Question
In: Statistics and Probability
A survey of prices for external disk drives found the accompanying data, where 1 TB equals...
A survey of prices for external disk drives found the accompanying data, where 1 TB equals 1000 gigabytes. Some research on the prices discovered that the 160 GB hard drive was a special "hardened" drive designed to resist physical shocks. Because it is completely different from the other drives, it was removed from the data. The correlation is now 0.994 and other summary statistics are shown in the accompanying popup window. Complete parts a and b.
Solutions
Expert Solution
a) If a drive has a capacity of 2.8464 TB (or 1 SD above the mean of 1.259 TB), how many standard deviations above or below the mean price of $157.32 do you expect the drive to cost?
The expected cost is _________, standard deviations __above or below__ the mean price.
b) To what price does that correspond?
$ _______ ( Round to the nearest cent as needed.)
| Capacity (in TB) | Price (in $) |
| 0.090 | 19.00 |
| 0.120 | 34.49 |
| 0.210 | 223.45 |
| 0.250 | 44.99 |
| 0.350 | 52.99 |
| 1.0 | 161.00 |
| 3.0 | 355.79 |
| 4.0 | 433.00 |
Capacity (in TB) / Price (in $)
x= 1.259 / y= 157.32
SD (x) = 1.5874 / SD(y) = 169.87
zx = (x-xbar)/sx
zx = (2.8464-1.259)/1.5874
zx = 1(which was given in the question)
zyhat = r * zx
zyhat = .995 * 1
zyhat = 0.995
orchestra answered 2 years agoRelated Solutions
Disk drives have been getting larger. Their capacity is now often given in terabytes(TB) where 1...
Disk drives have been getting larger. Their capacity is now
often given in terabytes(TB) where 1
TBequals=1000
gigabytes, or about a trillion bytes. A survey of prices for
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interpret value of
Rsquared2.
Capacity (in TB)
Price (in $)
0.0800.080
34.4534.45
0.1000.100
36.9936.99
0.2700.270
38.5538.55
0.3400.340
53.9553.95
2.02.0
223.00223.00
3.03.0
292.79292.79
4.04.0
424.79424.79
What is the value of
Upper R squaredR2?
nothing%
(Round to two decimal places as needed.)What...
Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where...
Disk drives have been getting larger. Their capacity is now
often given in terabytes (TB) where 1
TBequals=1000
gigabytes, or about a trillion bytes. A search of prices for
external disk drives on a large shopping website in a recent year
found the accompanying data. The data are known to have a strong,
positive, gently-curved pattern with no outliers. Researchers want
to predict Price from Capacity. Complete parts a) through h)
below.
a) Find the slope estimate,
b 1b1
and...
Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where...
Disk drives have been getting larger. Their capacity is now
often given in terabytes (TB) where 1 TBequals1000 gigabytes, or
about a trillion bytes. A survey of prices for external disk drives
found the data shown to the right. For this data, we want to
predict Price from Capacity.
Capacity: price:
.5 59.00
1 77.45
2 115.00
3 105.95
4 142.45
6 423.95
8 599.79
12 1075.45
32 4463
What is the intercept?
The data in the accompanying table give the prices (in dollars) for gold link chains at...
The data in the accompanying table give the prices (in dollars)
for gold link chains at the Web site of a discount jeweler. The
data include the length of the chain (in inches) and its width
(in millimeters). All of the chains are 14-carat gold in a similar
link style. Use the price as the response. For one explanatory
variable, use the width of the chain. For the second, calculate
the "volume" of the chain as π times its length...
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 accompanying data set provides the closing prices for four stocks and the stock exchange over...
The accompanying data set provides the closing prices for four
stocks and the stock exchange over 12 days:
Date
A
B
C
D
Stock Exchange
9/3/10
127.37
18.34
21.03
15.51
10432.45
9/7/10
127.15
18.18
20.44
15.51
10334.67
9/8/10
124.92
17.88
20.57
15.82
10468.41
9/9/10
127.35
17.95
20.52
16.02
10498.61
9/10/10
128.37
17.82
20.42
15.98
10563.84
9/13/10
128.36
18.64
21.16
16.21
10616.07
9/14/10
128.61
18.83
21.29
16.22
10565.83
9/15/10
130.17
18.79
21.69
16.25
10627.97
9/16/10
130.34
19.16
21.76
16.36
10595.39
9/17/10...
The accompanying data set provides the closing prices for four stocks and the stock exchange over...
The accompanying data set provides the closing prices for four
stocks and the stock exchange over 12 days:
Date
A
B
C
D
Stock Exchange
9/3/10
127.37
18.34
21.03
15.51
10432.45
9/7/10
127.15
18.18
20.44
15.51
10334.67
9/8/10
124.92
17.88
20.57
15.82
10468.41
9/9/10
127.35
17.95
20.52
16.02
10498.61
9/10/10
128.37
17.82
20.42
15.98
10563.84
9/13/10
128.36
18.64
21.16
16.21
10616.07
9/14/10
128.61
18.83
21.29
16.22
10565.83
9/15/10
130.17
18.79
21.69
16.25
10627.97
9/16/10
130.34
19.16
21.76
16.36
10595.39
9/17/10...
The accompanying data set provides the closing prices for four stocks and the stock exchange over...
The accompanying data set provides the closing prices for four
stocks and the stock exchange over 12 days:
Date
A
B
C
D
Stock Exchange
9/3/10
127.37
18.34
21.03
15.51
10432.45
9/7/10
127.15
18.18
20.44
15.51
10334.67
9/8/10
124.92
17.88
20.57
15.82
10468.41
9/9/10
127.35
17.95
20.52
16.02
10498.61
9/10/10
128.37
17.82
20.42
15.98
10563.84
9/13/10
128.36
18.64
21.16
16.21
10616.07
9/14/10
128.61
18.83
21.29
16.22
10565.83
9/15/10
130.17
18.79
21.69
16.25
10627.97
9/16/10
130.34
19.16
21.76
16.36
10595.39
9/17/10...
Listed in the accompanying data table are student evaluation ratings of courses and professors, where a...
Listed in the accompanying data table are student evaluation
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obtained from a population with a normal distribution. a. Use the
93 course evaluations to construct a 99% confidence interval
estimate of the standard deviation of the population from which the
sample was obtained. b. Repeat part (a) using the 93 professor
evaluations. c. Compare the results from part...
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