Use the information in the display to find the value of the linear correlation c

Question

Use the information in the display to find the value of the linear correlation coefficient r. Determine whether there is significant linear correlation between years of study and lest scores. Use a significance level of 0.05. There are 10 pairs of data. A) r = 0.91; There is no significant linear correlation B) r = 0.83; There is significant linear correlation. C) r = 0.91; There is significant linear correlation. D) r = 0.83; There is no significant linear correlation. Find the explained variation for the paired data. The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is y = 44.8447 + 3.52427x. Find the explained variation. A) 87.4757 B) 498.103 C) 599.2 D) 511.724 The equation of the regression line for the paired data below is y = 3x. Find the unexplained variation. A) 88.75 B) 78.75 C) 14.25 D) 10.00. The equation of the regression line for the paired data below is y =

Explanation / Answer

Answe is option-D as follows:

S.No

X

Y

Y^=44.8447+3.52427*X

(Y^-Ybar)^2=(Y^-67.4)^2

1

5

80

62.46605

24.344

2

2

73

51.89324

240.460

3

9

72

76.56313

83.963

4

6

48

65.99032

1.987

5

10

64

80.0874

160.970

Total

32

337

Explained Sum ofSqaures=

511.724

Mean

6.4

67.4

S.No

X

Y

Y^=44.8447+3.52427*X

(Y^-Ybar)^2=(Y^-67.4)^2

1

5

80

62.46605

24.344

2

2

73

51.89324

240.460

3

9

72

76.56313

83.963

4

6

48

65.99032

1.987

5

10

64

80.0874

160.970

Total

32

337

Explained Sum ofSqaures=

511.724

Mean

6.4

67.4

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