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 4 120 12 8 7 14 6 140 120 180 190 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, EX², EY, ΣY2 and ΣXY (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 α = 0.05 and make the decision for each hypothesis. (5 marks) - i. 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)
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 4 120 12 8 7 14 6 140 120 180 190 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, EX², EY, ΣY2 and ΣXY (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 α = 0.05 and make the decision for each hypothesis. (5 marks) - i. 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)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
120
12
8
7
14
6
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, EX², EY, ΣY2 and ΣXY (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 α = 0.05 and
make the decision for each hypothesis. (5 marks)
-
i. 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)
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
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman