The following data were collected for a class of 6 students on reading achieveme

Question

The following data were collected for a class of 6 students on reading achievement stanines (Y) at the end of first grade and reading readiness stanines (X) at the end of kindergarten. You want to examine how well the readiness scores predict reading achievement.

Y: 3 2 1 3 5 4

X: 2 2 1 1 3 3

A. Calculate the least square estimates of the intercept and slope of the regression line of Y on X.

B. Specify the regression equation using your calculated estimates.

C. Calculate the predicted values of Y associated with the sample values of X (i.e., calculate ). Make a column of these values and find their sum. ˆi Y

Explanation / Answer

A

B the regression equation is 0.5+1.25X

C

Regression output variables coefficients std. error    t (df=4) p-value Intercept 0.5000 1.0458 0.478 .6575 X 1.2500 0.4841 2.582 .0612

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