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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Question 148

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β0 + β1X1 + β2X2 + β3X3 + β4X4 + ε,where Y is the amount of time (in minutes),X1 is the income of the individual (in thousands of dollars),X2 is the age of the individual,X3 is the number of people living in the household,and X4 is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 17.2 + 3.8x1 - 1.04x2 + 2.15x3 + 15.1x4, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 5.3, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 0.13, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 0.33, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 1.51, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + β<sub>4</sub>X<sub>4</sub> + ε,where Y is the amount of time (in minutes),X<sub>1</sub> is the income of the individual (in thousands of dollars),X<sub>2</sub> is the age of the individual,X<sub>3</sub> is the number of people living in the household,and X<sub>4</sub> is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results: = 17.2 + 3.8x<sub>1</sub> - 1.04x<sub>2</sub> + 2.15x<sub>3</sub> + 15.1x<sub>4</sub>, = 5.3, = 0.13, = 0.33, = 1.51, = 4.7,SSR = 164.2,SSE = 200.7,and R<sup>2</sup> = 0.45. -Test H<sub>0</sub> : β<sub>4</sub> = 0 against H<sub>1</sub> : β<sub>4</sub> ≠ 0 and interpret your result.
= 4.7,SSR = 164.2,SSE = 200.7,and R2 = 0.45.
-Test H0 : β4 = 0 against H1 : β4 ≠ 0 and interpret your result.

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t = blured image
(j = 1,2,... ,K)
t = blured image
= 3.21
Sinc

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