2. I surveyed 150 adults in the U.S. and asked them how many hours of TV th watched on average per week. I then ran a regression of # of hours of TV on whether or not they were a college graduate (=1 if yes, =0 if no), their age in years, the number of children in their household, and whether or not they live a cold climate (=1 if latitude is greater than 41.2, =0 otherwise). The results fr the regression are shown in the table below. Estimate p-value College Graduate -0.8 0.003 Age 0.1 0.150 Number of Children 0.10 0.521 Cold Climate 1.8 0.047 Intercept -1.23 0.041 (a) What is the dependent variable in this regression? (b) What are the independent variable(s) in this regression? (c) What is the unit of analysis? (d) What is the sample size? (e) What is one binary variable used in this analysis? (f) What is one ratio variable used in this analysis? (g) What is the predicted number of TV hours watched by a 50 year old, colleg graduate, with no children at home who lives in Arizona (warm climate)? (h) What is the predicted number of TV hours watched by a 21 year old, non college graduate, with one child at home, who lives in Minnesota (cold climate (i) What is the predicted effect of having two more children on weekly tv watching? (j) What is the predicted effect of moving from a cold climate to a warm climat on weekly tv watching? (k) Does the coefficient on college graduate reach a standard level of statistica significance? Briefly explain. What does this mean? (1) Does the coefficient on number of children reach a standard level of statistic significance? Briefly explain. What does this mean?
2. I surveyed 150 adults in the U.S. and asked them how many hours of TV th watched on average per week. I then ran a regression of # of hours of TV on whether or not they were a college graduate (=1 if yes, =0 if no), their age in years, the number of children in their household, and whether or not they live a cold climate (=1 if latitude is greater than 41.2, =0 otherwise). The results fr the regression are shown in the table below. Estimate p-value College Graduate -0.8 0.003 Age 0.1 0.150 Number of Children 0.10 0.521 Cold Climate 1.8 0.047 Intercept -1.23 0.041 (a) What is the dependent variable in this regression? (b) What are the independent variable(s) in this regression? (c) What is the unit of analysis? (d) What is the sample size? (e) What is one binary variable used in this analysis? (f) What is one ratio variable used in this analysis? (g) What is the predicted number of TV hours watched by a 50 year old, colleg graduate, with no children at home who lives in Arizona (warm climate)? (h) What is the predicted number of TV hours watched by a 21 year old, non college graduate, with one child at home, who lives in Minnesota (cold climate (i) What is the predicted effect of having two more children on weekly tv watching? (j) What is the predicted effect of moving from a cold climate to a warm climat on weekly tv watching? (k) Does the coefficient on college graduate reach a standard level of statistica significance? Briefly explain. What does this mean? (1) Does the coefficient on number of children reach a standard level of statistic significance? Briefly explain. What does this mean?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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