Work sheet #5   STA 2023

 

For each hypothesis test, tell Ho, Ha, critical value (from the table), calculated value (round to the same number of places as the critical value), decision (reject Ho or Fail to reject Ho), and if there is significant linear correlation. DRAW EACH!!

 

1)      Test for linear correlation with a = .01

         1          3          3          5

        6          8          8          10

 

2)      a) Give the equation of the regression line for #1.

b) Predict  when  

 

3)      Test for linear correlation with a = .05

         1          2          3          5          5         

        19        12        4          20        18

 

4)      a) Give the equation of the regression line for #3. (values to the nearest tenth).

b) Predict  when

 

5)      Test for linear correlation with a = .05 for these supermodels.

Height (in.)       71        70.5     71        72        70        70        66.5     70        71

Weight (lb.)      125      119      128      128      119      127      105      123      115

 

6)      a) Give the equation of the regression line for #5.(values to nearest tenth)

b) Predict weight when height is 68 in.

 

7)      Test for linear correlation with a = .01 for discarded plastic

Plastic (lb.)       0.27     1.41     2.19     2.83     2.19     1.81     0.85     3.05

Household size   2           3         3          6          4          2          1          5

 

8)      a) Give the equation of the regression line for #7.(values to nearest thousandth).

b) Predict household size when plastic discarded is 2 lb.(to whole #)

 

9)      Test for linear correlation with a = .05 for age and blood alcohol content at time of arrest for DUI.

Age      17.2     43.5     30.7     53.1     37.2     21.0     27.6     46.3     22.4     29.1

BAC    0.19     0.20     0.26     0.16     0.24     0.20     0.18     0.23     0.14     0.18

 

10)  a) Give the equation of the regression line for #9.(values to nearest thousandth).

b) Predict blood alcohol content for age 34.