3. (10 marks rota!) Let's say that, with the provincial elections coming up in Ontario, the NDP is concerned about its ability to reach younger voters. As a researcher on the campaign team, you decide to examine the correlation between age (in years) and feeling toward the NDP (on a scale from 0 to 100), using a hypothetical dataset. a. b. 5'\" Which of these variables is the independent variable, and which is the dependent vaIiable? 1 mark State a nondirectional research hypothesis and the corresponding null hypothesis. Be sure to label each one correctly. 2 marks Look at the table of 10 randomly selected survey respondents on the following page. Please nd the sum of products, sum of squares for age, and sum of squares for feeling toward the conservative party. Refer to the example on slide 46 from Lecture 9 if you need help. Feel free to complete the table by hand or in Excel or a similar spreadsheet program. Be sure to copy and paste your work into your homework document so we can see what you did. 3 marks 1 41 80 2 39 69 3 45 47 4 35 69 5 31 50 6 54 31 7 33 23 8 34 20 9 58 50 10 65 92 Calculate Pearson's correlation coefcient. Be sure to show your work. Recall the formula for Pearson's correlation coefficient below. I mark E(x:-x)(vi- 37) JFK: E(xi-x)2\\/E(yi- 302 Would you say this relationship is weak, moderate, or strong? I mark Is this relationship positive or negative? What does this indicate in the context of these two variables? 2 marks 3"