Which equation is the best fit for the data in the table? * Y 3 2 12 5 27 8 48 11 O y=-.0026x^2+.33x+1.16 O y=1.94x+2.140 O y=1.732vx-1 O y=1.732x-1

Q: What percentage of the variability in the amout of fuel used can be explained by the variability in…

A: Given: Distance Amount of fuel used 20 2.14 25 2.75 30 2.65 35 3 28 2.8 40 2.479

Q: What is the coefficient of determination for the data above?

A: Step-by-step procedure to find the regression line using Excel: In Excel sheet, enter x and y in…

Q: make a two way table of data in electrical stimulation for fresh insight

A: The null and alternative hypotheses are   Ho : There is no relationship between Treatment and…

Q: The coefficient of determination of a set of data points is 0.709 and the slope of the regression…

A: It is give that slope of the regression line is –3.58.

Q: A population of marine gastropods has shell lengths that are normally distributed with a mean of 7…

A: We have to find given probability.

Q: Two lines are proposed to describe the relationship between x and y for a particular data set. Shown…

A: Line1: y-cap=5+4x, Sum of squared error is 48.6. Line2: y-cap=6+3.5x, Sum of squared error is 40.8.

Q: A botanist wants to know if two different soils lead to different levels of evaporation in plants.…

A: In this case, Each of the plants is used in both soils, she can use a paired samples t-test to…

Q: The correlation of the relationship between the number of reaches into the bag and the number of…

A:

Q: What percentage of the data will fall between 1 standard deviation below the mean and 2 standard…

A: P(-1<z<2)=?

Q: The green and red lines are used to represent the SD line and regression line.

A: a) The regression line is given. Here, the red color represents the SD line and blue color…

Q: What is the equation of the regression line to predict the UPCAT Score given the Senior High School…

A: Given: Students Senior high ave, X UPSAT, score, Y 1 88.5 57.3 2 81.6 63.8 3 91.9 81 4…

Q: At the end of the semester the lecturer runs a regression using the student's final grade as the…

A: Let the regression equation be y=mx+b where, y is the dependent variable mx is the estimated…

Q: When data is normally distributed the mean equals the mode. True

A: Normal distribution

Q: Describe about the correlation coefficient for quantitative data.

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: Explain why the coefficient for "wagegov" changed (compared to the previous regression) when the two…

A: Regression Analysis: An effective statistical tool for exploring the relationship between two or…

Q: The coefficient of determination of a set of data points is 0.87 and the slope of the regression…

A: Given: Coefficient of determination (R square)= 0.87 Slope of regression line = -2.86

Q: At the end of the semester the lecturer runs a regression using the student's final grade as the…

A: Given Information: Dependent variable (Y) is student's final grade. Explanatory variable (X) is male…

Q: How do I draw two straight lines for the appropriate data points and get the point of intersect?

A:

Q: given data. Ro

A: Let the equation of regression line by least-squares method is y = a + bx Where y is dependent…

Q: Šuppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the…

A: The correlation coefficient is 0.877 and the regression line is y=20.45+0.81x.

Q: Explain the graphic method of determining correlation between two variables?

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: whats an equation that would best fit these data points?

A: Given information: x y 0.3 3 0.1 2 1.2 1 1 4 1.5 3 1 8 1 10 1.5 6 1.3 6 1.8…

Q: If the mean of the data = 50 and the variance = 100 , if the data are modified through the equation…

A: Given that, mean of X, E(X)= 50 And Variance of X, V(X)= 100 Modified data, Y= 0.5X+25 E(Y)=…

Q: What formula is used to gain information about an individual data value when the variable is…

A: Solution: 6. Let X be the random variable. From the given information, X is normally distributed.

Q: suppose that for x=3, the predicted value is y=6. The data pair (3, 8) is part of the sample data.…

A: We know residual in regression equation is  r = (y-y^)  where,  y is actual value  y^ is predictive…

Q: Suppose that x=3, the predicted value is y^=5 The data pair (3,9) is part of the sample data. what…

A:

Q: What equation should be used in significance of the value found in scatter diagram of the data

A: A scatter plot is a graphic tool used to display the relationship between two quantitative…

Q: Describe about the Linearity as correlation coefficient assumption.

A: The assumptions for correlation coefficient are as follows: 1) Level of measurement. 2) Related…

Q: Write short note on regression line?

A: Introduction: Independent and dependent variables in regression: In a simple regression, the…

Q: The regression line ŷ, = 4 + 1.6x, has been fitted to the data points (x, y): (3, 8), (2, 7), (1,…

A:

Q: Tell whether there is a significant difference in the mean serum cholesterol of individual who…

A: Given information: No. of variables=5, i.e. Weight, Exercise, Systolic Pressure (before the…

Q: Dr.Luo did a study about the relationship between political attitudes for husbands and wives for a…

A: N=8, SP=122 The given information can be summarized into tabular form,   M SS Wives 7 172…

Q: At the end of the semester the lecturer runs a regression using the student's final grade as the…

A: Given: Male dummy (equals one if the student is male and equals zero otherwise).

Q: Explain the value of the coefficient of determination and the overall significance of the model.

A: Given,  Q = f( P, M, PR) where Qc = demand for cement/month (in yards), Pc = the price of cement per…

Q: How do calculate a z-score

A: In general z-score is the standard normal score.

Q: Marina, Elena, Paloma, Alejandra and Rocío are 2, 3, 5, 7 and 8 years old and weigh 14, 20, 30, 42…

A: The regression analysis is a statistical procedure that allow us to find the linear association…

Q: Describe the range of vakues for the correlation coefficient.

A: Solution-: We describe the range of values for the correlation coefficient.

Q: Report the correlations between the three independent variables (age, educ and Protestant) and your…

A: The correlation is used to estimate whether there is any significance relationship between the two…

Q: The heart rate of humans are normally distributed with a mean of 90.3 bpm and std. dev. of 7.3 bpm.…

A:

Q: A survey conducted by a research team was to investigate how the education level, tenure in current…

A: Consider a multiple regression model for the prediction of Annual income (in dollars) with three…

Q: Differentiate Regrassion analysis and Correlational analysis?

A:

Q: Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the…

A: From the given table, the critical value for n=20 with level 0.05 is 0.444. Conclusion: Here, the…

Q: The inter quartile range (IQR) of the data: 2, 4, 4, 5, 6, 7, 8 is equal to 2. 3. 6.

A: According to the given information, we haveData set: 2, 4, 4, 5, 6, 7, 8

Q: Explain difference between three formulas that are used in t-test for two samples with real life…

A: The different types used in t-test for two samples are: Independent t-test (unpaired data) which is…

Q: The regression line for (-3,4), (-2,3),(-1,3),(0,7),(1,5),(2,6),(3,1)

A:

Q: find the regression line associated with the set of points. (6,7), (8,8), (9,9)

A:

Q: If the mean of the data =50 and the variance=100, if the data are modified through the equation:…

A: We have given that,  Mean (x-bar) = 50 Variance (s^2)= 100 Then standard deviation (s) = 10 Y =…

Q: population is normally distributed with a mean of µ = 145 and σ = 20. Which is the percentile rank…

A:

Q: _______________ is the ability to detect a significant difference or relationship and is influenced…

A: Power of a test: Power of a test is the probability of rejecting a null hypothesis when it is…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.