Score: 0 of 1 pt 5 of 5 (2 complete) ? HW Score: 40%, 2 of 5 pt 14.4.30-T E Ques

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Score: 0 of 1 pt 5 of 5 (2 complete) ? HW Score: 40%, 2 of 5 pt 14.4.30-T E Question Help Suppose a government department would like to investigate the relationship between the cost of heating a home during the month of February in the Northeast and the home's square footage. The accompanying data set shows a random sample of 10 homes Construct a 90% confidence interval to estimate the average cost in February to heat a Northeast home that is 2,800 square feet. Click the icon to view the data table. Determine the upper and lower limits of the co UCL = LCL $ Round to two decimal places as needed.) Heating Square Heating Square Cost (S) Footage Cost (S) Footage 460 340 2,430 290 2,450 310 2.010 250 2,250 310 2,340 2,640 340 2,250 3,120 320 2,510 360 2,920 380 PrintDone Enter your answer in the edit fields and then click Check Answer All parts showing Clear All Check Answer 7:55 PM ? 7/20/2018

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Square Footage
Independent Variable: Square Footage
Square Footage = 0 + 1 Square Footage
Sample size: 10
R (correlation coefficient) = 1
R-sq = 1
Estimate of error standard deviation: 0

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

UCL = $ 2800

LCL = $ 2800

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 0 0 ? 0 8 NaN NaN Slope 1 0 ? 0 8 Infinity NaN

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