Question

A trainer wishes to find out if there is a relationship between the number of miles walked per week and the weight of a person. The data for the sample are shown: Miles Walked, x: 15 20 3 12 17 8 Weight (lbs.), y: 147 106 210 160 122 165

a) Compute the value of the correlation coefficient.

b) Find the equation of the regression line.

c) Find y’ (the weight) when x = 11. (Someone walks 11 miles).

Answer #1

Solution:

Here we solve this problem using the minitab statistical software as below

a) correlation of x and y = **r = -0.976**

where x : miles and y : Weight

using the correlation we say that there is strong negative correlation between the miles and weight

b)

now

Regression Equation for the given data is

**y = 223.11 - 5.716 x**

c)

using the regression equation put x = 11 in the given regression equation as below

y = 223.11 - 5.716 x

now put x= 11

therefore

y = 223.11 - ( 5.716 * 11)

therfore

y = 160.234

hence

**y’
(the weight) when x = 11 is equal to 160.234**

Thank You..!!

please like it...

A baseball manager wishes to find out if there is a relationship
between the number of homeruns and the number of strikeouts in a
season by batters. The data for the sample are shown:
Homeruns, x: 23 62 10 51 38
Strikeouts, y: 61 175 40 129 124
a) Compute the value of the correlation coefficient.
b) Find the equation of the regression line.
c) Find y’ (the number of strikeouts) when x = 28. (someone hits
28 homeruns)

A manager wishes to determine the relationship between the
number of miles (in hundreds of miles) the manager's sales
representatives travel per month and the amount of sales (in
thousands of dollars) per month. For the given data calculate the
following: X=miles travelled 5 6 12 10 11 15 6 y=sales 31 32 70 61
64 60 45
a) Correlation coefficient
b) Equation of regression line
c) Find the value of sales when they travelled is 7 miles.

A manager wishes to find out whether there is a relationship
between the number of radio ads aired per week and the amount of
sales of a product. The data for the sample follows.
# of ads (x)
2
5
8
8
10
12
Sales (y)
$2,000
$4,000
$7,000
$6,000
$9,000
$10,000
If the equation of the regression line is y = a + bx, then the
value for "a" is:
Round to whole number.

A store manager wishes to find out whether there is a
relationship between the age of her employees and the number of
sick days they take each year. The data for the sample follow. Test
the hypothesis at α =0.05. Use Table I.
Age, x
18
26
39
48
53
58
Days, y
16
12
9
5
6
2
Find the correlation coefficient (r).
a.
-0.979
b.
0.979
c.
0.911
d.
-0.911
he critical values are:
a.
±0.811
b.
±0.878...

1. You are trying to see if there is a
relationship between height and weight. Write down the following
data, then by using a software program (e.g., Excel and SPSS), find
the correlation between the following data:
Height: 5' 11", 6' 2", 4' 3", 5' 5",
6' 6", 5' 2", 5' 9"
Weight: 175, 190, 102, 150, 210, 130,
160
a. Using the above data, find the
regression equation using weight as the dependent variable and
height as the independent...

A manager wishes to determine the relationship between the
number of years the manager's sales representatives have been with
the company and their average monthly sales (in thousands of
dollars). Calculate the linear correlation coefficient.
Years with company, x Sales, y
5 34
6 36
13 81
10 65
11 68
18 64
6 51
4 58
14 123

A manager wishes to find out whether there is a relationship
between the number of radio ads aired per week and the amount of
sales (in thousands of dollars) of a product. The data for the
sample follow.
# of ads, x
2
5
8
8
10
12
Sales, y
$2
$4
$7
$6
$9
$10
1. The alternative hypothesis would be:
2. The test is 2-tailed and the degrees of freedom are 4.
True
False
3. If α =...

Eight people participated in a study examining the relationship
between number of fast food stops and weight gain. The correlation
coefficient was found to be .96, and the regression equation is
2.83 + 1.2x.
(A) With reference to the correlation coefficient, what can you
conclude about the relationship between the number of fast food
stops amount of weight gained?
(B) What is the slope of the line? Interpret the slope in
words.
(C) The amount of weight gained can vary...

Refer to the table below. Consider the relationship between the
number of houses sold (Y) and the mortgage rate (X). The values of
X and Y for twelve (12) months are shown in the table below.
M-Rates 8 9.5 7.5 11 8.5 10 10.5 7 7.5 11 9 8 Houses sold 188 145
181 137 157 148 140 203 188 144 150 166 Based on that,
a. Calculate the coefficient of correlation between the number
of houses sold and the...

Barclay's manager of Financial Service wants to find out
the relationship between the number of client contacts and the
dollar amount of sales ($ thousands). She recorded the amount of
sales ($ thousands) last month from ten randomly selected clients.
The results from the Regression are presented below:
y^=1.4606x-6.5321;R2=0.735
What are the Independent and Dependent Variables?
Independent variable:
Dependent variable:
What is the value of the correlation coefficient?
Interpret it.
What % of the variation in the amount of sales...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 26 minutes ago

asked 32 minutes ago

asked 36 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago