ID
X
Y
1
2
3
2
3
6
3
4
6
4
5
7
5
8
7
6
5
7
7
6
7
8
8
8
9
7
8
10
12
11
Test the significance of the correlation coefficient.
Then use math test scores (X) to predict physics test scores
(Y). Do the following:
Create a scatterplot of X and Y.
Write the regression equation and interpret the regression
coefficients (i.e., intercept and slope).
Predict the physics score for each....
2. Consider the following data:
x= 1, 2, 3, 4, 5
y =3, 2, 4, 6, 5
By hand, not using Matlab, and showing your work:
(a) Compute the correlation coefficient.
(b) Find the least-squares line.
(c) Find the standard deviation around the least-squares
line.
1) Define the sets X ={ 1, 2, 3} and Y = {4, 5, 6}. Now, define
the relation R from X to Y by xRy if and only if x − y is even.
Find all of the elements in R.
2) Define the relation R on ℤ by mRn if and only if 2|(m − n).
Show that R is an equivalence relation.
Consider the following data table:
x
8
5
4
6
2
5
3
y
1
3
6
3
7
2
5
(15 points) Create a scatterplot of the data either by hand or
with a computer. Does there appear to be a linear
relationship between x and y? If so,
what is the strength and direction of the relationship?
(20 points) Give the Simple Linear Regression Model, using
x as the predictor variable and y as the response
variable. What is the meaning...
Returns on stocks X and Y are listed below:
Period
1
2
3
4
5
6
7
Stock X
3%
-2%
9%
6%
-1%
-4%
11%
Stock Y
1%
-4%
7%
12%
3%
-2%
-1%
Consider a portfolio of 20% stock X and 80% stock Y.
What is the (population) variance of portfolio
returns?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.
Returns on stocks X and Y are listed below:
Period
1
2
3
4
5
6
7
Stock X
5%
6%
-2%
-4%
6%
10%
7%
Stock Y
1%
-3%
6%
3%
12%
7%
-5%
Consider a portfolio of 40% stock X and 60% stock Y.
What is the (population) variance of portfolio
returns?
Please round your answer to six decimal places.
Returns on stocks X and Y are listed below:
Period
1
2
3
4
5
6
7
Stock X
5%
6%
-2%
-4%
6%
10%
7%
Stock Y
1%
-3%
6%
3%
12%
7%
-5%
Consider a portfolio of 40% stock X and 60% stock Y.
What is the (population) variance of portfolio
returns?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.
Step 2
Data Set A
x
1
2
3
4
5
6
7
y
7
7
7
9
9
9
10
Data Set B
x
1
2
3
4
5
6
7
8
9
10
11
y
4
6
6
6
8
9
9
9
10
10
10
Step 2
Find the equation for the least-squares line, and graph the
line on the scatter plot.
Find the sample correlation coefficient r and the
coefficient of determination r2. Is r
significant?...