Question

C1-T C2 c3 c4 C7 CB SEX AGE cs Св FOOT LE... SHOE PR... SHOE SIZE HEIGHT 27.8 31.3 11.0 180.3 25.7 29.7 9.0 175.3 1 M 67 2 M 47 3 M 41 26.7 31.3 11.0 184.8 4 M 42 25.9 10,0 177.8 31.8 314 5 M 48 26.4 10.0 182.3 6 M 34 29.2 13.0 185.4 31.9 31.8 7 M 26 26.8 11.0 180.3 8 M 29 28.1 175.3 31.0 29.7 10.5 9.5 9 M 60 25.4 177.8 10 M 48 27.9 31.4 110 185.4 190.5 11 M 30 31.4 11.0 27.5 28.8 12 M 43 316 12.0 195.0 13 M 54 26.7 10.0 175.3 318 324 14 M 31 26.7 10.5 180.3 M 42 25.1 27.6 9.0 172.7 15 16 M 21 28.7 31.8 12.5 182.9 17 M 59 29. 2 31.3 11.0 1892 18 M 58 313 11.5 185.4 27.9 28.6 19 M 42 34,5 14.0 193.7 20 F 47 232 24.8 7.0 165.1

Answer 1

Note : Allowed to solve only 4 question in one post.

Question 1 :

Dependent variable : it is the variable which is predicted.
shoe size

Independent variable : it is the varible which is used to predict the other variable.
Height

Correct option : c. The dependent variable is the shoe size and the independent variable is height.

Question 2:

141 14 13 12 11 Y Values 10 9 8 7 150 160 170 180 190 X Values

Note in the plot

the x variable is height
the y variable is shoe size

Correct option : d: There appears to be a positive linear corerlation.

Question 3:

Sample Size, n: 40 Degrees of Freedom: 38 Correlation Results: Correlation coeff, r: 0.77919 Critical r: +0.31201 P-value (two-tailed): 0.00000

We are given the correlation = p = 0.7792 sample size = n = 40 Hypothesis p=0 P#0 Find the t critical value a=1-CI=1-0.95 = 0.05 a/2 = 0.05/2 = 0.025 tcritical value value is found for p = 0.025 and df = n-2 = 38 tcritical = 2.0243942 Tstatistic tstat (2-0)(1-2) (0.7792–0) (40-2) 7.6635 V1-0.77397 Using t distribution table we find the pvalue with df = n-2 = 38 pvalue = 0 Since pvalue is less 0.05, we Reject the null hypothesis. Conclusion: We conclude that the correlation between the two variable is signficant

Value of the test statistic of correlation = 7.6635

Question 4:
Pvalue of the test of linear correlation=0.0000

Question 5:
Conslusion of the test.

Correct option : b. With a signficance level of 0.05, there is enough evidence to establish a linear correlation between shoe size and height