For questions 43-46, refer to the following study and the SAS output below:Breakfast is one of the most important meals of the day. Skipping breakfast has been reported to be associated with increased disease risk, such as obesity, diabetes, and coronary heart disease, as well as unhealthy lifestyle and lower dietary quality. While breakfast cereals are a convenient choice, they are highly processed, often packed with added sugar and refined carbohydrates. The best cereals are high in fiber and low in sugar. Researchers conducted a study to examine the nutritional quality of 77 individual varieties of cereal. They collected nutrient information from the nutrition labels of cereals in a supermarket, including fat (g), sodium (mg), protein (g), fiber (g), sugars (g), and other carbohydrates (g).Using a 0.05 significance level, you need to examine which of these nutrients are most predictive of the number of calories in the cereal. LettersA, B, C, D, andEindicate missing numbers from the SAS output

Analysis of Variance

Sum ofMean

SourceDFSquaresSquareF ValuePr > F

ModelAB4499.58024C<.0001

ErrorDE26.49238

Corrected Total7628852

Root MSE5.14707R-Square0.9357

Dependent Mean106.88312Adj R-Sq0.9302

Coeff Var4.81561

Parameter Estimates

ParameterStandard

VariableDFEstimateErrort ValuePr > |t|

Intercept1-0.764634.43739-0.170.8637

fat18.559440.6680412.81<.0001

sodium10.001870.007700.240.8089

carbo14.118870.2238118.40<.0001

fiber10.295830.340360.870.3877

sugars13.994700.1800222.19<.0001

protein13.613320.703215.14<.0001

43.What type of analysis is this?

a.ANCOVA

b.Linear regression

c.Logistic regression

d.One-way ANOVA

Two-way ANOVA

44.How many model degrees of freedom (A) are there in this problem?

a.1

b.6

c.7

d.69

e.70

45.What percentage of the variation in calories can be explained by the linear association between calories and the collection of variables given in this problem?

a.26.5%

b.86.5%

c.87.6%

d.93.0%

e.96.4%

46.What is the best predicted number of calories for a cereal with 2g of fat, 3g of protein, 190mg of sodium, 1g of sugar, 3g of fiber, and 16 g of other carbohydrates?

a.93.6

b.98.3

c.106.9

d.869.0

e.Cannot be determined from the given information