Question

Data below is for females age 25- 30 years and the measurement of their body fat

ID	Amount of Body Fat	Triceps Skinfold Thickness	Thigh Circumference	Midarm Circumference
1	19.5	43.1	29.1	11.9
2	24.7	49.8	28.2	22.8
3	30.7	51.9	37	18.7
4	29.8	54.3	31.1	20.1
5	19.1	42.2	30.9	12.9
6	25.6	53.9	23.7	21.7
7	31.4	58.5	27.6	27.1
8	27.9	52.1	30.6	25.4
9	22.1	49.9	23.2	21.3
10	25.5	53.5	24.8	19.3
11	31.1	56.6	30	25.4
12	30.4	56.7	28.3	27.2
13	18.7	46.5	23	11.7
14	19.7	44.2	28.6	17.8
15	14.6	42.7	21.3	12.8
16	29.5	54.4	30.1	23.9
17	27.7	55.3	25.7	22.6
18	30.2	58.6	24.6	25.4
19	22.7	48.2	27.1	14.8
20	25.2	51	27.5	21.1

a. Enter the data from the table into SPSS.

b. Identify the dependent and independent variables.

c. Conduct correlation analysis between each independent variable and the dependent variable. Describe the correlation and test the significance of the correlations. State hypotheses.

d. For significant correlations conduct simple linear regression analysis. Write out the regression equations, giving an interpretation of each.

Answer 1

a. Enter the data from the table into SPSS.

b. Identify the dependent and independent variables.

The dependent variable is Amount of Body Fat.

The independent variables are Triceps Skinfold Thickness, Thigh Circumference & Midarm Circumference.

c. Conduct correlation analysis between each independent variable and the dependent variable. Describe the correlation and test the significance of the correlations. State hypotheses.

There is a significant correlation between the Amount of Body Fat and Midarm Circumference.

There is a significant correlation between the Amount of Body Fat and Triceps Skinfold Thickness.

There is a significant correlation between the Amount of Body Fat and Thigh Circumference.

d. For significant correlations conduct simple linear regression analysis. Write out the regression equations, giving an interpretation of each.

y = 0.887 x - 20.059

For every additional Triceps Skinfold Thickness, the Amount of Body Fat will increase by 0.887.

y = 0.631 x + 7.891

For every additional Thigh Circumference, the Amount of Body Fat will increase by 0.631.

y = 0.830 x + 8.552

For every additional Midarm Circumference, the Amount of Body Fat will increase by 0.830.