STA 2023 โ Linear Regression Project
First find the correct data file. The data file for your project depends on your last name. You
may not choose a different data file. In the data file, the first variable should be used as the
explanatory variable and the second variable should be used as the response variable.
Phase 1: Analysis
Below is a checklist of items you must prepare and submit. Neatness counts โ write and draw
neatly, using graph paper for the graphs, or use a computer to prepare your charts and graphs.
1. Calculate the mean, standard deviation, and 5-number summary for both variables in your
data (two sets total)
2. Create two histograms (one for each variable) using approximately 5-7 bins each โ axis
must be labeled with variable name and scale
3. Create a scatterplot โ axes must be labeled with variable names and scale
4. Calculate the regression equation and write with descriptive variable names, also include
the R2 value
5. Create a residual plot
Phase 2: Conclusions
Type your answers the following questions, using the results from Phase 1 as evidence.
1. Does the distribution of the explanatory variable seem approximately normal? Describe
the modality and skew of the histogram.
2. Does the distribution of the response variable seem approximately normal? Describe the
modality and skew of the histogram.
3. Interpret the meaning of the slope of the model.
4. Interpret the meaning of the y-intercept of the model.
5. Interpret the meaning of the R2 value of the model.
6. Calculate the residual of the first point in the data file. Show all work. Describe the
meaning of this residual.
7. According to the scatterplot, does a linear model seem appropriate to model the data?
8. According to the residual plot, does a linear model seem appropriate to model the data?