7. Calculate the linear correlation coefficient r, for temperature (x) and number of ice cream cones sold per hour (y). (65, 8), (70, 10), (75, 11), (80,13), (85, 12), (90, 16) Optional Answers: 1. .939 2. -9.59 3. .882 4. .274

Q: The table shows the numbers y of AP exams (in thousands) taken from 2012 to 2016, where x = 12…

A: In this case, number of AP exams is the dependent variable (y) and years (x) is the independent…

Q: Suppose we have a sample of 18 pairs of (x, y). Also suppose we have, 8z=9.76 Σ(τ-3 (y -)-1974.2…

A:

Q: Use the following table to find the linear correlation coefficient between x and y

A: Given data, X Y X*Y X*X Y*Y 1 3 3 1 9 1 1 1 1 1 2 1 2 4 1 4 2 8 16 4 3 3 9 9 9 2 4 8…

Q: Here is a bivariate data set. x y 10 246 2 122 54 36 31 -27 -23 7 18 -9 -3 241

A: The table with the calculations is shown below:

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

A: Solution: Let X be the number of days absent and Y be the final exam score. From the given…

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

A: Solution: Let X be the number of days absent and Y be the final exam score. From the given…

Q: A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of…

A: Given  n=25, ∑x=125, ∑x2= 650, ∑Y=100, ∑y2=460, ∑xy=508 Standard deviation=√variance  We want to…

Q: y 50.5 -475 41.3 1392.1 5.4 489.8 54.7 604.1 20.5 1389.4 22 -542 7.4 -53.9 45.1 -409.6 40.8 514 -4.1…

A: Given Data : X Y 50.5 -475 41.3 1392.1 5.4 489.8 54.7 604.1 20.5 1389.4 22 -542 7.4…

Q: 5. Here is a scatterplot that compares age vs. serum cholesterol levels for 30 randomly sele adults…

A: Outlier : - The data point is far from the predicted line

Q: In the context of linear association and correlation coefficient, if E(x – a)(y – 9) = 63, n = 49,…

A: Given  ∑(X-x̄)(Y-ȳ)=63, n=49, Sx=1.1, Sy=2.2

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: 8 Compute r, the correlation coefficient, using the following data. 3 y 10 9. 4 8 r= (Round to three…

A:

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: 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: Calculate the coefficient of correlation between x and y. 2 4 y 5 9. 13 17

A:

Q: x y 23.2 516.8 29.6 -1729.2 37.5 343.1 19.3 3124.3 57.7 1938.3 18.3 -1530.7 20.4 2383.3 30.8 259.6…

A: Follow the steps below to get the correlation coefficient in excel: 1) Import the data in the excel…

Q: 1. The following table indicates the data from 8 students between the physic and chemistry courses.…

A: Assuming the following order: Excellent > Very Good > Good > Poor > Very Poor. value…

Q: Consider the set of pairs ((x. y)} of pairs shown in the following figure, which refers to two…

A: Correlation between two variables shows three types of association between variables. They are…

Q: I need the answer as soon as possible

A:

Q: 1.2. Calculate the correlation of coefficient (r).

A: Here, Two variables are given, X : Income per annum (in R 1000)  Y : Life Insurance (in R 1000) The…

Q: Which of the following are NOT true about the linear correlation coefficient? Select all that apply.…

A: Note: " Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Consider the following (x, y) data. 3 3 4 -4 -3 -3 -2 -2 -1 -1 1 1 2 2 -2.65| 2.65 -3.46 3.46 -3.87…

A: To find the regression coefficient ,we will use regression analysis in excel.

Q: A computer while calculating the correlation coefficient between the variables X and Y obtained the…

A:

Q: Use the following table to find the linear correlation coefficient between x and y X 2 3 4 1 2 2 3 2…

A:

Q: find the correlation coefficient r.   x y 5 8 9 10 11 13 17 19

A: Solution: The given data is

Q: Here is a bivariate data set. X                     Y 31.1             -1.9 20.4             -30…

A: Correlation:   A statistical method that can be applied between the pairs of variables in order to…

Q: A patient is given drip feed containing a particular chemical and its concentration in his blood is…

A: To calculate the correlation coefficient (r).

Q: 15) The scatterplot shows the relationship between two variabl 145 12 10 8 4 0 5 10 15 20 Which…

A: Answer: -0.9

Q: n=13, sum x=120, sum y=340, sum xy=3970, Sigma x^ 2 =1320, Sigma y^ 2 =255555 Calculate the linear…

A: Given n=13, sum x=120, sum y=340, sum xy=3970, Sigma x^ 2 =1320, Sigma y^ 2 =255555

Q: 9. Calculate the Coefficient of Correlation between the values of X and Y from the data given below:…

A:

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

A: Procedure to conduct regression analysis using Excel: Enter the data of x and y in an excel sheet.…

Q: 2. Calculate the correlation coefficient between the two variables x and y shown below: X -1 1 2 4…

A: Calculate Correlation Coefficient r without cov(x,y) from the following data X Y -1 -1 1 2…

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: Here is a bivariate data set. x y 74.8 -4.5 75.6 50.8 59.8 59.2 81.1 10.2 74.3 99.4 101.9 -6.7 49.2…

A:

Q: A computer while calculating the correlation coefficient between two variables and Y from 25 pairs…

A:

Q: 1 80 76 76 87 95 69 67 94 84 ∑x = *, ∑x2 = **, ∑y = ***, ∑y2 = ****, ∑xy = *****  Question: (d)…

A: Given a data set  By using this data se i calculate correlation coefficient (r) and coefficient of…

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

A:

Q: If X and Y are independent the correlation cofficient between X and Y is not equal zero ylgn ihi

A: We have to solve given problem:

Q: Suppose we compute a correlation coefficient between two variable of r= 0. Which of the following…

A: Given Information: Correlation coefficient between two variables is 0 i.e., r = 0 Correlation…

Q: If someone owns an electric car it is represented by a one  and if they don’t it is represented by a…

A: Given:   Number of cars (y) Salary (x) xy y^2 x^2   0 80000 0 0 6400000000   0 17000 0 0…

Q: Calculate the Coefficient of Correlation between the values of X and Y from the data iven below :…

A:

Q: x 19.3 23.4 10.3 17.7 23.2 y 6 2 3 3 3

A: Following values can be calculated from the gives values as follows:

Q: The following table shows the magnitude of earthquakes on the Richter scale, x, and the…

A: Calculate the following values. x y (x - mean_x)2 (y - mean_y)2 (x - mean_x)*(y - mean_y) 2.9…

Q: O If the correlation coefficient is 1, then the slope must be 1 as well. O If the correlation…

A: Correlation Coefficient:- It is a statistical method by which we can determine the degree of…

Q: 22. Given a random sample {(x₁, y₁), (x₂.2),---, (xYn)) such that S = 107 and Syy = 54.75. If the…

A: Sxx=107 Syy=54.75 Slope of regression line=0.257 The objective is to find the linear correlation…

Q: Which of the following correlation (r) show a negative association between 2 variables?

A: The correlation coefficient r shows the strength and direction of the linear relationship between…

Q: A computer while calculating the correlation coefficient between the variables X and Y obtained the…

A:

Q: Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show…

A: Given  Y1 , Y2, Y3 are independent of each other.  They have same standard deviations

Q: The data below are the number of hours worked (per week) and the final grades of 9 randomly selected…

A: The data below are the number of hours worked (per week) and the final grades of 9 randomly selected…

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.