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QUESTION 2 In a research article, the authors mentioned that they used multiple regression to study whether a set of explanatory variables, gender, weight, age,

QUESTION 2

In a research article, the authors mentioned that they used multiple regression to study whether a set of explanatory variables, gender, weight, age, are strongly related to a response variable, blood pressure. The results of their analysis were presented with a set of p-values for testing regression coefficients equal to zero or not in the following table. [There are two correct answers. No partial credit for this question.]

Predictor variables p-value
Gender .090
Weight .008
Age .036

A.

The result indicates that Weight is significantly related to the blood pressure at 1% level of significance.

B.

The result indicates that Age is not significantly related to the blood pressure at 5% level of significance.

C.

The result indicates that Gender is significantly related to the blood pressure at 10% level of significance.

D.

The result indicates that Gender is significantly related to the blood pressure at 5% level of significance.

E.

The result indicates that Weight is not significantly related to the blood pressure at 5% level of significance.

QUESTION 7

Determine the correlation coefficient r rounded to three decimal places?

Gestation

Life Span

8

30

2.1

12

1.3

6

1

3

11.5

25

5.3

12

3.8

10

24.3

40

A.

0.839

B.

-0.839

C.

0.916

D.

0.704

E.

-0.916

3 points

QUESTION 8

Fit the data with the least square regression line with Life span as the dependent variable. Calculate the residual if the Gestation is 8 and round your answer to the nearest whole number.

Gestation

Life Span

8

30

2.1

12

1.3

6

1

3

11.5

25

5.3

12

3.8

10

24.3

40

A.

-12

B.

13

C.

-13

D.

11

E.

-11

3 points

QUESTION 9

The data below are the gestation periods, in months, of randomly selected animals and their corresponding lifespan, in years. What can be said about the correlation between Gestation and Life span?

Gestation

Life Span

8

30

2.1

12

1.3

6

1

3

11.5

25

5.3

12

3.8

10

24.3

40

A.

There is no statistically signficant correlation.

B.

The correlation is not defined.

C.

There is a positive correlation.

D.

None of the above.

E.

There is a negative correlation.

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