Perform Statistical Inference for Multiple Regression $$S = 10.6075 \quad \mathrm { R } - \mathrm { Sq } = 84.4 \% \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } \mathrm { j } ) = 83.3 \%$$

question 6

Short Answer

Perform statistical inference for multiple regression.
-What affects flat panel LCD TV sales? Flat panel LCD TV's are sold through a
Variety of outlets. Sales figures (number of units) for the popular Sony Bravia were
Obtained for last quarter from a sample of 30 different stores. Also collected were data
On the selling price and amount spent on advertising the Sony Bravia (as a percentage of
Total advertising expenditure in the previous quarter) at each store. Output is shown
Below. The correct null and alternative hypotheses for testing the regression coefficient
Of Price is $\begin{array} { l r r r r } \text { Dependent variable is } & \text { Sales } & & \\ & & & & \\ \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 90.19 & 25.08 & 3.60 & 0.001 \\ \text { Price } & - 0.03055 & 0.01005 & - 3.04 & 0.005 \\ \text { Advertising } & 3.0926 & 0.3680 & 8.40 & 0.000 \end{array}$
$$S = 10.6075 \quad \mathrm { R } - \mathrm { Sq } = 84.4 \% \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } \mathrm { j } ) = 83.3 \%$$
A. $H _ { 0 : } : \beta _ { \mathrm { P } } \neq 0$ vs. $\mathrm { H } _ { \mathrm { A } : } \beta _ { \mathrm { P } } = 0$
B. $\mathrm { H } _ { 0 : } \beta _ { \mathrm { P } } \geq 0$ vs. $\mathrm { H } _ { \mathrm { A } } : \beta _ { \mathrm { P } } < 0$
C. $\mathrm { H } _ { 0 } : \beta _ { \mathrm { P } } \leq 0$ vs. $\mathrm { H } _ { \mathrm { A } } : \beta _ { \mathrm { P } } > 0$
D. $\mathrm { H } _ { 0 : } \beta _ { \mathrm { P } } = 0$ vs. $\mathrm { H } _ { \mathrm { A } : } \beta _ { \mathrm { P } } \neq 0$
E. $\mathrm { H } _ { 0 }$ : The regression is not significant vs. $\mathrm { H } _ { \mathrm { A } }$ : The regression is significant.

---

Definitions:

Location Difficulties

Challenges associated with the geographical positioning of a business that could impact its success or operations.

Economic Condition

The state of an economy at a given time, including factors like inflation, unemployment, and growth rates.

City

A large human settlement generally characterized by significant population density, economic activities, and a developed infrastructure.

State

Refers to a politically organized body of people under a single government, or a specific condition or mode of being.