( 1a) When examining the firsa group (ynar what is the esimated value for the influence ogeol intres in general academics when gredicing irterest in mathematics faten running the regression include both interest in Erglish classes and interest in general academics as the independert variobles? Report anwer accurate to 3 decimal places) ( 1b) Whatis the pvalue for this slope? (Report answer accurate to 4 decimal places) (1c) Using the resits from part 1, is the influence of interesa in general academics on incerest in mathematics satistically signilicantly different from zero? Oyes Ono

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A previous researcher has published a report demonstrating that students' interest in studying mathematics is related to his or her interest in general academics. Furthermore, this researcher also claimed that interest in studying English-
related subjects (literature, journalism, etc.) was not related to interest in mathematics. However, after reading the article, you believe the findings contradict your experience, and you believe there was a methodological flaw in the analysis. In
particular, you believe it was necessary for the researcher to have accounted for another variable: school year.
Your plan is to collect a small data set from 2 groups of students. Your research questions are based around the hypothesis that the relationship between interest in mathematics and interest in both academics & English subjects is
moderated by school year.
Using the same measurement scales for interest as the first researcher, you collect data from two groups. The first group is all year-8 students. The second group is all year-10 students. You will now run a multiple regression analysis using
the interest in general academics and English classes as the independent variables and interest in mathematics as the dependent variable. For this analysis, you should use a significance level of a
0.02.
Interest in
Interest in
Interest in
Interest in
Interest in
Interest in
General
Studying
Mathematics
General
English
English
Classes
Studying
Mathematics
Academics
Classes
Academics
68.1
45.2
46.4
68.7
52.5
55.6
52.4
38.2
44.4
62.7
45.7
62.8
63.2
60.7
48
57.5
40.9
55.7
52.2
48.3
54.4
53.7
46.9
62.8
48.8
56.3
54.2
72.2
43.5
56.3
53
42.7
46.9
74.6
52.4
53
55.7
60.9
43.6
50.3
43.5
55
59.5
63.7
47.1
57.1
51.5
43.2
GROUP-1
GROUP-2
50
44.8
34.6
60.7
53.9
51.3
Year-8 Students Year-10 Students
69.9
62.8
48.5
67.8
46.8
63.1
51.9
40.6
33.4
57.7
55.5
53.3
53.3
58
52.6
46.7
61.3
42.1
53.3
53
47.7
70.3
47.1
56.6
56.3
47.8
42.7
57.4
32.8
61.2
70.1
62.7
51.9
68.4
53.7
57.1
48.5
49.9
44.6
68.5
40.8
52.2
45.2
67.2
54.1
56.6
52.5
60.6
60.1
38.4
37.7
77.8
40.2
72.3
61.5
65.2
63.7
54.2
54.6
46.4
55.4
57.2
53.3
72.6
47.8
62
Transcribed Image Text:A previous researcher has published a report demonstrating that students' interest in studying mathematics is related to his or her interest in general academics. Furthermore, this researcher also claimed that interest in studying English- related subjects (literature, journalism, etc.) was not related to interest in mathematics. However, after reading the article, you believe the findings contradict your experience, and you believe there was a methodological flaw in the analysis. In particular, you believe it was necessary for the researcher to have accounted for another variable: school year. Your plan is to collect a small data set from 2 groups of students. Your research questions are based around the hypothesis that the relationship between interest in mathematics and interest in both academics & English subjects is moderated by school year. Using the same measurement scales for interest as the first researcher, you collect data from two groups. The first group is all year-8 students. The second group is all year-10 students. You will now run a multiple regression analysis using the interest in general academics and English classes as the independent variables and interest in mathematics as the dependent variable. For this analysis, you should use a significance level of a 0.02. Interest in Interest in Interest in Interest in Interest in Interest in General Studying Mathematics General English English Classes Studying Mathematics Academics Classes Academics 68.1 45.2 46.4 68.7 52.5 55.6 52.4 38.2 44.4 62.7 45.7 62.8 63.2 60.7 48 57.5 40.9 55.7 52.2 48.3 54.4 53.7 46.9 62.8 48.8 56.3 54.2 72.2 43.5 56.3 53 42.7 46.9 74.6 52.4 53 55.7 60.9 43.6 50.3 43.5 55 59.5 63.7 47.1 57.1 51.5 43.2 GROUP-1 GROUP-2 50 44.8 34.6 60.7 53.9 51.3 Year-8 Students Year-10 Students 69.9 62.8 48.5 67.8 46.8 63.1 51.9 40.6 33.4 57.7 55.5 53.3 53.3 58 52.6 46.7 61.3 42.1 53.3 53 47.7 70.3 47.1 56.6 56.3 47.8 42.7 57.4 32.8 61.2 70.1 62.7 51.9 68.4 53.7 57.1 48.5 49.9 44.6 68.5 40.8 52.2 45.2 67.2 54.1 56.6 52.5 60.6 60.1 38.4 37.7 77.8 40.2 72.3 61.5 65.2 63.7 54.2 54.6 46.4 55.4 57.2 53.3 72.6 47.8 62
(1a) When examining the first group (year-B), what is the estimated value for the influence (slepe of interest in general academics when predicting interest in mathematics ivfen rurvning the regression include both interest in English ciasses and
interest in general academics as the indeperndert variables?
(Report answer accurate to 3 decimal places.)
( 1b) What is the p-value for this slope?
(Report answer accurate to 4e
decimal places.)
( 1c) Using the results from part 1b, is the influence of interest in general academics on interest in mathematics statistically significantly different from zero?
Oyes
Ono
( 2a) Using the same regression output as above, what is the estimated value for the influence slopel af interest in English classes when predicting interest in mathematics?
(Report answer accurate to 3 decimal places.)
( 2b) What is the p-value for this slope?
(Report answer accurate to 4 decimal places.)
(2c) Using the results from part 2b, is the influence of interest in English classes on interest in mathematics statistically significantly different fram zero?
Oyes
Ono
( 3a) When examining the second group (year-10), what is the estimated value for the influence (slopel of interest in general academics when predicting interest in mathematics (when running the regression include both interest in English classes
and interest in general acadermics as the independent variatles?
(Report answer accurate to 3 decimal places.)
( 3b) What is the p value for this slope?
(Report answer accurate to 4 decimal places.)
( 3c) Using the results from part 30, is the influence of interest in general academics on interest in mathematics statistically significanly different from zero?
Oyes
Ono
( 4a) Using the same regression output as above, what is the estimated value for the influence slopel af interest in Engish classes when predicting interest in mathematics?
(Report answer accurate to 3 decimal places.)
( 4b) What is the p value for this slope?
(Report answer accurate to 4 decimal places.)
( 4c) Using the results from part 4b, is the influence of interest in English classes on interest in mathematics statistically significantly different from zero?
Oyes
Ono
Transcribed Image Text:(1a) When examining the first group (year-B), what is the estimated value for the influence (slepe of interest in general academics when predicting interest in mathematics ivfen rurvning the regression include both interest in English ciasses and interest in general academics as the indeperndert variables? (Report answer accurate to 3 decimal places.) ( 1b) What is the p-value for this slope? (Report answer accurate to 4e decimal places.) ( 1c) Using the results from part 1b, is the influence of interest in general academics on interest in mathematics statistically significantly different from zero? Oyes Ono ( 2a) Using the same regression output as above, what is the estimated value for the influence slopel af interest in English classes when predicting interest in mathematics? (Report answer accurate to 3 decimal places.) ( 2b) What is the p-value for this slope? (Report answer accurate to 4 decimal places.) (2c) Using the results from part 2b, is the influence of interest in English classes on interest in mathematics statistically significantly different fram zero? Oyes Ono ( 3a) When examining the second group (year-10), what is the estimated value for the influence (slopel of interest in general academics when predicting interest in mathematics (when running the regression include both interest in English classes and interest in general acadermics as the independent variatles? (Report answer accurate to 3 decimal places.) ( 3b) What is the p value for this slope? (Report answer accurate to 4 decimal places.) ( 3c) Using the results from part 30, is the influence of interest in general academics on interest in mathematics statistically significanly different from zero? Oyes Ono ( 4a) Using the same regression output as above, what is the estimated value for the influence slopel af interest in Engish classes when predicting interest in mathematics? (Report answer accurate to 3 decimal places.) ( 4b) What is the p value for this slope? (Report answer accurate to 4 decimal places.) ( 4c) Using the results from part 4b, is the influence of interest in English classes on interest in mathematics statistically significantly different from zero? Oyes Ono
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