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 ΣX,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 5 grams? In responding, state the null hypothesis(es), the decision rule for a make the decision for each hypothesis. (5 marks) 0.05 and i. j. Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks) 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 ΣX,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 5 grams? In responding, state the null hypothesis(es), the decision rule for a make the decision for each hypothesis. (5 marks) 0.05 and i. j. Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks) Find and interpret a 95% confidence interval for the calories when the the amount of sugar is 10 grams. (4 marks) TOTAL: 95 MARKS
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...
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 ΣX,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
5 grams? In responding, state the null hypothesis(es), the decision rule for a
make the decision for each hypothesis. (5 marks)
0.05 and
i.
j.
Find and interpret a 90% confidence interval for the slope of the regression line. (4 marks)
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 with 1 images
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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