1 A regression line of the final exam grade y and midterm e

1 ) A regression line of the final exam grade, y, and midterm exam grade, x, is presented as: y = 50 +0.5x

Regarding to the equation above, which of following statement interprets the slope?

A. A student who gets 50 points from the midterm would be assumed to score 75 points on the final exam.

B. A student who gets 4 points greater than another student on the midterm would be assumed to get 1 point greater than that student on the final exam.

C. A student who gets 100 points from the midterm would be assumed to score 100 points on the final exam.

D. None of the above

2) An article studied on Vitamin C indicates that Vitamin C decreases the risk of getting cold. Thereupon, a researcher comes up with an idea by saying that Vitamin C tends to show better results in an experiment comparing to a placebo, however, the difference is not significantly larger than what can be described by chance. Which of the following refers to the researcher’s statement?

A. The results are due to non-sampling errors.

B. The results are totally due to chance.

C. The results are statistically significant.

D. The results are statistically insignificant.

3) The frequency distribution table for the incomes of part-time employees is given as:

Income ($)

Frequency

700-800

56

801-900

64

901-1000

87

1001-1100

79

1101

50

Regarding to the table above, which of the following represents the relative frequency distribution table?

Income ($)

Relative Frequency

700-800

56

801-900

120

901-1000

207

1001-1100

286

1101

336

Income ($)

Relative Frequency

700-800

16.67%

801-900

35.71%

901-1000

61.61%

1001-1100

85.12%

1101

100.00%

Income ($)

Relative Frequency

700-800

0.1667

801-900

0.1905

901-1000

0.2589

1001-1100

0.2351

1101

0.1488

Income ($)

Relative Frequency

700-800

17.49%

801-900

18.26%

901-1000

26.75%

1001-1100

20.54%

1101

13.98%

                 

Income ($)	Frequency
700-800	56
801-900	64
901-1000	87
1001-1100	79
1101	50

Solution

(1)

A regression line of the final exam grade, y, and midterm exam grade, x, is presented as: y = 50 +0.5x

Regarding to the equation above,

(A) A student who gets 50 points from the midterm would be assumed to score 75 points on the final exam. this statement interprets the slope

(2)

An article studied on Vitamin C indicates that Vitamin C decreases the risk of getting cold. Thereupon, a researcher comes up with an idea by saying that Vitamin C tends to show better results in an experiment comparing to a placebo, however, the difference is not significantly larger than what can be described by chance.

The results are statistically insignificant.this statement refers to the researcher’s statement

(3)

0.1667

Income	Relative frequency
700-800	0.1667
801-900	0.1905
901-1000	0.2589
1001-1100	0.2351
1101	0.1488