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3. We are interested in studying the relationship between severity of COVID 19 and economic growth. The severity of COVID was measured by the average no of patients reported in year 2021 per million of population and economic growth was measured as GDP growth rate. A random sample of 5 counties has been chosen and the table below shows the information on both of the variables: COVID severity index GDP Growth County no (%) 1 500 300 3-х 3 100 1 4 800 -2 5 1000 -4 а) Which of the two is independent variable and which of the two is dependent variable? b) kind (form, strength and direction) of the relationship do you observe between these variables? Explain Sketch the scatter plot between COVID severity and economic Growth. What 4 c) Find the equation of straight line and interpret the slope coefficient and intercept. d) Find the R-square of the regression and interpret it. Find the predicted value of Growth rate for the county with 700 cases per e) million in year 2021. Is the answer reliable? Explain. f) Find the observation with largest residual. Do you think there exist a causal relationship between the variables? Explain. g)

3. We are interested in studying the relationship between severity of COVID 19 and economic growth. The severity of COVID was measured by the average no of patients reported in year 2021 per million of population and economic growth was measured as GDP growth rate. A random sample of 5 counties has been chosen and the table below shows the information on both of the variables: COVID severity index GDP Growth County no (%) 1 500 300 3-х 3 100 1 4 800 -2 5 1000 -4 а) Which of the two is independent variable and which of the two is dependent variable? b) kind (form, strength and direction) of the relationship do you observe between these variables? Explain Sketch the scatter plot between COVID severity and economic Growth. What 4 c) Find the equation of straight line and interpret the slope coefficient and intercept. d) Find the R-square of the regression and interpret it. Find the predicted value of Growth rate for the county with 700 cases per e) million in year 2021. Is the answer reliable? Explain. f) Find the observation with largest residual. Do you think there exist a causal relationship between the variables? Explain. g)

Linear Algebra: A Modern Introduction
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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Q3, just parts d, e, f.

(posted a, b, c  as a different question)

3. We are interested in studying the relationship between severity of COVID 19 and economic growth. The severity of COVID was measured by the average no of patients reported in year 2021 per million of population and economic growth was measured as GDP growth rate. A random sample of 5 counties has been chosen and the table below shows the information on both of the variables: COVID severity index GDP Growth County no (%) 1 500 2 300 3-х 3 100 1 4 800 -2 1000 -4 а) Which of the two is independent variable and which of the two is dependent variable? b) Sketch the scatter plot between COVID severity and economic Growth. What kind (form, strength and direction) of the relationship do you observe between these variables? Explain 4 c) Find the equation of straight line and interpret the slope coefficient and intercept. d) Find the R-square of the regression and interpret it. Find the predicted value of Growth rate for the county with 700 cases per e) million in year 2021. Is the answer reliable? Explain. Find the observation with largest residual. Do you think there exist a causal relationship between the variables? Explain. g)
Transcribed Image Text:3. We are interested in studying the relationship between severity of COVID 19 and economic growth. The severity of COVID was measured by the average no of patients reported in year 2021 per million of population and economic growth was measured as GDP growth rate. A random sample of 5 counties has been chosen and the table below shows the information on both of the variables: COVID severity index GDP Growth County no (%) 1 500 2 300 3-х 3 100 1 4 800 -2 1000 -4 а) Which of the two is independent variable and which of the two is dependent variable? b) Sketch the scatter plot between COVID severity and economic Growth. What kind (form, strength and direction) of the relationship do you observe between these variables? Explain 4 c) Find the equation of straight line and interpret the slope coefficient and intercept. d) Find the R-square of the regression and interpret it. Find the predicted value of Growth rate for the county with 700 cases per e) million in year 2021. Is the answer reliable? Explain. Find the observation with largest residual. Do you think there exist a causal relationship between the variables? Explain. g)
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