Question

1) A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:

y=ax+b
a=-0.867
b=23.731
r2=0.403225
r=-0.635

Use this to predict the number of situps a person who watches 3 hours of TV can do (to one decimal place)

2)Based on the data shown below, calculate the regression line (each value to two decimal places)

y = ____x + ____

x	y
3	7.4
4	6.78
5	7.76
6	5.84
7	3.22
8	5.4
9	4.28
10	3.16
11	2.04
12	0.92
13	1.1

3)Here is a bivariate data set.

x	y
32.6	75.7
31.7	56.8
46.1	69.1
41.8	57.6
33.4	60.6
26.6	70.6
39.5	72.5
47.5	62.4
22.8	85.4
35.3	55.2
54.2	52.5
29.7	61.1
37.3	80.2
55.5	44.2
36.8	54.2
47.8	60.6
33.8	74.7

Find the correlation coefficient and report it accurate to three decimal places.
r =

4)Suppose you were to collect data for the following pair of variables, all elementary-school students: weight, score on a reading test. You want to make a scatterplot. Which variable would you use as the explanatory variable?

• weight
• score on a reading test

Which variable would you use as the response variable?

• weight
• score on a reading test

Would you expect to see a positive or negative association?

• positive
• negative
• neither

5)At the .05 significance level, does the data below show significant correlation?

x	y
4	29.1
5	20.5
6	28.1
7	29.3
8	32
9	33.1
10	33.3
11	36.5

• Yes, significant correlation OR
• No

Answer 1

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