THIS IS ALL ONE QUESTION PLEASE FILL IN BLANKS ONLY Twenty-one mature flowers of
ID: 3156839 • Letter: T
Question
THIS IS ALL ONE QUESTION PLEASE FILL IN BLANKS ONLY
Twenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted.
(A) Is there sufficient evidence to claim a linear relationship between these two variables at = .05?
ANSWER:___________
(B) Find r. (Give your answer correct to three decimal places.)
ANSWER: R=___________
(C) What is the relationship between the number of stamens and the number of carpels in this variety of flower?. (Give your answers correct to two decimal places.)
(D) Is the slope of the regression line significant at = .05?(i) Find t. (Give your answer correct to two decimal places.)
ANSWER: T=_________
(E) Find the P-value. (Give your answer bounds exactly.)
ANSWER: ___________< p <___________
(F) Find the 98% prediction interval for the number of carpels that one would expect to find in a mature flower of this variety if the number of stamens were 63. (Give your answers correct to one decimal place.)
ANSWERS:
x, Stamens 65 41 43 62 60 76 61 57 38 45 39 54 39 42 60 39 62 65 39 46 45 y, Carpels 29 28 35 30 27 35 31 35 35 30 19 35 24 27 25 26 20 25 22 26 28Explanation / Answer
THIS IS ALL ONE QUESTION PLEASE FILL IN BLANKS ONLY
Twenty-one mature flowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted.
x, Stamens
65
41
43
62
60
76
61
57
38
45
39
54
39
42
60
39
62
65
39
46
45
y, Carpels
29
28
35
30
27
35
31
35
35
30
19
35
24
27
25
26
20
25
22
26
28
(A) Is there sufficient evidence to claim a linear relationship between these two variables at = .05?
ANSWER: No,
There is no sufficient evidence to claim a linear relationship between these two variables, F=0.96, P=0.34.
(B) Find r. (Give your answer correct to three decimal places.)
ANSWER: R=0.219
(C) What is the relationship between the number of stamens and the number of carpels in this variety of flower?. (Give your answers correct to two decimal places.)
ANSWER: y =
23.37 + 0.09x
(D) Is the slope of the regression line significant at = .05?(i) Find t. (Give your answer correct to two decimal places.)
ANSWER: T= 0.98
(E) Find the P-value. (Give your answer bounds exactly.) p=0.3406
ANSWER: 0.3< p <0.4
(F) Find the 98% prediction interval for the number of carpels that one would expect to find in a mature flower of this variety if the number of stamens were 63. (Give your answers correct to one decimal place.)
ANSWERS:
Lower Limit: 16.1
Upper Limit: 42.4
Regression Analysis
r²
0.048
n
21
r
0.219
k
1
Std. Error
4.941
Dep. Var.
y, Carpels
ANOVA table
Source
SS
df
MS
F
p-value
Regression
23.3281
1
23.3281
0.96
.3406
Residual
463.9100
19
24.4163
Total
487.2381
20
Regression output
confidence interval
variables
coefficients
std. error
t (df=19)
p-value
98% lower
98% upper
Intercept
23.3747
5.0434
4.635
.0002
10.5672
36.1823
x, Stamens
0.0938
0.0960
0.977
.3406
-0.1499
0.3375
Predicted values for: y, Carpels
98% Confidence Interval
98% Prediction Interval
x, Stamens
Predicted
lower
upper
lower
upper
Leverage
63
29.285
25.337
33.233
16.130
42.440
0.099
x, Stamens
65
41
43
62
60
76
61
57
38
45
39
54
39
42
60
39
62
65
39
46
45
y, Carpels
29
28
35
30
27
35
31
35
35
30
19
35
24
27
25
26
20
25
22
26
28
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