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Created: Oct 16, 2018
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Robles, Liliana, Lab 6.

Research Question:Does the Homework average predict the Quiz average?

Explanatory variable: Homework Average        Response variable: Quiz Average

Least-Square line: y=0.23123266-68.118953

Correlation coefficient:r=.055951575 Coefficient of determination:R sq=.031305788

By the results we got, we can see that there is a strong relation between the quiz scores and the homework average, and is also positive. The residualsb from the thegraph are all scattered, which is what we wanted. from the box plot , we can see that there are some outliers. The r squared value thells us the strength of the least regression line.

Result 1: Simple Linear Regression lab 6 (1)   [Info]
Simple linear regression results:
Dependent Variable: Quiz Average
Independent Variable: HW Average
Quiz Average = 68.118953 + 0.23123266 HW Average
Sample size: 34
R (correlation coefficient) = 0.55951575
R-sq = 0.31305788
Estimate of error standard deviation: 6.5269069

Parameter estimates:
ParameterEstimateStd. Err.AlternativeDFT-StatP-value
Intercept68.1189534.6945415 ≠ 03214.510246<0.0001
Slope0.231232660.060551087 ≠ 0323.81880280.0006

Analysis of variance table for regression model:
SourceDFSSMSF-statP-value
Model1621.25415621.2541514.5832550.0006
Error321363.216442.600514
Total331984.4706

Residuals stored in new column: Residuals

Result 2: Simple Linear Regression lab 6 (2)   [Info]

Result 3: Simple Linear Regression   [Info]

Result 4: Boxplot   [Info]