Question

Consider the following data sample from the Consumer Report on Restaurant Satisfaction. The variable TYPE indicates...

Consider the following data sample from the Consumer Report on Restaurant Satisfaction. The variable TYPE indicates whether the restaurant is Italian or Seafood/steakhouse. The variable PRICE indicates average amount paid per person for dinner and drinks (in dollars). The variable SCORE reflects overall customer satisfaction, with a value of 100 indicating completely satisfied.  A regression analysis is conducted in several steps to find out whether type of restaurant and price explains Score (customer’ satisfaction).

Restaurant

Price ($)

Score

Type of restaurant

Bertucci's

16

77

Italian

Black Angus

24

79

Seafood/Steak

Bonefish Grill

26

85

Seafood/Steak

Bravo!cuccina italiana

18

84

Italian

Buca di Beppo

17

81

Italian

Bugaboo Steak House

18

77

Seafood/Steak

Carrabba's Italian grill

23

86

Italian

Brown's Steakhouse

17

75

Seafood/Steak

Il Fornaio

28

83

Italian

Joe's crab Shack

15

71

Seafood/Steak

Johnny Carino's Italian

17

81

Italian

Lone Star SteakHouse

17

76

Seafood/Steak

Longhorn steakhouse

19

81

Seafood/Steak

Maggio's little Italy

22

83

Italian

McGrath's Fish House

16

81

Seafood/Steak

Oliven Graden

19

81

Italian

Outback Steakhouse

20

80

Seafood/Steak

Red Lobster

18

78

Seafood/Steak

Romano's macorroni grill

18

82

Italian

The old spaguetti factory

12

79

Italian

Uno Chicago Grill

16

76

Italian

6. Report the statistical significance of the coefficients for MODEL 2?

MODEL 2 - Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

67.405

3.053

22.075

.000

Price

.573

.155

.602

3.710

.012

DType

3.038

1.155

.427

2.630

.057

a. Dependent Variable: Score

7. How important you think the variable DTYPE is in explaining SCORE?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(6) Statistical significance of the coefficients for MODEL 2

Variable Price has a p value of 0.012. This value is less than 0.05 significance level, so the variable Price is statistically significant.

Variable Dtype has a p value of 0.057. This value is more than 0.05 significance level, so the variable Dtype is not statistically significant.

(7) We can see that the variable Dtype has a p value of 0.057. This shows that the p value is more than 0.05 significance level, so the variable Dtype is not statistically significant.

Therefore, we can say that the variable DTYPE is not important in explaining SCORE as it is not significant.

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