Question

The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts (a) through (c) below.

Player Height_(inches)
Weight_(pounds)

Player_1 75 227

Player_2 75 195

Player_3 72 180

Player_4 82 231

Player_5 69 185

Player_6 74 190

Player_7 75 228

Player_8 71 200

Player_9 75 230

**(a) Draw a scatter diagram of the data, treating
height as the explanatory variable and weight as the response
variable.**

****

**(b) Determine the least-squares regression line. Test
whether there is a linear relation between height and weight at the
α=0.05 level of significance.**

Determine the least-squares regression line. Choose the correct answer below.

A.

ŷ=4.058x−93.9

B.

ŷ =8.058x−93.9

C.

ŷ =4.058x−95.9

D.

ŷ =−93.9x+4.058

**Determine the P-value for this hypothesis
test.**

P-value=__?__

(Round to three decimal places as needed.)

**State the appropriate conclusion at the α=0.05 level of
significance.**

Choose the correct answer below.

A.

Reject H0. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

B.

Reject H0. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

C.

Do not reject H0. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

D.

Do not reject H0. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

**(c)** Remove the values listed for Player 4 from
the data table. Test whether there is a linear relation between
height and weight. Do you think that Player 4 is influential?

**Determine the P-value for this hypothesis
test.**

P-value=__?__

(Round to three decimal places as needed.)

State the appropriate conclusion at the α=0.05 level of significance.

Choose the correct answer below.

A.

Do not reject H0. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

B.

Do not reject H0. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

C.

Reject H0. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

D.

Reject H0. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

**Do you think that Player 4 is influential?**

Yes

No

Answer #1

Applying regression on above data:

scatterplot is given above:

b)

A.

ŷ=4.058x−93.9

**P-value for this hypothesis test** =0.039

B: Reject H0. There is sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

c) P-value= 0.076

B: Do not reject H0. There is not sufficient evidence to conclude that a linear relation exists between the height and weight of baseball players.

Yes

The data in the accompanying table represent the heights and
weights of a random sample of professional baseball players.
Complete parts (a) through (c) below.
Player Height_(inches) Weight_(pounds)
Player_1 76 225
Player_2 75 195
Player_3 72 180
Player_4 82 231
Player_5 69 185
Player_6 74 190
Player_7 75 228
Player_8 71 200
Player_9 75 230
(b) Determine the least-squares regression line. Test whether
there is a linear relation between height and weight at the α=0.05
level of significance.
Determine the...

A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. A normal probability
plot suggests that the residuals are normally distributed. Complete
parts (a) and (b) below.
Height (inches), x
26
27.75
25.5
27.5
24.5
Head Circumference (inches), y
17.3
17.6
17.1
17.5
17.1
(a) Use technology to determine sb1.
sb1=____ (Round to four decimal places...

The accompanying data represent the total compensation for 12
randomly selected chief executive officers (CEOs) and the company's
stock performance. Use the data to complete parts (a) through
(d).
3 Click the icon to view the data table.
Data Table of Compensation and Stock
Performance
Company Compensation (millions of
dollars) StockReturn (%)
A
13.82
71.39
B
3.83
69.37
C
6.16
141.42
D
1.95
37.61
E
1.13
10.34
F
3.71
29.55
G
11.96
0.77
H
6.22
62.48
I
9.31
53.21
J ...

For the data set shown? below, complete parts? (a) through? (d)
below. x 3 4 5 7 8 y 4 6 8 12 13 ?(a)??Find the estimates of beta 0
and beta 1. beta 0almost equalsb 0equals nothing ?(Round to three
decimal places as? needed.) beta 1almost equalsb 1equals nothing
?(Round to three decimal places as? needed.) ?(b)??Compute the
standard? error, the point estimate for sigma. s Subscript eequals
nothing ?(Round to four decimal places as? needed.) ?(c)??Assuming
the residuals...

For the data set shown below, complete parts (a) through (d)
below. x 3 4 5 7 8 y 5 7 6 13 14 (a) Find the estimates of beta 0
and beta 1. beta 0almost equalsb 0equals nothing (Round to three
decimal places as needed.) beta 1almost equalsb 1equals nothing
(Round to three decimal places as needed.) (b) Compute the
standard error, the point estimate for sigma. s Subscript eequals
nothing (Round to four decimal places as needed.) (c) ...

The football players continue their hypothesis test by finding
the p-value to make a conclusion about the null hypothesis.
H0:μ=275; Ha:μ<275, which is a left-tailed test.
α=0.025.
z0=−1.49
Which is the correct conclusion of Jose's one-mean hypothesis
test at the 2.5% significance level?
Use the Standard Normal Table for the critical values:
z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
...
...
...
...
...
...
...
...
...
...
...
−1.6
0.0455
0.0465
0.0475
0.0485
0.0495...

Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 500 provided a sample proportion
p = 0.275.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.30.Do not reject
H0. There...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.20.Reject
H0. There is sufficient...

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: μ = 22
Ha: μ ≠ 22
A sample of 75 is used and the population standard deviation is
10. Compute the p-value and state your conclusion for each
of the following sample results. Use α = 0.01.
(Round your test statistics to two decimal places and your
p-values to four decimal places.)
(a) x = 24
Find the...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is ŷ =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...

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