Question $26$

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon $148,599$ visits to full$-$

service restaurant chains $($Consumer Reports website, February $11,2022).$ Assume the following data

$($Dataset "RestaurantRatings.xlsx darr $")$ are representative of the results reported. The variable type

indicates whether the restaurant is an Italian restaurant or a seafood$/$steakhouse$.$ Price indicates the

average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall

satisfaction, with higher values indicating greater overall satisfaction. A score of $80$ can be

interpreted as very satisfied.

a$.$ Develop the estimated regression equation to show how overall customer satisfaction is related to

the independent variable average meal price.

Score $=70\mathrm{.}95+0\mathrm{.}512$ Price

Score $=69\mathrm{.}28+0\mathrm{.}559$ Price

Score $=71\mathrm{.}12+0\mathrm{.}545$ Price

Score $=68\mathrm{.}24+0\mathrm{.}623$ Price

Question $27$

b$.$ At the $0\mathrm{.}05$ level of significance, test whether the estimated regression equation developed in part

$($a$)$ indicates a significant relationship between overall customer satisfaction and average meal price.

$t=2\mathrm{.}85$;$p-$value is $0\mathrm{.}003$ ; There is a significant relationship.

$t=3\mathrm{.}16$;$p-$value is $0\mathrm{.}005$ ; There is a significant relationship.

$t=3\mathrm{.}16$; $p-$value is $0\mathrm{.}004$ ; There is a significant relationship.

$t=3\mathrm{.}92$;$p-$value is less than $0\mathrm{.}01$ ; There is a significant relationship.

Question $28$

c$.$ Create a dummy variable called "Italian" that equals $1$ if the restaurant is an Italian restaurant; $0$

otherwise. Develop the estimated regression equation to show how overall customer satisfaction is

related to the average meal price and the type of restaurant.

Score $=68\mathrm{.}21+0\mathrm{.}625$ Price $+3\mathrm{.}04$ Italian

Score $=67\mathrm{.}40+0\mathrm{.}573$ Price $+3\mathrm{.}04$ Italian

Score $=67\mathrm{.}40+0\mathrm{.}482$ Price $+2\mathrm{.}88$ Italian

Score $=66\mathrm{.}25+0\mathrm{.}573$ Price $+3\mathrm{.}08$ Italian