Question

20:29 LTE X statistics assessmen... . Given the following scatterplet, select the answer that mest accurately describes the relationship between the variables x andy. Give a brief (one-sentence) explanation of your choice a The variables x and y have a positive linear comelation b. The variables x and y have a negative linear correlution . The variables x and y have a noninear relationship d. There is no relationship between x and y. 2. A group of researchers want to determine the relutionshig between a child's height () in inches and head circumference tiv) in inches. Based on a random sample, they find hat the relationship can be modeled with the linear negression equation 0.18x1249 เช่ achild is 30 nches tall, predict his or hei headcreuerence. Show how you obtained your answer

Answer 1

1. Here we see that there is decreasing trend in the graph, which means for every increase in x there is corresponding decrease in y. Also we see that if line passes through all the points, many points will fall on the line, hence it is linear correlation.

Hence it is liner negative correlation between x and y.

So answer here is b. The variable x and y have a negative linear correlation

2. Here equation is

y = 0.18 * x+ 12.49

Now for height of child, x=30,

y = 0.18 * x + 12.49 = (0.18 * 30) + 12.49 17.89