Question

unk food (e g. potato chips) are typically packaged to appeal to children. Can similar packaging of a healthy food product Rerase children's desire to consume the product? The Journal of Consumer Behavior (2011) explored this topic rs randomly selected a sample of 100 school children. Each child was given an apple in the cartoon packaging to rate their willingness to eat the apple. Later, on another day, the children were given carrots with the same type ing with the same cartoon character. To control for order effects, 50 children were given carrots first and apples the remaining 50 children were given apples first and carrots second. All 100 children were asked to rate their ingness to eat the food on the same 5-point scale (1- not willing and S- very willing). In addition, researchers collected willin data, including how often each food is served in the home, how many siblings each child has, and the parent's monthly ncome. Researchers decided to further explore the data by looking at what might influence willingness to.cat.apples The bel ow regression analysis was completed SUMMARY OUTPUT Regression Stadstics Multiple R R Square 0.436166917 0.190241579 0.164936629 1.300499347 100 R Square Standard Error Observations ANOVA MS Regression Residual Total 3 38.14533908 12.715113 7.517958917 0.000142868 96 162.3646609 1.69129855 200.51 Coefficients Standard Errort Stat 2.089973407 0.618189061 3.38079972 0.001046508 Intercept apples served to child in 3 months 0.004878938 0.010967556 0.44485192 0.657428146 number of siblings 0.383612563 0.085558714 4.48361768 2.03209E-05 1. What is the appropriate regression equation based on the above output? a. Willingness to eat apples 2.089 Intercept+ 3836 num siblings b. c. Willingness to eat carrots- 2.089+.0048 apples served +.3836 num siblings+.0066 income d. Willingness to eat apples-2.089+.0048 apples served+3836 num siblings+(-0066) income Willingness to eat carrots-2.089 *Intercept + .0048* apples served +.3836*num siblings 2. Which independent variable(s) significantly predict(s) children's willingness to eat apples(a 05)? a. b. c. d. All three because significance F is less than.05 Apples served in the last 3 months. Both a and b. None of the above. What percentage of variance in willingness to eat apples is accounted for in this model? a. b. c. d. e. 7.51% of the variance in the dependent variable is explained by the independent variable(s) 19.02% of the variance in the dependent variable is explained by the independent variable(s). 19.02% ofthe variance in the independent variable is explained by the dependent variable(s) 38.36% of the variance in the dependent variable is explained by the independent variable(s). 43.61% of the variance in the dependent variable is explained by the independent variables).

Answer 1

Solution1:

From Regression output:

Willingness to eat apples=2.089+0.0048(apples served)+0.3836(nmber of siblings)+(-0.0066)income

OPTION D

Solution2:

F=7.517

p=0.0001

p<0.05

model is signiifcant

OPTION A

solution3:

R sq=0.1902

0.1902*100=19.02% variation in y is explained by model

OPTION B