he commercial division of a real estate firm is conducting a regression analysis of the relationship between x, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. Analysis of Variance SOURCE DF Adj SS Regression 1 41587.3 Error 7   Total 8 51984.1 Predictor Coef SE Coef T-Value Constant 20.000 3.2213 6.21 X 7.210 1.3626 5.29 Regression Equation Y = 20.0 + 7.21 X (a) How many apartment buildings were in the sample?   (b) Write the estimated regression equation. ŷ =        (c) What is the value of  sb1?   Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to three decimal places.) p-value =

Q: Use the scatterplot of Vehicle Registrations below to answer the questions Vehicle Registrations in…

A: Given plot is number of vehicle Registration in millions Vs Year    and there a black color straight…

Q: The output of a different regression analysis on the effect of radio advertising spending on sales…

A: Here, there is only one predictor variable (radio advertising spending). Therefore,  dfreg=p…

Q: A researcher developed a regression model to predict the tear rating of a bag of coffee based on the…

A: b1= 0.7501Sb1 = 0.2241n = 30Alpha = 0.05Alpha / 2 = 0.05 / 2 = 0.025Df = n - 2 = 30 - 2 = 28

Q: As a marketing manager for TriFood, you want to determine whether store Sales (# sold in one month)…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: A study was performed on 64 female college athletes. Researchers collected data on each female…

A:

Q: A researcher records age in years (*) and systolic blood pressure (y) for volunteers. They perform a…

A: The following information has been provided: y^=3.3+12.7x

Q: Let the Explanatory Variable represent the age of a sample of seven randomly selected men. Let the…

A:

Q: The accompanying table shows results from regressions performed on data from a random sample of 21…

A: The regression model shows a relationship between 1 dependent variable and 1 or more independent…

Q: n a sample of cars reviewed by Motor Trend magazine, the mean horsepower (hp) was 150 hp with a…

A: Given Information: The mean horsepower hp was 150 hp with a standard deviation of 36 hp. The mean…

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A: The total number of observations is n = 7 and the F-ratio is, 15. The residual sum of squares is RSS…

Q: The three pieces of information that the standard error for slope is dependent on in an inference of…

A:

Q: The output of a different regression analysis on the effect of television advertising spending on…

A: In the given model there are two x variables. That is, p=2. The regression degrees of freedom is,…

Q: 12 of R²

A:

Q: (a) How many apartment buildings were in the sample? (b) Write the estimated regression equation.…

A: Here dependent variable Independent variable The partial ANOVA output and Regression equation is…

Q: Why is the equation of the regression line for this scatter plot ?

A: The regression equation is, y=a+bx In the formula a is the intercept value, and x is the slope…

Q: We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all…

A: From the provided information, The regression equation is as follow: Highway mpg=7.903 + (0.993×city…

Q: The local utility company surveys 11 randomly selected customers. For each survey participant, the…

A: Given: Number of observations, n=11 The regression equation is: Bill=19.7+3.23×size The following…

Q: In a study of the performance of a new engine design, the weight of 12 cars (in pounds) and the top…

A: A.The general regression equation is given by:y = a + b x  Using the output table,a = 107.58 b =…

Q: Using the lengths (in.), chest sizes (in.), and weights (lb) of bears from a data set, the resulting…

A: For a new predictor variable, the adjusted R2 is increased from 0.925 to 0.933.

Q: Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Answer How to…

A: It is given that the data in tabulated form.

Q: Coefficients: Estimate Std. Error t value Pr(>|t|) Intercept) -27.2412 3.7802 -7.206 1.74e-05 Length…

A: Researchers collected information on several species of fish in a Finnish lake. Two of the variables…

Q: We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all…

A: a) In a regression equation y = a +bx, the slope of the equation is b and the intercept is a, where…

Q: Compare and contrast z-tests, t-tests, correlation, and linear regression.

A: Z-test: This test is used to see if sample mean is different from population mean when population…

Q: Regression Statistics Multiple R R Square ANOVA 0.79 df MS ignificance F 0.62 Regression 4 6548.49…

A: a). From the above regression output, the value of R-square is 0.62. Therefore, the proportion of…

Q: elling price and percent of advertising budget spent were into mutiple regression to determine what…

A: The multiple regression model is fitted as: y=β0+β1x1+β2x2+...+βnxn Here, y is the dependent…

Q: 3. The regression model below estimated the impact of tax on income using 41 observations. a. Is the…

A: Given that, the p-value for slope parameter (tax) is <0.0001

Q: per ge The proportion of the variability in miles per gallon explained by the relation between…

A: Answer:----.                    Date:----12/10/2021   r = -0.984 So, r^2 = 0.968256

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.