SLR Assignment

A second grade teacher at Lakewood Elementary School believes that IQ and reading time are related to a student’s overall school performance. With these thoughts in mind, the teacher conducted a study using 22 students in her second-grade class. The student’s IQ was available to the teacher and during a PTA meeting, parents were given a questionnaire in which they were asked to report the average amount of time per week (in hours) that they spend reading with their children. At the end of the school year, each student’s letter grades for the entire year were used to calculate an overall grade point average (GPA).

The data is presented below. Use SPSS to help you answer the following questions.

Note: You may copy and paste the data in SPSS but make sure the data is entered correctly. Data entry errors automatically reduce you one letter grade (i.e., 10 points).

Hours IQ GPA

2 75 2.12

5 99 3.00

15 105 4.00

1 80 2.00

3 100 2.56

0 90 1.73

7 110 3.91

12 115 3.77

2 100 2.12

6 100 3.55

10 110 3.85

8 108 3.12

5 100 3.68

2 99 2.22

7 105 3.50

0 70 1.68

14 120 4.00

7 114 3.86

9 110 4.00

1 95 1.84

5 100 3.50

7 101 3.70

4 100 3.33

10 140 3.88

3 103 2.98

Part I:

Let’s suppose you are interested in developing the simple linear least squares regression line to the data to determine if hours reading is a statistically significant predictor for overall school performance. Assuming that all assumptions are tenable, conduct the analyses needed to determine if there are any outliers and influential points by considering the following statistics in your analyses: SDRESID, COOK’S D, and standardized DFBETA for the intercept and slope: Use the lower limit as the criteria for the appropriate statistics and use the .05 level of significance when appropriate. Take the first 3 places after the decimal – no rounding.

In addition, on the SPSS data file for the outliers and influence statistics, evaluate each statistic considering the first 3 decimal places – no rounding (i.e., SDR_1 = .10789 = .107).

If any observations exceed the criteria, delete the observations by deleting the entire row. Show your work and report the observations that you deleted (i.e., observation 12):

Part II:

Re-run the regression analysis with the new data set in SPSS (with the observations that you identified in Part I deleted) and answer the following questions. Report (do not calculate unless asked) all information from SPSS – do not use any tables unless specifically asked.

Note: Be sure to answer all parts to a question. For example, I will be looking for 4 responses for question #3.

1. For your variables of interest, report descriptive statistics (i.e., mean, median, standard deviation, and sample size). Based on this statistical information, describe the shape of your distributions (i.e., approximately normally distributed, negative, or positive skew).
2. Report and interpret the correlation between the variables of interest.
3. Write the null and alternative hypotheses of no relationship between
   the two variables in the population (use correlation notation). Make a decision about the null hypothesis, provide statistical evidence for your decision, and make a final conclusion within the context of this problem (i.e., begin your conclusion with ‘There is sufficient evidence (or insufficient evidence)… Always use this language for final conclusions).
4. Report the regression line that relates the two variables. Interpret the slope and intercept, if appropriate.
5. Report and interpret the appropriate effect size statistic.
6. Write the null and alternative hypotheses of no relationship between
   the two variables in the population (use regression notation). Make a decision about the null hypothesis, provide statistical evidence for your decision, and make a final conclusion within the context of this problem.
7. Report the 95% confidence interval for the population slope from SPSS. Interpret this interval within the context of this problem.
8. Calculate this interval by hand (you may take the statistics from the output and from the appropriate table to put in the equation for the confidence interval). Show your work.
9. Make a decision about your interval using the confidence interval results only . Provide statistical evidence for your decision, using the confidence interval results only . Make a final conclusion within the context of this problem.

Price: $29.01

Solution: The downloadable solution consists of 16 pages, 1301 words and 14 charts.
Deliverable: Word Document