Question

2. A researcher is investigating the relationship between economic development (x) and level of religiosity (y) in ten countries. The researcher theorizes that citizens of countries at the lower end of the development scale will profess higher levels of religiosity than will citizens in countries at the higher end of the development scale. Religiosity (y) Economic Development (x) a) is the researcher hypothesizing a positive, negative or no correlation between x and y? Explain. (2 pts) b) In the chart above depict a correlation of - 1 between economic development and level of religiosity and label that line (1). (1 pt) c) In the chart above depict a correlation of +1 between economic development and level of religiosity and label that line (2). (1 pt) d) In the chart above depict a correlation of O between economic development and level of religiosity and label that line (3). (1 pt)

Answer 1

x = economic development Y = Religiosity Given, tower X - higher level of Religiosity higher x = lesser level of religiosity y decreases as x negative correlation between x dy =) . (a) if r=-1 = perfect Y- a - b X Evel relationship. b>o b) Y=a-bx 19 9 9 9 9 9 9 9 9 9 919 relationship. = perfect the (c) de= + byo Y = at by take se yea, then CovlYXl=0 = 1 a constant - Coor(a,x)=0 O if we r=0 -y=a - labd. PPPPPPPP