Question 3 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) Calories 4 12 8 7 14 6 120 140 120 180 190 80 a. Decide which variable should be the independent variable and which should be the dependent variable. Justify your decision. (2 marks) b. Compute X,ΣX², EY, Y² and XY (5 marks) c. Find and interpret the slope of the regression line. (3 marks) d. Find and interpret the intercept of the regression line. (3 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 i. 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) Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks) j. Find and interpret a 95% confidence interval for the calories when the the amount of sugar is 10 grams. (4 marks) TOTAL: 95 MARKS
Question 3 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) Calories 4 12 8 7 14 6 120 140 120 180 190 80 a. Decide which variable should be the independent variable and which should be the dependent variable. Justify your decision. (2 marks) b. Compute X,ΣX², EY, Y² and XY (5 marks) c. Find and interpret the slope of the regression line. (3 marks) d. Find and interpret the intercept of the regression line. (3 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 i. 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) Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks) j. Find and interpret a 95% confidence interval for the calories when the the amount of sugar is 10 grams. (4 marks) TOTAL: 95 MARKS
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
Related questions
Question
Transcribed Image Text:Question 3
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)
Calories
4
12
8
7
14
6
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)
b. Compute X,ΣX², EY, Y² and XY (5 marks)
c. Find and interpret the slope of the regression line. (3 marks)
d. Find and interpret the intercept of the regression line. (3 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
i.
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)
Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks)
j. Find and interpret a 95% confidence interval for the calories when the the amount of sugar
is 10 grams. (4 marks)
TOTAL: 95 MARKS
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell