Find the 95%95% confidence interval for the average value of net income given that sales are $50.0million$⁢50.0⁢million. Write your answer using interval notation. Round your answer to 1 decimal place.

MATLAB: An Introduction with Applications
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Find the 95%95% confidence interval for the average value of net income given that sales are $50.0million$⁢50.0⁢million. Write your answer using interval notation. Round your answer to 1 decimal place.

An independent auditor is interested in studying the relationship between net income and net sales for large corporations. A random sample of 19 large corporations has
been selected, and the net income and net sales have been recorded. A regression analysis has been performed to estimate the model, and the output is given.
Regression Analysis: Income vs. Sales
The regression equation is
Income = 82.6 +19.5 Sales
Copy Data
S = 386.034 R-Sq = 65.4 %
R-Sq(Adj) = 63.4 %
Net Income = Bo + B₁ Net Sales
Predictor
Constant
Sales
+ Ei
Coef
SE Coef
T
82.6 105.6 0.78 0.445
19.506
3.900 5.00
0.000
Transcribed Image Text:An independent auditor is interested in studying the relationship between net income and net sales for large corporations. A random sample of 19 large corporations has been selected, and the net income and net sales have been recorded. A regression analysis has been performed to estimate the model, and the output is given. Regression Analysis: Income vs. Sales The regression equation is Income = 82.6 +19.5 Sales Copy Data S = 386.034 R-Sq = 65.4 % R-Sq(Adj) = 63.4 % Net Income = Bo + B₁ Net Sales Predictor Constant Sales + Ei Coef SE Coef T 82.6 105.6 0.78 0.445 19.506 3.900 5.00 0.000
Analysis of Variance
Copy Data
Predicted Values for New Observations
Copy Data
Values of Predictors for New Observations
Source
Regression
Residual Error
Total
New Obs
1
DF
SS
MS
F
1 4795849 4795849 32.18
17 2533373 149022
18
7329222
Fit
1057.9 163.6
SE Fit
95 % CI
(712.8, 1403.0)
New Obs
1
Sales
50.0
P
0.000
95% PI
(173.4, 1942.4)
If
If
M
Transcribed Image Text:Analysis of Variance Copy Data Predicted Values for New Observations Copy Data Values of Predictors for New Observations Source Regression Residual Error Total New Obs 1 DF SS MS F 1 4795849 4795849 32.18 17 2533373 149022 18 7329222 Fit 1057.9 163.6 SE Fit 95 % CI (712.8, 1403.0) New Obs 1 Sales 50.0 P 0.000 95% PI (173.4, 1942.4) If If M
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