Question

In: Biology

From the table below, use a simple linear regression analysis to establish the relationship that may...

From the table below, use a simple linear regression analysis to establish the relationship that may exist between a) number of confirmed cases and deaths; b) number of confirmed cases and number of tests performed; c) number of confirmed cases and number of recoveries; and d) number of deaths and number of recoveries. Briefly discuss these relations.

Date Total confirmed Death Recoveries Test
1-Apr 195 5 3 12046
2-Apr 204 5 3 12046
3-Apr 205 5 3 12046
4-Apr 214 5 3 12046
6-Apr 287 5 3 12046
7-Apr 313 6 3 12046
9-Apr 378 6 4 14611
10-Apr 408 8 4 27348
11-Apr 566 8 4 37954
15-Apr 641 8 83 50719
18-Apr 834 8 83 60916
19-Apr 1042 8 83 68591
22-Apr 1279 10 134 88188
25-Apr 1550 11 155 100622
27-Apr 1671 16 188 106090
28-Apr 2074 17 212 113497
1-May 2169 18 229 117049
2-May 2719 18 294 129461
4-May 3091 18 303 135902
7-May 4012 18 323 149948
8-May 4263 22 378 155201
10-May 4700 22 494 160501
11-May 5127 22 494 162184
12-May 5408 24 514 165433
13-May 5530 24 674 168685
14-May 5638 28 1460 172623
15-May 5735 29 1754 174077
17-May 5918 31 1754 180567
18-May 6096 31 1774 184343
19-May 6269 31 1898 187929
20-May 6486 31 1951 192194
21-May 6617 31 1978 193705
22-May 6683 32 1998 194763
23-May 6809 32 2070 198175
24-May 6964 32 2097 202130
25-May 7117 34 2317 203383

Solutions

Expert Solution

Answer to above questions

Linear regression is a common Statistical Data Analysis technique. It is used to determine the extent to which there is a linear relationship between a dependent variable and one or more independent variables. It is a model that showcases the relationship between two variables.

    Y=a+bX+

where Y= Dependent Variable

        X = Independent Variable

        a = intercept

        b = slope

       = residual error

so according to question 1 relation will be expressed as

Y =no.of confirmed case ,X= no.of deaths

and relation will be Y= a+bX+

According to question 2 relation will be expressed as

Y= no.of confirmed case ,X = no.of test performed

and relation will be same as above Y= a+bX+

According to question no 3 relation will be expressed as

Y= no.of recoveries ,X= no.of confirmed case

and relation will be expressed as Y= a+bX+

According to question no.4 relation will be expressed as

Y= no.of deaths and X = no.of recoveries

and relation will be expressed as Y= a+bX+


Related Solutions

Use the paired dataset given in the below table to conduct a simple regression analysis as...
Use the paired dataset given in the below table to conduct a simple regression analysis as follows: (10 pts) Using these 4 paired data points, fill up the table calculating all of the terms such as (x2, x*y) used in the formulas of this question. Fill up the other column titles on your own and make the calculations. If needed add coloumns. (the table should be written in your answer paper) xi yi xi2 xi*yi 1 2 32 2 1...
Use Simple Linear Regression (excel) on the table below. What is the MAD? Period Month Demand...
Use Simple Linear Regression (excel) on the table below. What is the MAD? Period Month Demand 37 January 7077 38 February 7050 39 March 5430 40 April 5475 41 May 5504 42 June 6246 43 July 6361 44 August 6358 45 September 6379 46 October 6430 47 November 6720 48 December 7107
Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables...
Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and yearly income. a) What is the dependent variable and independent variable for this analysis? Why? b) Use an appropriate plot to investigate the relationship between the two variables. Display the plot. On the same plot, fit a linear trend line including the equation and the coefficient of determination R2 . c) Estimate a simple linear regression model and...
Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables...
Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and income earned per year. c) Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model.                                                            Yearly Income ('000's) Hours Per Week 43.8 18 44.5 13 44.8 18 46.0 25.5 41.4 11.6 43.3 18 43.6 16 46.2 27 46.8...
In a simple linear regression analysis, will the estimate of the regression line be the same...
In a simple linear regression analysis, will the estimate of the regression line be the same if you exchange X and Y? Why or why not?
Simple Linear Regression: Suppose a simple linear regression analysis provides the following results: b0 = 6.000,    b1...
Simple Linear Regression: Suppose a simple linear regression analysis provides the following results: b0 = 6.000,    b1 = 3.000,    sb0 = 0.750, sb1 = 0.500,  se = 1.364 and n = 24. Use this information to answer the following questions. (a) State the model equation. ŷ = β0 + β1x ŷ = β0 + β1x + β2sb1    ŷ = β0 + β1x1 + β2x2 ŷ = β0 + β1sb1 ŷ = β0 + β1sb1 x̂ = β0 + β1sb1 x̂ = β0 +...
Below is the ANOVA table for a linear regression analysis: Source SS df MS Lin Regression...
Below is the ANOVA table for a linear regression analysis: Source SS df MS Lin Regression 75 1 75 Residual 1500 60 25 Total 1575 61 (a) How many people were tested? N = ________ (b) What are the tabled (α = .05) and calculated F-values? Ftabled = ___________ Fcalc = ___________ (c) What are the two possible values for the product moment correlation (r)? r = _______ or _______ (d) Without calculating the interval, will the 95% confidence interval...
In this problem, we will use linear regression and residual analysis to study the relationship between...
In this problem, we will use linear regression and residual analysis to study the relationship between square footage of a house and the home sales price. (a) Go to the course webpage and under Datasets, download the CSV file “homes.csv” and follow the accompanying Minitab instructions. Copy and paste the Fitted Line Plots and the Residual Plots in a blank document. Print these out and attach them to your homework. (b) Based on the fitted line and residual plots for...
Use SPSS to follow the steps below and conduct a simple linear regression of the following...
Use SPSS to follow the steps below and conduct a simple linear regression of the following data: Calories (Xi) Sodium (Yi) 186 495 181 477 176 425 149 322 184 482 190 587 158 370 139 322 175 479 148 375 State your hypotheses (e.g. HA: “calories will significantly predict sodium”) Create a scatterplot of the data. State if the scatterplot appears to contain a linear relationship. Conduct the analysis in SPSS. Include all of the important outputs (e.g. ANOVA...
This week examines how to use correlation and simple linear regression to test the relationship of two variables.
  Discussion 1: Searching for Causes This week examines how to use correlation and simple linear regression to test the relationship of two variables. In both of these tests you can use the data points in a scatterplot to draw a line of best fit; the closer to the line the points are the stronger the association between variables. It is important to recognize, however, that even the strongest correlation cannot prove causation. For this Discussion, review this week’s Learning...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT