Question

Answer following:

1. After several studies, professor smith concludes that there is a zero correlation between body weight and bad tempers. This means that

2. A traffic safety officer conducted an experiment to determine whether there is a correlation between people's ages and driving were randomly sampled and the following data were collected.

Age: 20 25 45 46 60 65

Speed: 60 47 55 38 45 35

The value of pearson r equals

3. If sy=1, and sx=1, and r=0.6, what will the value of b be?

4. Correlation is the same thing as causation = t/f

5. A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent of body fat following scores were recorded.

Exercise (minutes): 10 18 26 33 44

% Body Fat: 30 25 18 17 14

Assuming the linear relationship holds, the least square regression line for predicting % body fat from the amount of exercise ___

6. What is the probability of rolling two sixes with one roll of a pair of dice ( a six and a six)? =

7. In a positive relationship, =

8. If the regression equation for a data set is Y'=2.650X+11.250, then the value of Y' for X=33 is =

9. Suppose you are going to randomly order individuals A,B,C,D,E, and F. the probability that the first person will be A and the second person will be B is =

10. The probability of drawing an ace followed by a king (without replacement) equals =

Answer 1

1)

After several studies, professor smith concludes that there is a zero correlation between body weight and bad tempers. This means that there is no association between body fat and bad tempers

2)

Answer: The value of Pearson r equals -0.6984

The correlation coefficient value is obtained in excel. the screenshot is shown below,

3)

Answer: b = 0.6

4)

Answer: False.

Correlation doesn't mean correlation.

5)

Answer:

The regression equation is defined as,

Where b0 is the intercept and b1 is the slope of the regression line equation.

The least-square estimate of intercept and slope are obtained in excel. The screenshot is shown below,

6)

Since the rolling two dies are independent events, the probabilities are multiplied using the law of independence of probabilities.

7)

In a positive relationship, = correlation coefficient, r > 0.

8)

9)

Total number of way that six individuals A,B,C,D,E, and F can be ordered is 6! = 720

Now, fixing the first place for A and second place for B, now the remaining 4 individuals can be ordered in 4 places in 4! = 24 ways.

10)

Since the cards are drawn without replacement, using the condition probability law,