Given the following table, use the matrix method to derive the constant and slope parameters of the sample regression function: Module test mark = f (Weekly study hours). X and Y stand for weekly study hours and module test mark respectively. X (Weekly study hours) Y (Module test mark) 1 40 2 40 3 45 4 60 5 70 6 75
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Given the following table, use the matrix method to derive the constant and slope parameters
of the sample regression function: Module test mark = f (Weekly study hours). X and Y stand
for weekly study hours and module test mark respectively.
X (Weekly study hours) Y (Module test mark)
1 40
2 40
3 45
4 60
5 70
6 75
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- What is the functional form of this equation? What are the advantages and limitations of this functional form? Interpret precisely the coefficients of Px and Py in the regression.Using the data below, what is the slope coefficient from a regression of Quantity on Price? It is probably easiest to use either Gretl or Jamovi as in the powerpoint example. (round your answer to the nearest 0.1, and it can be either positive or negative.) Quantity 17 24 23 39 55 54 60 76 71 80 Price 93 77 62 64 47 35 38 12 29 2Consider the following data regarding students' college GPAs and high school GPAs. The estimated regression equation is Estimated College GPA=1.85+0.4743(High School GPA).Estimated College GPA=1.85+0.4743(High School GPA). GPAs College GPA High School GPA 3.843.84 2.562.56 3.573.57 3.903.90 2.072.07 3.143.14 4.004.00 3.223.22 3.873.87 2.882.88 2.212.21 2.082.08 Copy Data Step 1 of 3 : Compute the sum of squared errors (SSE) for the model. Round your answer to four decimal places.
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