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 =0.02=0.02.

Interest in General Academics Interest in English Classes Interest in Studying Mathematics Interest in General Academics Interest in English Classes Interest in Studying Mathematics 44.1 55.4 54.3 39.9 46.9 47.4 42.8 56 68 57.3 70.8 56.2 62.9 63.6 58.6 71.2 42.1 54.8 69.9 60.1 36.7 39.7 44.8 42.3 51.1 48.5 68 72.4 39.5 GROUP- GROUP- 1 2 Year-8 Year-10 Students Students 47.6 55.8 58 47.2 54.1 58.3 54.3 43.6 37.4 48.2 52.7 32.8 53.4 67.2 64.6 47.4 51.5 72 58.7 47.3 33.3 34.8 50.5 47.6 45.1 50.7 59.7 38.8 52.6 49.9 46.3 59.8 60.1 51.9 57.7 56.9 48.6 65.1 44.6 54.3 67.7 65.1 50.2 64.2 73.6 65.5 57.1 34.9 49.3 70.9 45.3 39.9 78.2 49.9 49.8 70.3 45.9 65.1 37 67 61.6 70.8 44.3 45.8 69.7 49.8 45.3 64.6 37.8 60.9 59 49.2 53 48.5 56.9 43.3 39.1 40 30.1 43.2 42.5 57.8 64.3 83 61.8 68.8 62.5 61.1 44 67.5 66.8 (1a) When examining the first group (year-8), what is the estimated value for the influence (slope) of interest in general academics when predicting interest in mathematics (when running the regression include both interest in English classes and interest in general academics as the independent variables)? (Report answer accurate to 3 decimal places.) (1b) What is the p-value for this slope? (Report answer accurate to 4 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 O no (2a) Using the same regression output as above, what is the estimated value for the influence (slope) of 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 from zero? Oyes Ono (3a) When examining the second group (year-10), what is the estimated value for the influence (slope) of interest in general academics when predicting interest in mathematics (when running the regression include both interest in English classes and interest in general academics as the independent variables)? (Report answer accurate to 3 decimal places.) (3b) What is the p-value for this slope? (Report answer accurate to 4 decimal places.) (3) Using the results from part 3b, is the influence of interest in general academics on interest in mathematics statistically significantly different from zero? Oyes O no (4a) Using the same regression output as above, what is the estimated value for the influence (slope) of interest in English 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? O yes O no