The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 6 varieties of granola bars.Sugar (grams) 4 12 8 7 14 6 Calories 120 140 120 180 190 80 a. Decide which variable should be the independent variable and which should be thedependent variable. Justify your decision. (2 marks) e. Write down the regression equation. (1 mark)f. Find and interpret the coefficient of determination. (3 marks)g. Use the 10% level of significance to examine whether the independent variable is a goodpredictor for the dependent variable. In responding, state the null hypothesis(es), thedecision rule and make the decision for each hypothesis. (5 marks)h. Would the simple regression be useful in predicting calories given the amount of sugar of 5 grams? In responding, state the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (5 marks)
The following table gives information on the amount of sugar (in grams) and the calorie count in
one serving of a sample of 6 varieties of granola bars.
Sugar (grams) 4 12 8 7 14 6
Calories 120 140 120 180 190 80
a. Decide which variable should be the independent variable and which should be the
dependent variable. Justify your decision. (2 marks)
e. Write down the regression equation. (1 mark)
f. Find and interpret the coefficient of determination. (3 marks)
g. Use the 10% level of significance to examine whether the independent variable is a good
predictor for the dependent variable. In responding, state the null hypothesis(es), the
decision rule and make the decision for each hypothesis. (5 marks)
h. Would the simple regression be useful in predicting calories given the amount of sugar of
5 grams? In responding, state the null hypothesis(es), the decision rule for α = 0.05 and
make the decision for each hypothesis. (5 marks)
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