You are interested in expanding your research to determine if type of Honda or the colour affects sales. The data below represents the annual sales in hundreds of thousands: Small Medium Large Red 54 44 35 Small Medium Large Red The study is replicated for Toyota motor vehicles and the results shown below Blue Green Yellow 40 45 145 Blue 49 50 64 50 Green 96 50 89 64 55 49 Yellow 51 55 48 49 45 64 45 50 64 Combine the data from the two and e. Prepare the analysis of variance table manually (Show ALL workings). Black 76 80 61 Black 68 84 26 f. State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. Confirm your answer using R-Studio. Provide the code used and relevant output tables. h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.)
You are interested in expanding your research to determine if type of Honda or the colour affects sales. The data below represents the annual sales in hundreds of thousands: Small Medium Large Red 54 44 35 Small Medium Large Red The study is replicated for Toyota motor vehicles and the results shown below Blue Green Yellow 40 45 145 Blue 49 50 64 50 Green 96 50 89 64 55 49 Yellow 51 55 48 49 45 64 45 50 64 Combine the data from the two and e. Prepare the analysis of variance table manually (Show ALL workings). Black 76 80 61 Black 68 84 26 f. State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. Confirm your answer using R-Studio. Provide the code used and relevant output tables. h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and homogeneity of variance were violated. Carefully discuss your findings quoting relevant statistics in your response and provide the necessary hypotheses. (Provide the code used and relevant output tables.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please assist with explanations and working to follow for future
Transcribed Image Text:You are interested in expanding your research to determine if type of Honda or the colour affects
sales. The data below represents the annual sales in hundreds of thousands:
Small
Medium
Large
Red
54
44
35
Small
Medium
Large
40
The study is replicated for Toyota motor vehicles and the results shown below
Red
Blue
Green
45
Blue
49
50
64
50
129
64
Green
96
50
89
55
49
49
++6
45
Yellow
51
55
48
64
Yellow
45
50
64
Black
76
80
61
Black
68
84
26
Combine the data from the two and
e. Prepare the analysis of variance table manually (Show ALL workings).
f. State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for
each hypothesis.
g. Confirm your answer using R-Studio. Provide the code used and relevant output tables.
h. Using R-Studio, carry out relevant tests to determine if the assumptions of normality and
homogeneity of variance were violated. Carefully discuss your findings quoting relevant
statistics in your response and provide the necessary hypotheses. (Provide the code used
and relevant output tables.)
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Step 1: Write the given information.
VIEWStep 2: Use the given data to form the excel table and determine the degree of freedom for Anova table.
VIEWStep 3: Determine the sum of squares for two way Anova.
VIEWStep 4: Determine the mean square error, F statistics and Anova table.
VIEWStep 5: Perform hypothesis test for factor type of vehicle and color of vehicle.
VIEWStep 6: Perform hypothesis test for interaction between type and color of vehicle.
VIEWStep 7: Verify your manual calculations for Anova using R studio.
VIEWStep 8: Perform Shapiro-Wilk test for normality on the residuals.
VIEWStep 9: Perform Levene's test for homogeneity of variances.
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