Question
In: Statistics and Probability
Consider the accompanying data examining the heights and arm spans of randomly selected students. Complete parts...
Consider the accompanying data examining the heights and arm spans of randomly selected students. Complete parts a through g below.
|
Height_(cm) |
Arm_Span_(cm) |
|
179 |
170 |
|
169 |
179 |
|
150 |
153 |
|
175 |
170 |
|
178 |
153 |
|
200 |
188 |
|
161 |
147 |
|
160 |
151 |
|
175 |
157 |
|
173 |
199 |
Rsquared=32.6%
s=2.56
constant=39.215
height 0.741
a) Write the regression equation. Define the variables used in your equation.
Arm Span (cm)=_____+_____•( Height(cm))
b) f a student is 165 cm tall, what is his predicted Arm Span?
c)f this 165 cm tall student has an actual Arm Span of 161cm, what is the value of the residual? Does he have shorter or longer arms than predicted?
residual is ____
d)If a student has a residual of 6cm and a Height of 158cm, what is his actual arm span?
e)State and interpret the UpperR2 value in context.
The R2 value is_____. This means that ______of the variation in Arm Span is explained successfully by using ___.
Solutions
orchestra answered 2 years agoRelated Solutions
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people. Arm Span, x 51 52 56 49
54 59 58 55 52 56 Height, y 51 53 54 50 55 57 58 57 52 56
1) Construct the 1% confidence interval for the population slope
β 1 .
Make sure your answers follow the rounding rule in the
direction.
Lower endpoint =
Upper endpoint =
2) Fill in the blanks in...
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people. Arm Span, x 51 52 56 49
54 59 58 55 52 56 Height, y 51 53 54 50 55 57 58 57 52 56
What is the point estimate for the mean height of all people
whose arm span is exactly 53 inches? Make sure your answer follows
the rounding rule
MUST ROUND TO SIX DECIMAL PLACES
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people.
Arm Span, x
51
52
56
49
54
59
58
55
52
56
Height, y
51
53
54
50
55
57
58
57
52
56
Perform a test, at the 5% level of significance, for the
population slope β 1 of the regression line.
H0:
Ha:
t-Test Statistic (round this value to three
decimal places) =
Critical t-Score (t α or...
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people.
Arm Span, x
51
52
56
49
54
59
58
55
52
56
Height, y
51
53
54
50
55
57
58
57
52
56
1) Construct the 1% confidence interval for the population slope
β 1. Make sure your answers follow the rounding rule in the
direction.
Lower endpoint =
Upper endpoint =
2) Fill in the blanks in the...
The following data shows self reported heights and measured heights (in inches) for 8 randomly selected...
The following data shows self reported heights and measured
heights (in inches) for 8 randomly selected teenage girls. Is there
sufficient evidence, at a 0.05 significance levelto sugest that
there is a difference between self reported and measured height?
Reported 53,64, 61, 66, 64, 65, 68, 63 Measured 58.1 62.7 61.1 64.8
63.2 66.4 67.6 63.5
The paired data below consists of heights and weights of 6 randomly selected adults. The equation...
The paired data below consists of heights and weights of 6
randomly selected adults. The equation of the regression line is
y-hat = -181.342 + 144.46x and the standard error of estimate is
se=5.0015. Find the 95% prediction interval for the weight of a
person whose height is 1.75 m.
x height (meters) y weight (kg)
1.61 54
1.72 62
1.78 70
1.80 84
1.67 61
1.88 92
The accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEO) and...
The accompanying data represent the total compensation for
12
randomly selected chief executive officers (CEO) and the
company's stock performance in a recent year. Complete parts (a)
through (d) below.
LOADING...
Click the icon to view the CEO data.
(a) One would think that a higher stock return would lead to a
higher compensation. Based on this, what would likely be the
explanatory variable?
Stock return
Compensation
(b) Draw a scatter diagram of the data. Use the result from
part...
The accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEOs) and...
The accompanying data represent the total compensation for 12
randomly selected chief executive officers (CEOs) and the
company's stock performance.
Company Compensation Return
A 14.98 74.48
B 4.61 63.62
C 6.15 148.21
D 1.11 30.35
E 1.54 11.94
F 3.28 29.09
G 11.06 0.64
H 7.77 64.16
I 8.23 50.41
J 4.47 53.19
K 21.39 21.94
L 5.23 33.68
(a) Treating compensation as the explanatory variable, x, use
technology to determine the estimates of β0 and β1.
The estimate of...
The accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEOs) and...
The accompanying data represent the total compensation for 12
randomly selected chief executive officers (CEOs) and the
company's stock performance.
Company Compensation Return
A 14.98 74.48
B 4.61 63.62
C 6.15 148.21
D 1.11 30.35
E 1.54 11.94
F 3.28 29.09
G 11.06 0.64
H 7.77 64.16
I 8.23 50.41
J 4.47 53.19
K 21.39 21.94
L 5.23 33.68
(a) Treating compensation as the explanatory variable, x, use
technology to determine the estimates of β0 and β1.
The estimate of...
The data in the accompanying table represent the heights and weights of a random sample of...
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 76 227
Player_2 75 197
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
alphaαequals=0.05
level of significance.
Determine the...
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