Question

Consider the following sample:

x |
9 |
6 |
7 |
5 |
8 |

y |
19 |
14 |
16 |
12 |
15 |

- Calculate the coefficient of correlation. Does correlation coefficient provide information about the relationship between x and y? Explain.
- Find the linear regression line.
- Find y, if x is 10.

Answer #1

Consider the following sample of 8 observations on X and Y:X: 4
19 2 17 16 20 7 20 Y: 25 22 19 14 3 4 20 9 (a) Determine the
coefficient of correlation between Y and X. (b) Determine the
coefficients (i.e., the a and b values) of the regression equation
Y = a + bX. (c) Interpret the values of the coefficients a and
b.

7- The following sample of observations were randomly
selected.
X
6
3
5
8 12
Y
4
8
6
10 14
Determine the correlation coefficient and interpret the
relationship between X and Y.
Find the Linear Regression equation.
Find the value of Y when X 11.
Please show calculations. Thank you.

Consider the following sample data for two variables. x = 16,
6,4,2 and Y= 5,11,6,8 a. Calculate the sample covariance
Sxy= b. Calculate the sample correlation coefficient
rxy= c. Describe the relationship between x and y. Choose the
correct answer below. A. There is a positive linear relationship
between x and y. B. There is no linear relationship between x and
y. C. There is a perfect negative linear relationship between x and
y. D. There is a perfect positive linear...

Consider the data in the worksheet below.
X
Y
5
6
6
9
7
11
8
13
9
14
10
15
11
15
12
13
a. Generate a model for y as a function of x.
b. Is this model useful? Justify your conclusion based on:
i. R2 Adjusted
ii. Hypothesis test for model coefficient
iii. overall model adequacy test
iv. regression assumptions.
c. If needed, modify model as appropriate and generate a new
model.
Please be as detailed in...

x | 12 10 9 7 8
y | 182 169 155 140 144
Find the regression equation for problem 7 and find a
corresponding y value when x = 11. Is this a positive linear
correlation or a negative linear correlation? Explain.
Regression Equation:
When ? = 11, ? =_______________
Circle one: Positive correlation or Negative correlation
Explain how you know whether it is a positive or negative
correlation:

Assuming a linear relationship between X and
Y, if the coefficient of correlation (r) equals
−0.75, this means that:
a.
there is very weak correlation.
b.
the slope b1 is = −0.75.
c.
the value of X is always greater than the value of
Y.
d.
None of these choices are true.
Which of the following is a property of the slope,
b1?
a.
The slope equals one if X and Y have the same
variance.
b.
The slope has...

The following sample observations were randomly selected
x: 14, 7 ,5 ,11 ,12
y: 11, 8 ,15 ,14, 8
A. Determine the regression equation
.B. Determine the vaule of Y' When X is 10

Given the following data set: X: 3 7 9 11 15 Y: 11 16 16 16
16
a. Find the correlation coefficient.
b. What is the regression equation?
c. Using the regression to predict the value of Y when X =
11.
d. What is the predicted residual when X = 11?
e. Find the root mean square error.

Calculate the correlation for the data
x
y
13
14
14
8
18
8
19
7
22
2
23
3

Given the following sample data set.
X= 2 3 5 6 6
Y= 10 9 7 4 2
a. Draw a scatter diagram of the data. (using Ti 84)
b. Compute the correlation coefficient r. Then use 0.05
significance level to test whether there is a linear correlation
between x and y. (using Ti 84)

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