Question

In baseball, is there a linear correlation between batting
average and home run percentage? Let *x* represent the
batting average of a professional baseball player, and let
*y* represent the player's home run percentage (number of
home runs per 100 times at bat). A random sample of *n* = 7
professional baseball players gave the following information.

x |
0.251 | 0.257 | 0.286 | 0.263 | 0.268 | 0.339 | 0.299 |

y |
1.3 | 3.0 | 5.5 | 3.8 | 3.5 | 7.3 | 5.0 |

(a) Make a scatter diagram of the data.

Selection Tool

Line

Ray

Segment

Circle

Vertical Parabola

Horizontal Parabola

Point

No Solution

Help

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.1

0.11

0.12

0.13

0.14

0.15

0.16

0.17

0.18

0.19

0.2

0.21

0.22

0.23

0.24

0.25

0.26

0.27

0.28

0.29

0.3

0.31

0.32

0.33

1

2

3

4

5

6

7

8

Clear Graph

Delete Layer

Fill

WebAssign Graphing Tool

Graph LayersToggle Open/Closed

- After you add an object to the graph you can use Graph Layers to view and edit its properties.

(b) Use a calculator to verify that Σ*x* = 1.963,
Σ*x*^{2} = 0.556, Σ*y* = 29.4,
Σ*y*^{2} = 145.92 and Σ*xy* = 8.577.

Compute *r*. (Round your answer to three decimal
places.)

As *x* increases, does the value of *r* imply that
*y* should tend to increase or decrease? Explain your
answer.

Given our value of *r*, we can not draw any conclusions
for the behavior of *y* as *x* increases.Given our
value of *r*, *y* should tend to decrease as
*x* increases. Given our value of
*r*, *y* should tend to increase as *x*
increases.Given our value of *r*, *y* should tend to
remain constant as *x* increases.

Answer #1

a)

The points form a near to straight line and increase the value of x increases the corresponding value of y and vice versa. Hence, these two variables have a positive association.

b)

As *x* increases, the value of *r* implies that
*y* should tend to increase.

Given our value of *r*, *y* should tend to
increase as *x* increases.

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the batting
average of a professional baseball player, and let y represent the
player's home run percentage (number of home runs per 100 times at
bat). A random sample of n = 7 professional baseball players gave
the following information. x 0.243 0.265 0.286 0.263 0.268 0.339
0.299 y 1.1 3.5 5.5 3.8 3.5 7.3 5.0 (a) Make a scatter diagram of
the...

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the
batting average of a professional baseball player, and let
y represent the player's home run percentage (number of
home runs per 100 times at bat). A random sample of n = 7
professional baseball players gave the following information.
x
0.253
0.263
0.286
0.263
0.268
0.339
0.299
y
1.1
3.3
5.5
3.8
3.5
7.3
5.0
(a) Make a scatter diagram of the...

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the
batting average of a professional baseball player, and let
y represent the player's home run percentage (number of
home runs per 100 times at bat). A random sample of n = 7
professional baseball players gave the following information.
x
0.253
0.245
0.286
0.263
0.268
0.339
0.299
y
1.4
3.7
5.5
3.8
3.5
7.3
5.0
(a) Make a scatter diagram of the...

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the batting
average of a professional baseball player, and let y represent the
player's home run percentage (number of home runs per 100 times at
bat). A random sample of n = 7 professional baseball players gave
the following information. x 0.249 0.265 0.286 0.263 0.268 0.339
0.299 y 1.1 3.0 5.5 3.8 3.5 7.3 5.0 (a) Make a scatter diagram of
the...

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the
batting average of a professional baseball player, and let
y represent the player's home run percentage (number of
home runs per 100 times at bat). A random sample of n = 7
professional baseball players gave the following information.
x
0.247
0.249
0.286
0.263
0.268
0.339
0.299
y
1.0
3.5
5.5
3.8
3.5
7.3
5.0
(b) Use a calculator to verify that...

In baseball, is there a linear correlation between
batting average and home run percentage? Let x represent the
batting average of a professional baseball player, and let y
represent the player's home run percentage (number of home runs per
100 times at bat). A random sample of n = 7 professional baseball
players gave the following information.
x 0.247 0.257 0.286 0.263 0.268 0.339 0.299
y 1.5 3.0 5.5 3.8 3.5 7.3 5.0
(a) Make a scatter diagram of the...

In baseball, is there a linear correlation between batting
average and home run percentage? Let x represent the
batting average of a professional baseball player, and let
y represent the player's home run percentage (number of
home runs per 100 times at bat). A random sample of n = 7
professional baseball players gave the following information.
x
0.235
0.249
0.286
0.263
0.268
0.339
0.299
y
1.3
3.2
5.5
3.8
3.5
7.3
5.0
(a) Make a scatter diagram of the...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
36
73
y
40
35
30
28
16
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
5
10
15
20
25
30
35
40
45...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
37
70
y
40
35
30
27
16
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
5
10
15
20
25
30
35
40
45...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
32
71
y
40
35
30
27
16
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
5
10
15
20
25
30
35
40
45...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 34 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago