)
What Is the R-Square statistic tell us about the model? What is the R-Square for the model? (2)
What is the standard deviation of the models predictions? (3)
Solutions
orchestra answered 2 years agoRelated Solutions
1. The distance between the Y value in the data and the predicted Y value from...
1. The distance between the Y value in the data and the
predicted Y value from the regression equation is known as the ? a.
criterion gap b. residual c. prediction gap 4. seeming
error
2. A linear regression has been based on a Pearson correlation
of r=.8. Without even looking at a scatterplot of the data you can
say.. a. the slope will be positive b. the slope will be negative
c. the predictions will be accurate d. it...
The chart below shows the results of a sample of 10 workers from a large company....
The chart below shows the results of a sample of 10 workers from
a large company.
Employee
Years of Experience
Income (In thousands of dollars)
1
0
20
2
5
30
3
5
40
4
10
30
5
10
50
6
15
50
7
20
60
8
25
50
9
30
70
10
35
60
What is the equation of the line of best fit? (
Options: y= 1.16+28x, y=28+1.16x, y=1.16-28x,
y+28-1.16x)
What can we expect an employee to make...
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
5. The table below shows actual temperatures and
predicted temperatures for San Antonio from August 01 through
15th.
https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198
Day
Temperature
1
100
2
100
3
99
4
98
5
101
6
100
7
101
8
102
9
103
10
103
11
104
12
104
13
104
14
103
15
100
a. Decide which variable should be the independent
variable and which should be the dependent variable.
b. Draw a chart for the data. Make sure to show the
equation...
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01...
5. The table below shows actual temperatures and
predicted temperatures for San Antonio from August 01 through
15th.
https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198
Day
Temperature
1
100
2
100
3
99
4
98
5
101
6
100
7
101
8
102
9
103
10
103
11
104
12
104
13
104
14
103
15
100
a. Decide which variable should be the independent
variable and which should be the dependent variable.
b. Draw a chart for the data. Make sure to show the
equation...
Estimating the value of the subject response, y, for an value of x within the observed...
Estimating the value of the subject response, y, for an value
of x within the observed values of x in the data.
Interpolation
Marginal Change
Residual Error
Extrapolation
Which measure of correlation is the strongest association.
A) 0.92
B) 0.001
C) -0.014
D) -0.95
High (strong) correlation implies cause and effect.
True
False
Estimating the value of the subject response, y, for an value
of x outside the observed values of x in the data.
Marginal Change
Interpolation
Correlation
Extrapolation...
Use the dataset and the predicted regression equation to calculate the expected value of Y for...
Use the dataset and the predicted regression equation to
calculate the expected value of Y for each known value of X. Then,
use this information to calculate the standard error of estimate.
Round all values to the nearest whole number.
Y’ = 2.5 + .75(ice cream sales)
Ice Cream Sales
Observed Crime
Predicted Crime
10
5
20
20
30
30
20
25
30
15
10
10
Now, calculate the standard error. The standard error is
_________
PLEASE show your work...
The data below shows the observed pollution indexes of air samples that are randomly chosen in...
The data below shows the observed pollution indexes of air
samples that are randomly chosen in two areas of a city. The
pollution indexes of air are said to be normally distributed from
both areas. Use a 95% confidence interval to
determine if the mean pollution indexes of air are different for
the two areas.
Area A
Area B
2.92
4.69
1.84
3.44
1.88
4.86
0.95
3.69
5.35
5.81
4.26
4.95
3.81
5.55
3.18
4.47
a) The categories of a categorical variable are given along with the observed counts from a...
a) The categories of a categorical variable are given along with
the observed counts from a sample. The expected counts from a null
hypothesis are given in parentheses. Compute the χ2-test statistic,
and use the χ2-distribution to find the p-value of the
test.
Category
A
B
C
D
Observed
(Expected)
80(70)
130(140)
195(210)
295(280)
Round your answer for the chi-square statistic to two decimal
places, and your answer for the p-value to four decimal
places.
chi-square statistic = ____________________...
A distribution and the observed frequencies of the values of a variable from a simple random...
A distribution and the observed frequencies of the values of a
variable from a simple random sample of the population are provided
below. Use the chi-square goodness-of-fit test to decide, at the
specified significance level, whether the distribution of the
variable differs from the given distribution.
Distribution:
0.18750.1875,
0.18750.1875,
0.250.25,
0.3750.375
Observed frequencies:
1818,
1919,
2020,
3939
Significance
levelequals=0.05
A distribution and the observed frequencies of the values of a variable from a simple random...
A distribution and the observed frequencies of the values of a
variable from a simple random sample of the population are
provided. Use the chi-squaregoodness-of-fit test to decide, at a
significance level of 0.10, whether the distribution of the
variable differs from the given distribution. (You need to add the
expected column based on the distribution)
a. Specify which
Chi-Square test you are doing (Goodness-of-Fit or Test for
Independence):
b. Formulate the null
(H0) and alternate (HA) hypotheses:
c. Specify the level of...
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