Question

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.

Answer #1

Consider the following sample of 8 observations on X and Y:
X:
18
12
15
21
18
22
16
19
Y:
45
38
39
65
42
58
51
61
(a) Determine the coefficients (i.e., the a and b values) of the
regression equation Y = a + bX.
(b) Now suppose each of the eight observations represents a
part-time salesperson in a retail
store. For each individual, X Is equal to the number of hours
worked last week, while Y...

Consider the following sample of 8 observations on X and Y:
X:
18
12
15
21
18
22
16
19
Y:
45
38
39
65
42
58
51
61
(a) Determine the coefficients (i.e., the a and b values) of the
regression equation Y = a + bX
(b) Now suppose each of the eights observations represents a
part-time salesperson in a retail store. For each individual, X is
equal to the number of hour worked last week, while Y...

Question 2: Consider the following sample of 8 observations on X
and Y:
X:
18
12
15
21
18
22
16
19
Y:
45
38
39
65
42
58
51
61
(a) Determine the coefficients (i.e., the a and b values) of the
regression equation .
(b) Now suppose each of the eight observations represents a
part-time salesperson in a retail store. For each individual, X Is
equal to the number of hours worked last week, while Y is equal...

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.

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.

1
2
3
4
5
X
7
20
6
17
20
Y
7
19
11
9
3
The following sample observations were randomly selected:
1. Determine the regression equation. (Negative answers should
be indicated by a minus sign. Do not round intermediate
calculations. Round the final answer to 4 decimal places.)
b= a=
Y'= ------ + ------ X
2. Determine the value of Y' When X is 20. (Do not round
intermediate calculations. Round the final answer to 4 decimal...

consider the following data on Y and X
Y X
15 16
18 25
27 40 you are estimate the equation Y=a+Bx+e
a- determine the OLS estimate the slope coefficient,B
b- determine the OLS estimate of the constant term,a{alpha}
c- interpret the meaning of the estimate slop coefficient that
you have estimate in words

Read the table below:
X
Y
13
18
14
21
17
19
11
20
12
16
10
13
Determine
1. the correlation coefficient (r)
2. The coefficient of determination (r
2)

Consider the following data for two variables, x and y.
xi 4 5 7 8 10 12 12 22
yi 12 14 16 15 18 20 24 19
Use the facts that ̄x= 10, ̄y= 17.25, ˆy= 13.05 +.42x, Σ(xi −
̄x)^2= 226, and s= 5.58.
Compute the leverage values for these data. Do there appear to
be any influential observations in these data? Explain.

Use the following information for problems 17-19:
Given the following data:
x
1
2
3
4
5
6
y
22
31
28
41
33
41
Which of the following would be the LSRL for the given data?
Determine the correlation coefficient for the data?
Find the residual value for x = 5.

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