Question
In: Statistics and Probability
The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a)...
The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats. Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price $517 $1163 $1350 $1410 $5672 $2278
a. Find the explained variation. nothing (Round to the nearest whole number as needed.)
b. Find the unexplained variation. nothing (Round to the nearest whole number as needed.)
c. Find the indicated prediction interval. $ nothingless thanyless than$ nothing (Round to the nearest whole number as needed.) Enter your answer in each of the answer boxes.
Solutions
orchestra answered 2 years agoRelated Solutions
The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a)...
The table below lists weights (carats) and prices (dollars) of
randomly selected diamonds. Find the (a) explained variation, (b)
unexplained variation, and (c) indicated prediction interval.
There is sufficient evidence to support a claim of a linear
correlation, so it is reasonable to use the regression equation
when making predictions. For the prediction interval, use a 95%
confidence level with a diamond that weighs 0.8 carats.
Weight Price
0.3 520
0.4 1171
0.5 1336
0.5 1425
1.0 5671
0.7 2278
The paired values represent the weights (carats) and prices (dollars) of randomly selected diamonds. Weight 0.2...
The paired values represent the weights (carats) and prices
(dollars) of randomly selected diamonds.
Weight
0.2
0.4
0.5
0.6
0.9
0.7
0.8
Price
610
1354
1343
1752
5605
2277
2600
39. Compute the least squares regression line for the predicted
price for a given weight.
40. Calculate the correlation coefficient between the two
variables.
Please show work using excel functions!
The table lists height (in) and weights (lb) of randomly selected 8 students. Height (in) 60...
The table lists height (in) and weights (lb) of randomly
selected 8 students.
Height (in) 60 65 66 68 60 67 69 70
Weight (lb) 150 152 156 160 160 167 168 170
(a) Find the the value of coefficient of correlation r.
(b) Find the equation of the line of best best fit (trend line).
What does variable y represents?
(c) Estimate weight of a student from the same group who is 64
inches tall.
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...
The accompanying data table contains the listed prices and weights of the diamonds in 30 rings...
The accompanying data table contains the listed prices and
weights of the diamonds in 30 rings offered for sale in a
newspaper. The prices are in dollars, with the weights in carats.
Formulate the regression model with price as the response and
weight as the explanatory variable. Complete parts (a) and (b)
below.
Weight (Carat)
Price ($)
0.21
540
0.18
444
0.18
430
0.16
350
0.15
330
0.25
667
0.22
526
0.27
723
0.24
655
0.25
640
0.22
605
0.29...
The accompanying data table contains the listed prices and weights of the diamonds in 30 rings...
The accompanying data table contains the listed prices and
weights of the diamonds in
30
rings offered for sale in a newspaper. The prices are in
dollars, with the weights in carats. Formulate the regression model
with price as the response and weight as the explanatory variable.
Complete parts (a) and (b) below.
(a) Could these data be a sample from a population in which the
population intercept is zero? Should
β0=0?
Conduct a hypothesis test for
β0.
Identify the...
The table below lists the earnings (in thousands of dollars) of a random sample of 12...
The table below lists the earnings (in thousands of
dollars) of a random sample of 12 male and 12 female salespersons.
At alpha = 0.10 can you conclude that there is a difference between
males’ and females’ earnings?
Male
28
43
64
51
48
44
36
45
67
49
40
65
Female
36
27
51
43
35
48
41
37
34
47
50
43
The claim is “there is a difference between males’ and
females’ earnings”
The table below lists the weights of some colleage students in September and later in February...
The table below lists the weights of some colleage students in
September and later in February of their freshman year.
September weight
62
58
71
67
51
60
72
50
66
57
70
82
62
56
73
51
71
55
70
82
56
60
69
58
February weight
68
56
67
72
56
58
77
55
69
56
65
76
57
59
77
56
68
56
64
76
56
58
75
54
At the 0.05 significance level, test the claim...
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