Q4. Using the listed duration and interval after times, find the best predicted “interval after” time for an eruption with a duration of 253 seconds. How does it compare to an actual eruption with a duration of 253 seconds and an interval after time of 83 minutes? Duration 242 255 227 251 262 207 140 Interval After 91 81 91 92 102 94 91 a) Find the value of the linear correlation coefficient ? b) Find the critical values of r from table A-6 using ∝= 0.05 c) Determine whether there is sufficient evidence to support a claim of a linear correlation Between the two variables. d) Find the regression equation, e) Letting the first variable be the predictor (x) variable, find the indicated predicted value.

Q: Determine the r critical value from the table and decide if there is a significant linear…

A: Let ρ denote the linear correlation between advertising cost (x) and profit (y). The hypotheses are…

Q: Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​…

A: The data is provided for the overhead widths​ (in cm) of seals measured from photographs and the…

Q: Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​…

A: Given: Width Weight 7.1 114 7.5 155 9.8 249 9.3 197 8.8 200 8.1 182

Q: As we have noted in previous chapters, even a very small effect can be significant if the sample is…

A: Given, Correlation coefficient, r = 0.60 sample size n = 10 Degree of freedom, n-2 = 8  α = .05…

Q: Here is a bivariate data set. y 53.4 78.8 59.5 54.6 56.7 70 56.1 65 58.7 46.9 52.2 86.7 66 48.5 71.6…

A: Procedure: Enter the data in the SPSS sheet. select the data then go to the analyze option. Select…

Q: a) compute correlation coefficient (b) Find the fitted regression line of the price of laptop on…

A: Given : n=12 , Σx = 19.8 , Σy = 24798, Σxy = 431882 Σx^2 = 3388, Σγ^2 = 57365692 We want to find the…

Q: The weights​ (in pounds) of 6 vehicles and the variability of their braking distances​ (in feet)…

A: Sample size (n) = 6 The values of x and y are α=0.05

Q: The authors of this study report a Pearson correlation coefficient estimate of r = 0.23 with a…

A: Given : Pearson correlation coefficient estimate of r = 0.23 That means there is a positive…

Q: Here is a bivariate data set. y 55.2 36.1 52.6 4.4 62.1 85.4 58.7 39.5 60.8 51 65.5 64.8 66.1 46.6…

A: x y 55.252.662.158.760.865.566.163.564.669.168.363.955.563.866.1…

Q: Here is a bivariate data set. X y 47.1 59.5 47.4 64.8 68.8 7.7 56.3 39.3 45.7 41.5 45.2 58 57.5 40.5…

A: A bivariate data set is given.

Q: Here is a bivariate data set. x y -2.6 120.6 30.5 34.9 40.1 85.3 18.2 82.2 14.8 89.6 21.8 69.3 36.3…

A: Solution: From the given information, a bivariate data set is

Q: Here is a bivariate data set. x y 78.4 78.4 62.2 33.8 69.3 62.8 73 89.9 75.7 94.4…

A: Solution: The correlation is obtained by using excel. The function should be used in excel is…

Q: Here is a bivariate data set. x y 78.1 38 77.7 32.7 76.4 33.6 82.2 27.7 76.4 34.7 64.5 33.7 78.3…

A: x y x. y x2 y2 78.1 38 2967.8 6099.61 1444 77.7 32.7 2540.79 6037.29 1069.29 76.4 33.6…

Q: Given the linear correlation coefficient r and the sample size n, determine the critical values of r…

A:

Q: Explore! Exercises 9 and 10 provide two data sets from “Graphs in Statistical Analysis," by F. J.…

A: (a)   Use EXCEL to construct the scatter plot.   EXCEL procedure:   Go to EXCEL Go to Insert menu…

Q: Here is a bivariate data set. X y 79.3 41.2 103.7 -42.2 119.3 -73.7 84.1 27.1 68.3 28.6 73.2 77.5…

A: Correlation coefficient quantifies the strength of relationship between two variables. The value of…

Q: Here is a bivariate data set. x y 86.2 115.8 23.3 35.9 43.4 73.6 41.2 80.5 45.6 69.4…

A:

Q: Q4. Using the listed duration and interval after times, find the best predicted “interval after”…

A: a) Step-by-step procedure to find the sample correlation coefficient using Excel: In Excel sheet,…

Q: The accompanying table lists the numbers of Internet users per 100 people and numbers of scientific…

A: Let X be the internet users Y be the scientific award winners.

Q: 13 Find out the likely production corresponding to a rainfall of 40 cms. from the following data :…

A: Regression Equation: When we want to predict the value of one variable, say Y, from the given value…

Q: If X. Y and Z are uncorrelated RVs with zero means and standard deviations 5 12 and 9 respectively…

A: Given  X,Y and Z are uncorrelated, which mean cov(X,Y)=Cov(Y,Z)=Cov(X,Z)=0  E(X)=E(Y)=E(Z)=0…

Q: For a data set of chest sizes (distance around chest in inches) and weights (pounds) of ten…

A: We have given that the linear correlation coefficient r = 0.662

Q: Here is a bivariate data set. x y 51.1 30.8 58.7 10.3 46.7 50.1 42.7 32.1 40 46.7 42.9 33 40.3 15.9…

A: Correlation is a statistical device that helps in analyzing the covariation of two or more…

Q: The linear correlation coefficient is r=enter your response here. ​(Round to three decimal places…

A:

Q: Here is a bivariate data set. х | у 81.9 40.8 66.5 50.2 57.7 93.7 90.3 71.4 42.7 75.6 66.4 39.1 99.7…

A: According to the provided information, bivariate data set are given.A correlation coefficient…

Q: afe the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the…

A: Solution: n= 6 observation Let x= Overhead Width y = Weight The figure B is the correct scatter…

Q: .Is there sufficient evidence to conclude that there is a linear correlation between overhead widths…

A:

Q: There has GOT to be an easier way or something I can plug this into a calculator or an excel…

A:

Q: Here is a bivariate data set. x y 62.6 82.3 69.7 16.5 69 29.5 46.3 71.2 39.1 71.4 36.4 83.2 45.5…

A: Given X Y 62.6 82.3 69.7 16.5 69 29.5 46.3 71.2 39.1 71.4 36.4 83.2 45.5 60.2…

Q: isted below are the overhead widths (in cm) of seals measured from photographs and the weights (in…

A: The Scatter diagram measures the relationship between two variable. On X-axis it represents the…

Q: The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the…

A:

Q: The following data were obtained for a sample of 10 men from a height and Σ (x₁ - x)² = 120, Ey? =…

A:

Q: 11. Find out the likely production corresponding to a rainfall of 40 cms. from the following data:…

A: Regression equation : The equation is written as Y= a + bX, wherever Y is that the variable (the…

Q: The maximum weights​ (in kilograms) for which one repetition of a​ half-squat can be performed and…

A: Consider that ρ is the population correlation coefficient and r is the sample correlation…

Q: For the data given in the table below, find the linear correlation coefficient r and the…

A:

Q: Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in…

A: We have given that,  X :-    7.2,   7.6,    9.8,    9.2,      8.8  , 8.3 Y:-     115,  176,   249,…

Q: Here is a bivariate data set. x y 47.5 59.9 43.3 34.9 37.8 43.1 48.3 51.7 48.9 68.1 42.2 21.8 37.1…

A: The sums are, x y x2 y2 xy 47.5 59.9 2256.25 3588.01 2845.25 43.3 34.9 1874.89 1218.01…

Q: A sample of ten commuters were asked for the distance and the time required commuting to their jobs…

A: We have given the following  SSxx = 103.6 SSxy = 276 SSyy = 872.5  · ΣX =68  · ΣY =205

Q: (a) For what range of values can the coefficient of correlation of a sample of 52 pairs be…

A: The correlation coefficient is the relation between variables and is between -1 and 1. -1 and 1…

Q: A student conducted a correlation analysis and obtained the following values: weight, TSC, X*X Y*Y…

A: The formula for the correlation coefficients is : r=n∑ixiyi-∑ixi.∑iyin∑ixi2-∑ix2.n∑iyi2-∑iy2…

Q: Here is a bivariate data set. y 30.4 1.4 28.5 37.7 34.4 46.8 47.9 29.8 23.3 6.3 46.3 32.9 56.6 64.6…

A: From the given data we find the correlation coefficient.

Q: A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding…

A:

Q: of two personnel evaluation techniques available, the first requires a 2-hour test-interview while…

A: Given data: Test 1 (x) Test 2 (y) 75 38 90 56 60 35 71 46 92 58 106 69 55 30 87…

Q: The accompanying data represent the number of days​ absent, x, and the final exam​ score, y, for a…

A: State the null hypotheses.   Use EXCEL to obtain the value correlation coefficient r:   EXCEL…

Q: 1. Two correlation coefficients obtained from samples of size 23 and 28 were computed to be 0.80 and…

A: r1 = 0.8 r2 = 0.95 n1 = 23 n2 = 28

Q: 10. If x1, x2 and x3 are three variates measured from their respective means as origin and of equal…

A:

Q: aper concluded that there was a correlation between refined sugar consumption (calories per person…

A: Correlation is correct.

Q: values are

A: X represents overhead width Y represents weight

Q: The weights​ (in pounds) of 6 vehicles and the variability of their braking distances​ (in feet)…

A: Linear correlation coefficient: Use the EXCEL formula, "=CORREL(A2:A7,B2:B7)". The value obtained is…

Q: the accompanying table shows the ages​ (in years) of 11 children and the numbers of words in their…

A: Data is given for vocabulary size according to age We have to find out correlation coefficient and…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.