Reference no: EM132274897

Questions -

Q1. Consider the data points shown

x	1	4	3	2	5	6	0
y	1	3	3	1	4	7	2

Find the equation for the least-squares regression line that fits this data.

A. y^{^} = .364 + .211x

B. y^{^} = .256 + .855x

C. y^{^} = .336 + .361x

D. y^{^} = .536 + .821x

Q2. Given v₁ = 2 and v₂ = 30, find P(F ≥ 5.39).

A. .01

B. .09

C. .03

D. .06

Q3. In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of

A. 0.95

B. 0.90

C. 0.1

D. 0.05

Q4. What's the slope of the line that passes through the points (-5, -8) and (3, 8)?

A. ½

B. -½  

C. -2

D. 2

Q5. A marketing company is trying to determine whether online ads or newspaper ads are more effective. They set up an experiment where customers were assigned to read ads either only online or only in newspapers. Additionally, customers in the online-only and newspaper-only groups were assigned to either read advertisements only while at home or work or only while in public. How many treatments are involved in this experiment?

A. 4

B. 2

C. 16

D. 8

Q6. Which of the following statements are true regarding the simple linear regression model

y = β₀ + β₁x₁ + ε₁

A. y_i is a value of the dependent variable (y) and x_i is a value of the independent variable (x).

B. Β₁ is the y-intercept of the regression line.

C. Β₀ is the slope of the regression line.

D. ε_i is a nonrandom error.

Q7. Random samples of n₁ = 55 and n₂ = 65 were drawn from two populations. The samples yielded

p^{^}₁ = .7 and p^{^}₁ = .6. Test H₀: (p₁ - p₂) = 0 against H₀: (p₁ - p₂) > 0 using α = .05.

A. z = 2.16

B. z = 2.96

C. z = 1.14

D. z = 1.26

Q8. The F-statistic in a one-way ANOVA represents the variation

A. between the treatments plus the variation within the treatments.

B. within the treatments minus the variation between the treatments.

C. within the treatments divided by the variation between the treatments.

D. between the treatments divided by the variation within the treatment

Q9. Construct a 95% confidence interval for

Β₁ if β^{^} = 31, s = 3, SS_XX = 35, and n = 10.

A. 31 ± 1.13

B. 31 ± .92

C. 36 ± 1.84

D. 62 ± 1.36

Q10. An indication of no linear relationship between two variables would be a coefficient of

A. correlation of 0.

B. determination equal to 1.

C. determination equal to -1.

D. correlation of 1.

Q11. Consider the following pairs of measurements:

x	8	5	4	6	2	5	3
y	1	3	6	3	7	2	5

Find the least squares estimates of β₀ and β₁.

A. 8.54; -.994

B. 8.44; -.926

C. 8.22; -.893

D. 8.05; -.889

Q12. In order to conduct a formal statistical test of the hypothesis this entails numerical measures of the difference between the treatment means and the sampling variability within each of the treatments. The variation between the treatment means is measured by the

A. Sum of Squares for Errors (SSE).

B. Sum of Squares for Treatments (SST).

C. Mean Square for Error (MSE).

D. Mean Square for Treatments (MST).

Q13. A "best-fit" mathematical equation for the values of two variables, x and y, is called

A. regression analysis.

B. scatter diagram.

C. errors of prediction.

D. correlation analysis.

Q14. Assume that σ₁² = σ₂² = σ². Calculate the pooled estimator of σ² when S₁² = .15, S₂² = .20, n₁ = 6 and n₂ = 10.

A. .1995

B. .1821

C. .1866

D. .1942

Q15. Given the significance level 0.05, the F-value for the degrees of freedom, df = (3,7) is

A. 8.89.

B. 4.35.

C. 6.16.

D. 4.12.

Q16. In a First-Order (Straight-Line) Probabilistic Model

y = β₀ + β₁x + ε

y represents the _______ variable.

A. dependent

B. independent

C. predictor

D. slope

Q17. A random sample of males and females involved in rear-end accidents results in the Minitab summary shown here.

	N	MEAN	MEDIAN	TRMEAN	STDEV	SEMEAN
FEMALES	33	23.91	20.00	23.38	9.77	1.70
MALES	38	28.87	28.50	28.44	9.67	1.57

What's the value of the test statistic (Z score)?

A. -2.14

B. 2.14

C. 2.32

D. -2.32

Q18. Hospitals must keep enough antibiotics on hand to treat infectious diseases. Researchers want to determine whether the infectious disease rate is higher in some months than in others. To find out, researchers took a sample of 192 hospital patients in January and found 32 were being treated for an infectious disease. In an independent sample of 403 patients admitted in May, 34 were treated for an infectious disease. Find a 90% confidence interval for the difference in the infectious disease admission rates in January and in May.

A. (.033, .133)

B. (.013, .198)

C. (.035, .153)

D. (.066, .179)

Q19. The vertical distances between observed and predicted values of y are called

A. errors of prediction.

B. scatterplots.

C. least square lines.

D. methods of least squares.

Q20. In a paired difference experiment, you get the following results:

n_d = 38, x^-₁ = 92, x^-₂ = 95.5, d^- = -3.5, S_d² = 21.

Determine the values of z for which the null hypothesis µ₁ - µ₂ = 0 would be rejected in favor of the alternative hypothesis μ₁ - μ₂ < 0. Use α = .10.

A. z < - 1.852

B. z < - 1.06

C. z < - 1.96

D. z < - 1.282