Please answer part a, b , and C Place a box for the answer The number of pounds
ID: 3221314 • Letter: P
Question
Please answer part a, b , and CPlace a box for the answer The number of pounds of steam per by a chemical plant is thought to be related to the average ambient temperature (in "F for that month. The past year's usage and temperature are shown in the following table. Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 July 68 621.55 675.06 Feb. 24 Aug. 74 214.47 Sept. 62 562.03 32 288.03 41 369.95 454.58 June 59 539.03 I Dec. 30 27398 The following output is from Minitab: Predictor Coef SE Coef Constant 6.336 1.668 3.80 0.003 9.20836 0.03377 272.64 0.000 Temp 1.94284 R-sq 100.08 R-Sq (adj) 100.08
Explanation / Answer
Answer:
a). 334.3739
b). (332.3261, 336.4217)
c). (327.8849, 340.8629)
Regression Analysis
r²
1.000
n
12
r
1.000
k
1
Std. Error
1.943
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
280,583.1194
1
280,583.1194
74334.36
1.08E-20
Residual
37.7461
10
3.7746
Total
280,620.8655
11
Regression output
confidence interval
variables
coefficients
std. error
t (df=10)
p-value
99% lower
99% upper
Intercept
-6.3355
1.6676
-3.799
.0035
-11.6207
-1.0503
x
9.2084
0.0338
272.643
1.08E-20
9.1013
9.3154
Predicted values for: y
99% Confidence Interval
99% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
37
334.37389
332.32609
336.42169
327.88492
340.86287
0.111
Regression Analysis
r²
1.000
n
12
r
1.000
k
1
Std. Error
1.943
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
280,583.1194
1
280,583.1194
74334.36
1.08E-20
Residual
37.7461
10
3.7746
Total
280,620.8655
11
Regression output
confidence interval
variables
coefficients
std. error
t (df=10)
p-value
99% lower
99% upper
Intercept
-6.3355
1.6676
-3.799
.0035
-11.6207
-1.0503
x
9.2084
0.0338
272.643
1.08E-20
9.1013
9.3154
Predicted values for: y
99% Confidence Interval
99% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
37
334.37389
332.32609
336.42169
327.88492
340.86287
0.111