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SCENARIO 13-6
One of the Most Common Questions of Prospective

question 112

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SCENARIO 13-6
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y) .To provide its customers with information on that matter, a large real estate firm used the following 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X1 ) and the amount of insulation in inches ( X 2 ) .Given below is EXCEL output of the regression model.  Regression Statistics  Multiple R 0.5270 R Square 0.2778 Adjusted R Square 0.1928 Standard Error 40.9107 Observations 20\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.5270 \\\text { R Square } & 0.2778 \\\text { Adjusted R Square } & 0.1928 \\\text { Standard Error } & 40.9107 \\\text { Observations } & 20 \\\hline\end{array}\\\end{array}
 ANOVA  df  SS  MS F Significance F  Regression 210943.01905471.50953.26910.0629 Residual 1728452.60271673.6825 Total 1939395.6218\begin{array}{lrrrrr}\text { ANOVA }\\\hline&\text { df } & \text { SS } & \text { MS } & F & \text { Significance F }\\\hline\text { Regression } & 2 & 10943.0190 & 5471.5095 & 3.2691 & 0.0629 \\\text { Residual } & 17 & 28452.6027 & 1673.6825 & & \\\text { Total } & 19 & 39395.6218 & & &\end{array} 13-22 Multiple Regression  Coefficients  Standard Error  t Stat  P-volue  Lower 95%  Upper 95%  Intercept 448.292590.78534.93790.0001256.7522639.8328 Temperature 2.76211.23712.23270.03935.37210.1520 Insulation 15.940810.06381.58400.131637.17365.2919 Also SSR(X1X2) =8343.3572 and SSR(X2X1) =4199.2672\begin{array}{l}\begin{array} { l r r r r r r } \hline & \text { Coefficients } &{ \text { Standard Error } } & { \text { t Stat } } & \text { P-volue } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 448.2925 & 90.7853 & 4.9379 & 0.0001 & 256.7522 & 639.8328 \\\text { Temperature } & - 2.7621 & 1.2371 & - 2.2327 & 0.0393 & - 5.3721 & - 0.1520 \\\text { Insulation } & - 15.9408 & 10.0638 & - 1.5840 & 0.1316 & - 37.1736 & 5.2919 \\\hline\end{array}\\\text { Also } \operatorname { SSR } \left( X _ { 1 } \mid X _ { 2 } \right) = 8343.3572 \text { and } \operatorname { SSR } \left( X _ { 2 } \mid X _ { 1 } \right) = 4199.2672\end{array}
-Referring to SCENARIO 13-6, what is the 95% confidence interval for the expected change in heating costs as a result of a 1 degree Fahrenheit change in the daily minimum outside temperature?


Definitions:

Therapeutic Factors

Therapeutic factors are elements within therapy that contribute to the healing process, such as empathy, understanding, and support from the therapist, as well as group cohesion in group therapy.

Perceptions

The process of organizing and interpreting sensory information to form an understanding of the environment or a situation.

Casualties

Individuals who are injured, killed, or otherwise incapacitated as a result of accidents, violence, or disasters.

Intimacy

A close, familiar, and affectionate personal relationship that involves emotional, physical, or intellectual connection.

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