Question

In: Statistics and Probability

Listed below are the results from two different tests designed to measure achievement. (x) test A...

Listed below are the results from two different tests designed to measure achievement.

(x) test A	64	48	51	59	60	43	41	42	35	50	45
(y) test B	91	68	80	92	91	67	65	67	56	78	71

a. Plot the scatter diagram below. Label X and y axes. Do a rough sketch.

b. Find the value of the linear correlation coefficient r by the TI83 shortcut- state calculator screen name.

C. Test the claim of no linear relation by the ti83 p -value method, apha = 0.05

Claim:

Null Hypothesis:

Alternative Hypothesis:

Calculator Screen Name in Ti 183:

test statistics:

Pvalue/alpha conversion

decision:

Conclusion:

d. find the estimated equation of the regression line by Ti 83 shortcut.

e. plot the regression line on the scatter diagram in part a).

f. assuming a significant linear correlation, predict the score a student would get on Test B, given he got a 85 on test A.

g. what percentage of the total variation can be explained by the regression line?

Solutions

Expert Solution

a) scatter diagram as below :

e) Regression line on scatter diagram

X=85

Y=10.5880 + 1.3188*85

= 122.686

r^2 = 0.9745^2 = 0.94965

94.965 % of explained variation determined by the regression line

orchestra answered 1 year ago

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