Problem
Conduct a regression analysis for the following data.
• Test the hypothesis that X is a good predictor of Y and explain why or why not.
• Explain the various parameters of the linear equation.
• Explain the strength of the model using the regression model and also using a correlation analysis
• Show the linear line on the scatter plot graph and the linear equation.
• Determine the predicted value of Y given X is 93.1.
• Plot the normal probability plot and the residual plot vs X. What do you infer from them?
X Y
78.4 -9
89.9 -18.2
54.2 -33.5
58.3 -25.6
98.3 -1.5
57.8 -9
63.7 4.1
66 -35.2
67.1 -20.3
97.3 -40.3
76.5 0.3
86.1 -16.1
62.7 -8.7
81.9 -5.5
88 -14.9
60.9 -19.8
60.7 0.9
70.1 -38.5
86.7 -5.8
94.4 -33.7
61.5 -38.4
72.4 -26.2
63.9 -3.1
97.4 -43.6
The response must include a reference list. Using Times New Roman 12 pnt font, double-space, one-inch margins, and APA style of writing and citations.