i need the answer quickly Q2) The following data represents theresults of an experimental test, if therelation between variables take the formy=ae^(bvx)y = aeb√xX47121524y1310974* the correlation coefficient of the above (2relation0.99270.9727 O0.9772 O0.9977none of all above

Answered: Q2) The following data represents the…

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.8). In a regression calculation, a researcher finds that the explanatory variable x has mean 100 and SD 10, and the response variable y has mean 250 and SD 40. The regression equation is found to be y^ = 450 and y? 2x. What is the correlation between x (a) cannot tell from the information available (b) -0.8 (c) -0.5 (d) 0.4 (e) 0.1 Q.10) a) What are the differences between the data and information? b) Explain the differences between the types of Statistics
Perform a a Pearson’s correlation in SPSS to determine whether the weight of an automobile (‘weight’: Vehicle Weight-lbs) is significantly correlated with its horsepower (‘hp’: horse power). Use a two-tailed test with α = .01 Report the results
The following zero-order correlation coefficients are given riz = 0.98, r, = 0.44 and r, = 0.54. Calculate multiple correlation coefficient treating first variable as dependent and second and third vari- ables as independent.
Show how the difference in mean estimands can be decomposed into the average treatment effect (ATE). Difference in mean estimand = E[Yi | Di = 1] - E[Yi | Di =0] ATE = E[Y1i - Y0i]=E[Ti]
A study conducted by students in an AP Psychology classat South Kent School in CT discovered a correlation of-0.38 between students’ hours of sleep (x) and GPAs (y).The scatterplot below displays the relationship. Whatconclusion can be reasonably drawn from these data? A) Students who get more sleep tend to earnhigher GPAs.B) If a student wishes to earn higher grades, he or sheshould get more sleep. C) Based on the pattern in the scatterplot and the cor-relation, these data indicate that as students sleep longer, they tend to earn lower GPAs. D) The scatterplot and the correlation coefficient contra-dict one another. E) The scatterplot shows two influential points thataffect the value of the correlation.
While calculating the coefficient of correlation between two variables x and y from 25 pairs of observation, obtained the following results:n= 25, ∑x= 125, ∑x2 = 650, ∑y= 100, ∑y2= 460, ∑xy= 508At the time of checking, it was observed that two pairs of observations were incorrect. Following tables give detailed information about incorrect observation used and correct observation which should have been used. Find the correct value of ‘r’. Give detailed explanations with solution and interpretation. Incorrect observation used : x 6 8 y 14 6 Correct Observation used : x 8 6 y 12 8
A strong curvilinear relationship between 2 variables might yield a correlation coefficient that is ___ Choose one strong and positive or weak and close to 0 or large in expected frequency
A researcher collected a data set for a random sample of 930 individuals living in and around London, with data collected over 1-year period. The Table below reports the OLS coefficient estimates (intercept not reported) and standard errors (in parentheses), where the dependent variable is [100xIn(well-being)]. Commuting time/60 -0.267 (0.039) -0.14 (0.040) Age Age squared/100 0.12 (0.040) Hours worked -0.0053 (0.001) log real income 0.0267 (0.009) Married or cohabiting 0.589 (0.032) Num. of children. -0.051 (0.015) Saves Degree 0.299 (0.022) -0.022 (0.035) The explanatory variables are: Commuting time = Number of minutes of commuting time per day; Age= Age in years; Hours worked = Hours worked per week; Log of real household income = 100xLn(real household income measured in £10,000s); Num. of children = Number of children under the age of 18; Save regularly = 1 if save regularly, 0 otherwise; University degree = 1 if has a University degree, 0 otherwise. Calculate the test statistics…
A survey on lamb farms was conducted and data were collected on the followingvariables from a random sample of 30 farmers. Y = average live weight of ewes (kg)X1 = area of grazing land (m2) X2 = proportion of farm area that cannot be cultivatedX3 = proportion of area closed for lambs before weaning 1. True or False? Computed correlation coefficient a. There is a very weak negative linear relationship between average live weight of ewes and area ofgrazing land. b. There is a weak positive linear relationship between average live weight of ewes and proportion offarm area that cannot be cultivated. 2. True or False? the test of hypothesis on correlation coefficients at a=0.05 a. There is sufficient evidence to say that there is a linear relationship between average live weight ofewes and area of grazing land. b. There is sufficient evidence to say that there is a linear relationship between average live weight ofewes and proportion of area closed for lambs before weaning.
What six quantities are needed to compute a correlation coefficient?
Two brands of tyres are tested with the following results:Life (in ‘000 miles) Number of Tyres of brandX Y20-25 1 025-30 22 2430-35 64 7635-40 10 040-45 3 0a) Which brand of tyres have greater average life?b) Compare the coefficient of variation and state which brand of tyres would you use on your fleetof trucks?
a. Show that the regression R2 in the regression of Y on X is the squaredvalue of the sample correlation between X and Y. That is, show thatR2 = r2XY.b. Show that the R2 from the regression of Y on X is the same as the R2from the regression of X on Y. c. Show that ^β1 = rXY (sY/sX), where rXY is the sample correlationbetween X and Y, and sX and sY are the sample standard deviationsof X and Y.

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Q2) The following data represents the results of an experimental test, if the relation between variables take the form y=ae^(bvx) y = = aeb√x 4 7 12 15 24 y 13 10 9 7 4 * the correlation coefficient of the above (2 relation ४ 0.9927 0.9727 O 0.9772 0.9977 none of all above