Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.  Test A (x) 43   65 73 34 99 78 65 Test B (y) 39 60 62 20 85 70 54   n = 7  x values = 457      y values = 390        x-squared values = 32669  y-squared values = 24406  (xy) values = 28186  (r) 0.983 Using a 0.05 level of significance, test the claim that there is a linear correlation between x and y.     Ho and H1    The value of r, the test statistic from part 1 above    The critical value    Your decision to reject Ho or accept Ho    Find the linear regression line for this data.       m, the slope      b, the y-intercept   Your regression line written in y = mx + b form, with m and b rounded to three decimal places     If a student scored a 53 on Test B, what would his corresponding score be on Test A?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. 

Test A (x)

43

 

65

73

34

99

78

65

Test B (y)



39

60

62

20

85

70

54

 

n = 7

 x values = 457    

 y values = 390      

 x-squared values = 32669

 y-squared values = 24406

 (xy) values = 28186

 (r) 0.983

Using a 0.05 level of significance, test the claim that there is a linear correlation between x and y.  

  Ho and H1 

  The value of r, the test statistic from part 1 above 

  The critical value 

  Your decision to reject Ho or accept Ho 

 

Find the linear regression line for this data.  

    m, the slope 

    b, the y-intercept 

 Your regression line written in y = mx + b form, with m and b rounded to three decimal places 

 

 If a student scored a 53 on Test B, what would his corresponding score be on Test A?

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