Question help would like to rvestigate the relationship between the cost of heat

Question

Question help would like to rvestigate the relationship between the cost of heating a home during the morth of Febrary in Pe Noheast and Pe hore's soare to rhebemarygda rows a random sarpie ot 10 homes Construct a 90% orfdence merval to estimate the average cost n February to heat a Northeast home hat s 2400 square care cobvew the data table. Dehermine the upper and lower limits of the confidence interval UCL LCL Round to two decimal places as needed.) Enter your answer in the edit Selds and then cick Check Answer. Clear Al 9 5 6 3 WE

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Heating Cost
Independent Variable: Square Footage
Heating Cost = 103.45456 + 0.094232799 Square Footage
Sample size: 10
R (correlation coefficient) = 0.60227121
R-sq = 0.36273061
Estimate of error standard deviation: 42.766379

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

UCL = $ 355.80

LCL = $ 303.42

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 103.45456 110.74247 ? 0 8 0.93419048 0.3775 Slope 0.094232799 0.044159742 ? 0 8 2.1339074 0.0654

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