Lab Assignment 6

Questions

6.1 . Do you think that initial knowledge test marks is related to composite performance indicator marks? Is this relationship negative or positive? Display the two variables as a scatterplot, and, based on the plot, answer the questions. Further, identify what would be evidence from the scatterplot of a relationship, and is there such evidence?

Now use scatterplots to determine if any of the other three interval variables (initial knowledge test, composite performance indicator, and knowledge test given as posttest) are related to long-term composite performance indicator marks (the one obtained a month later). That is, produce and interpret scatterplots of initial knowledge marks, posttest knowledge marks, and composite performance indicator marks with long-term composite performance indicator marks.

Which of the three variables appears to have the strongest relationship with long-term composite performance indicator marks? Why did you choose the one you did?

(9 marks)

6.2 . For educators in the workshop determine whether initial knowledge test marks is related to composite performance indicator marks based on the Pearson correlation, r . What proportion of the variance in composite performance indicator marks is predictable from initial knowledge test marks (coefficient of determination: square of r )? How would you describe the effect size: is it small, medium, or large?

To answer the questions, obtain the Pearson correlation, r , between each of the three variables, initial knowledge test, composite performance indicator, and knowledge test given as posttest, and the long-term composite performance indicator marks. Use the significance test of r to determine if any of them are statistically significant.

(6 marks)

6.3 . Obtain the prediction equation (regression equation) for predicting composite performance indicator mark from initial knowledge test mark for educators in the workshop. Indicate the y -intercept for the equation. How does the value for the slope, b , relate to the correlation, r , between the two variables?

6.4 . Two educators, Jerrie Borlund and Lester Companolli, wish to attend the workshops. Jerrie has an initial knowledge test mark of 87, and Lester has one of 54. What would be each person’s estimated composite performance indicator mark in the workshop — predicted from the person’s initial knowledge test mark?

Use the prediction equation you produced for 6.3 to answer this.

(2 marks)

6.5 . Do you think that there is a difference in frequency of educators choosing each of the four field experiences? To justify your answer, conduct a statistical test of the frequencsies based on the null hypothesis that the frequencies are equal in the population.

(3 marks)

Price: $18.74

Solution: The downloadable solution consists of 11 pages, 774 words and 9 charts.
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