Given are five observations collected in a regression study on two variables.X;26 913 20Y₁9 19 7 26 21(a) Develop a scatter diagram for these data.yy30-25●2015105X30252015105-05101520255(b) Develop the estimated regression equation for these data.ŷ =(c) Use the estimated regression equation to predict the value of y when x = 2.0●1015|20X25y30252015E105X0510152025y3025201510-5-0510●152025Xi

Solution-: Given data: X Y 2 9 6 19 9 7 13 26 20 21 We want to (a) Draw the scatter…

Answered: Given are five observations collected…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q. 5 A random sample of nine custom homes provided the following data on size and price. X denotes size in hundreds of square feet and y denotes price in thousands of dollars. Predict the price of a 2600-sq ft house using the regression equation. 26 27 33 29 29 34 30 40 22 Y 540 555 575 577 606 661 738 804 496 b,= Exy -((En)()/) I x2 - CEx)Z Formula : Σ in Consturct Table for al pars Using totas ¥ numbers ofrom the table firch: 676 26 540 9 - b, t bix To find predictad price for 26v0 sq.6t. house, substitule 26 in ý equation. Tatals Answer =
2. A study is conducted in patients with HIV. The primary outcome is CD4 cell count which is a measure of the stage of the disease. Lower CD4 counts are associated with more advanced disease. The investigators are interested in the association between vitamin and mineral supplements and CD4 count. A multiple regression analysis is performed relating CD4 count to use of supplements(coded as l ves, 0-no) and to duration of HIV, in years(ie., the number of years between the diagnosis of HIV and the study date). For the analysis, Y-CD4 count. Y 501.41 12.67 Supplements - 30.23 Duration of HIV A. What is the expected CD4 count for a patient taking supplements who has had HIV for 2.5 years? B. What is the expected CD4 count for a patient not taking supplements who was diagnosed with HIV at study enrollment? C. What is the expected CD4 count for a patient not taking supplements who has had HIV for 2.5 years
5. The National Center for Health Statistics published data on heights and weights. We obtained the following data from 10 randomly selected males 8-12 years of age. * y Height 69 Weight 151 72 154 70 160 200 Weight go IGO Regression Equation: Correlation r = 67 153 140 (20 O 75 201 66 126 a. If the researcher uses "Height" to predict "Weight" then the response variable is weight b. Use your calculator to create a scatter plot. Copy the scatter plot below (draw it). Make sure to label the horizontal axis and vertical axis, and provide the minimum and maximum values (displayed on your graph on your calculator) on each axis.. 70 174 71 185 60 70 Height 80 c. Is the association between the two variables positive or negative, or no association? (circle one) 68 143 g. Identify the slope of the regression line: and mention both men's heights and weights.)" d. Use your calculator to find the regression line (or line of best fit) and the correlation r. (Make sure something has a hat on it.) 65…
1. Correlation analysis is used to determine the equation of the regression line b. a specific value of the dependent variable for a given value of the independent variable the strength of the relationship between the dependent and the independent variables d. a. с. None of these alternatives is correct.
Consider the following data on y = number of songs stored on an MP3 player and x = number of months the user has owned the MP3 player for a sample of 15 owners of MP3 players. x y 22 485 34 748 2 81 28 581 5 117 32 728 23 445 10 128 4 61 26 476 1 35 8 121 13 266 9 126 5 141 What is the equation of the estimated regression line? (Round your numerical values to four decimal places.) y = Is the simple linear regression model useful for describing the relationship between x and y? Test the relevant hypotheses using a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) t = find the P-value for this test? (Round your answer to four decimal places.) P-value=
The fish in my pond have mean length 10 inches and mean weight 4 pounds. The correlation coefficient of length and weight is .9. If the length of a particular randomly selected fish is reported to be 10 inches, then what should we predict for the weight of that fish using simple linear regression? 4 10 2.5 NOT ENOUGH INFORMATION GIVEN NONE OF THE OTHERS
The following data has mid term marks and end term marks of 9 students. Maximum marksfor both mid term marks as well as end term marks is 100. Calculate regression line betweenmid term marks (independent) and end term marks (Dependent) using below dataset. Givedetailed explanation with solution.Student Roll No. 1 2 3 4 5 6 7 8 9Mid TermMarks 67 59 73 63 89 78 64 28 89End TermMarks 55 42 80 83 76 67 63 33 58
2.)Use the following data where Y is the dependent and X is the independent variable: SALES EXPERIENCE Y ('000TL) X(Years) 114 61 129 135 117 6 17 11 7 12 Test the hypothesis that there is a significant correlation between Y and X at 1% level of significance.
6, Given are five observations collected in a regression study on two variables. 2. 13 20 19 8. 27 23 (a) Develop a scatter diagram for these data. y 30 y 30 30 30 25 25 25 25 20 20 20 20 15 15 15 15 10 10 10 10 5- 5. 10 15 20 25 10 15 20 25 10 15 20 25 10 15 20 25 (b) Develop the estimated regression equation for these data. (c) Use the estimated regression equation to predict the value of y when x = 9.

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