Question

MCQs from 13 to 21 refer to the following information:

Using the following sample data for variables x and y:

X	1	2	3	4	5
Y	2	4	5	8	9

What is the sample correlation coefficient between age of car and maintenance cost?

Select one:

a. 0.98

b. 0.89

c. -0.98

d. -0.89

What is the null and alternative hypothesis to test that there is a positive correlation between the two
variables in the population?

Select one:

a. H₀: ρ=0 H_A ∶ ρ < 0

b. H₀: ρ=0 H_A ∶ ρ > 0

c. H₀: ρ=0 H_A ∶ ρ ≠ 0

d. H₀: ρ > 0 H_A ∶ ρ < 0

What is the critical value for the above test at 0.05 significance level?

Select one:

a. 5.8408

b. 3.1824

c. 2.3534

d. 0.7649

What is the test statistics of the above data?

Select one:

a. 8.52

b. 85.2

c. 1.21

d. 12.84

What is the decision about the given hypothesis at?

Select one:

a. Reject H_o

b. Do not Reject H_o

c. None

What is the slope of the regression equation for the above data?

Select one:

a. 8.10

b. -1.80

c. 1.80

d. 0.18

What is the intercept of the regression equation for the above data?

Select one:

a. 11.0

b. 0.20

c. -0.20

d. -11.0

What will be the dependent variable when independent variable is 6?

Select one:

a. 11.0

b. -10.6

c. 12.0

d. -12.0

Answer 1

1)

correlation coefficient r=

Sxy/(√Sxx*Syy) =

0.98

2)

b. H0: ρ=0 HA ∶ ρ > 0

3)

0.05 level,right tail test and n-2= 3 df, critical t=	2.3534

4)

d. 12.84

5)a. Reject Ho

6) slope:c. 1.80

7) b. 0.20

8)

predicted val=0.2+6*1.8=

11.000