(Solved): (a) Determine the estimated multiple linear regression equation that can be used to predict th ...

(a) Determine the estimated multiple linear regression equation that can be used to predict the overall score given the scores for comfort, amenities, and in-house dining. Let \( x_{1} \) represent Comfort. Let \( x_{2} \) represent Amenities. Let \( x_{3} \) represent In-House Dining. \( \begin{array}{llcc}\hat{y}= & x_{1}+ & x_{2}+ & x_{3} \\ \text { Use the } t \text { test to determine the significance of each independent variable. What is the conclusion for each test at the } 0.01 \text { level of significance? If your answer is zero, enter " }\end{array} \) (b) Use the \( t \) test to determine the significance of each independent variable. What is the conclusion for each test at the \( 0.01 \) level of significance? If your answer is zero, ent The \( p \)-value associated with the estimated regression parameter \( b_{1} \) is . Because this \( p \)-value is The \( p \)-value associated with the estimated regression parameter \( b_{1} \) is . Because this \( p \)-value is the level of significance, we the hypothesis that \( \beta_{1}=0 \). We conclude that there \( - \) a relationship between the score on comfort and the overall \( s \) at the \( 0.01 \) level of significance when controlling for the hypothesis that \( \beta_{2}=0 \). We conclude that there a relationship between the score on amenities and the overall score at the \( 0.01 \) level of significance when controlling for the hypothesis that \( \beta_{3}=0 \). We conclude that there - Select your answer-v a relationship between the score on in-house dining and the overall score at the \( 0.01 \) level of significance when controlling for regression equation? Enter a coefficient of zero for any independent variable you chose to remove. \[ \hat{y}=\quad+\quad x_{1}+\quad x_{2}+\quad x_{3} \]