StatCrunch logo (home)

Report Properties

from Flickr
Created: Oct 17, 2018
Share: yes
Views: 139
Results in this report
Data sets in this report
Need help?
To copy selected text, right click to Copy or choose the Copy option under your browser's Edit menu. Text copied in this manner can be pasted directly into most documents with formatting maintained.
To copy selected graphs, right click on the graph to Copy. When pasting into a document, make sure to paste the graph content rather than a link to the graph. For example, to paste in MS Word choose Edit > Paste Special, and select the Device Independent Bitmap option.
You can now also Mail results and reports. The email may contain a simple link to the StatCrunch site or the complete output with data and graphics attached. In addition to being a great way to deliver output to someone else, this is also a great way to save your own hard copy. To try it out, simply click on the Mail link.
Blanco, Nereida, Lab 6
Mail   Print   Twitter   Facebook

Research question: Does homework average have an existing correlation with the quiz average of students?

Explanatory variable: Homework Average

Response variable: Quiz Average 

Least-squares line equation: ^y= 0.23123266x + 68.118953

Correlation coefficient (r): 0.55951575

Coefficient of determination (R^2): 0.31305788

After interpreting residuals plot and box plot, I can say that the linear model in this case is moderately appropriatebased on its coefficients and the fact that the residual plot has no pattern but is instead consistent with the plots being scattered across. As for the outliers, there are two outliers on both ends of the data which do have effect on the overal linear correlation but did not affect it enugh like to make it non- linear since it does have moderate relation after all.

My interpretation of the R^2 value is that it is accurate as to the data and results from both variables being correlated. Given that R^2 was 0.3 (rounded), it shows itis far from being perfect linear since it is not close to the value of 1 and for it applying to the least-squares regression line, it can apply but males it more of a moderate rather than a stron or perfect relation.

Result 1: Least-squares Simple Linear Regression   [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:

Residuals stored in new column: Residuals

Result 2: Least-squares Simple Linear Regression   [Info]
Right click to copy

Result 3: Least-squares simple Linear Regression   [Info]
Right click to copy

Result 4: Boxplot of Residuals   [Info]
Right click to copy

HTML link:
<A href="">Blanco, Nereida, Lab 6</A>

Want to comment? Subscribe
Already a member? Sign in.

Always Learning