B. Find a 95% prediction interval for the price of a 1.1-PB drive. Rounded to th
ID: 3154945 • Letter: B
Question
B. Find a 95% prediction interval for the price of a 1.1-PB drive. Rounded to the nearest dollar as needed. A study of external disk drives finds the data in the accompanying table. The least squares line is Price 21.51+0.092 Capacity(GB) with s 9.12 and SE(b) 0.0025, where the values are rounded to the number of decimal places shown. The assumptions and conditions for regression are met. Use this information to complete parts a through c. Click the icon to view the data table. a) Disk drives keep growing in capacity. Some tech experts now talk about Petabyte (PB-1000 TB 1,000,000 GB) drives. What does this model predict that a 1.1-PB drive will cost? Data Table The predicted price for a 1.1-PB drive is S 101,222 (Round to the nearest dollar as needed.) b) Find a 95% prediction interval for the price of a 1.1-PB drive. The prediction interval is (s s Capacity (in GB) | Price (in S) c 60 100 270 320 1000 2500 4000 22.95 25.00 40.99 68.95 112.00 248.00 390.00 (Round to the nearest dollar as needed.) x-1178.57y-129.70 SD(x) 151194 SD(y) 139.03 Print( DoneExplanation / Answer
Regression Analysis
r²
0.996
n
7
r
0.998
k
1
Std. Error
9.119
Dep. Var.
price
ANOVA table
Source
SS
df
MS
F
p-value
Regression
115,566.1233
1
115,566.1233
1389.60
2.62E-07
Residual
415.8258
5
83.1652
Total
115,981.9491
6
Regression output
confidence interval
variables
coefficients
std. error
t (df=5)
p-value
95% lower
95% upper
Intercept
21.5147
4.5059
4.775
.0050
9.9319
33.0975
capacity
0.0918
0.0025
37.277
2.62E-07
0.0855
0.0981
Predicted values for: price
95% Confidence Interval
95% Prediction Interval
capacity
Predicted
lower
upper
lower
upper
Leverage
1,100,000
100,993.10471
94,037.72456
107,948.48486
94,037.68505
107,948.52436
88031.362
Predicted Price = $100993
B. Find a 95% prediction interval for the price of a 1.1-PB drive. Rounded to the nearest dollar as needed. =( $94038, $107949)
Regression Analysis
r²
0.996
n
7
r
0.998
k
1
Std. Error
9.119
Dep. Var.
price
ANOVA table
Source
SS
df
MS
F
p-value
Regression
115,566.1233
1
115,566.1233
1389.60
2.62E-07
Residual
415.8258
5
83.1652
Total
115,981.9491
6
Regression output
confidence interval
variables
coefficients
std. error
t (df=5)
p-value
95% lower
95% upper
Intercept
21.5147
4.5059
4.775
.0050
9.9319
33.0975
capacity
0.0918
0.0025
37.277
2.62E-07
0.0855
0.0981
Predicted values for: price
95% Confidence Interval
95% Prediction Interval
capacity
Predicted
lower
upper
lower
upper
Leverage
1,100,000
100,993.10471
94,037.72456
107,948.48486
94,037.68505
107,948.52436
88031.362
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