d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.) Heating area e. What is the 95% confidence interval of heating the area of the wattage is 1,500? (Round your answers to 4 decimal places.)

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Heater Wattage
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1,000
1,750
1,750
750
750
750
750
1,250
1,750
1,000
1,750
1,500
1,500
1,000
1,500
2,000
2,000
1750
750
1,750
Area
179
171
199
195
59
89
73
255
123
48
263
263
248
160
265
29
244
284
141
136
27
n-2
rsquare
t=
0.6389
18
1
SUMMARY OUTPUT
Regression Statistics
Multiple F
0.6389
R Square
0.408176
Adjusted
0.375297
Standard 62.60988
Observati
ANOVA
Regressio
Residual
Total
of
0.408176
2.710623 0.769301
3.523488
20
SS
MS
1 486
48664.5
18 70559.96 3919.998
19 119224.6
Coefficientsandard Err t Stat
P-value Lower 95% Upper 95%ower 95.0%pper 95.0%
Intercept 36.66667 44.27187 0.828216 0.418395 -56.3451 129.6784 -56.3451 129.6784
Wattage 0.109617 0.031111 3.523414 0.002427 0.044255 0.174979 0.044255 0.174979
F gnificance F
12.41444 0.002427
Critical va 2.100922
d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.)
Heating area
e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.)
Transcribed Image Text:Heater Wattage 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1,000 1,750 1,750 750 750 750 750 1,250 1,750 1,000 1,750 1,500 1,500 1,000 1,500 2,000 2,000 1750 750 1,750 Area 179 171 199 195 59 89 73 255 123 48 263 263 248 160 265 29 244 284 141 136 27 n-2 rsquare t= 0.6389 18 1 SUMMARY OUTPUT Regression Statistics Multiple F 0.6389 R Square 0.408176 Adjusted 0.375297 Standard 62.60988 Observati ANOVA Regressio Residual Total of 0.408176 2.710623 0.769301 3.523488 20 SS MS 1 486 48664.5 18 70559.96 3919.998 19 119224.6 Coefficientsandard Err t Stat P-value Lower 95% Upper 95%ower 95.0%pper 95.0% Intercept 36.66667 44.27187 0.828216 0.418395 -56.3451 129.6784 -56.3451 129.6784 Wattage 0.109617 0.031111 3.523414 0.002427 0.044255 0.174979 0.044255 0.174979 F gnificance F 12.41444 0.002427 Critical va 2.100922 d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.) Heating area e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.)
Expert Solution
Step 1

Based on the given Excel output, the equation of the regression model is:

y^=36.66667+0.109617x

where, x denotes the independent variable 'Wattage' and y denotes the dependent variable 'Heating area'.

 

 

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