(A) Fully evaluate and interpret these empirical results on an overall basis using R', adjusted R', and F statistic. Colorful Tile, Inc., is a rapidly growing chain of ceramic tile outlets that caters to (B) Which regression analysis problem might apply to this regression estimate? Why? the do-it-yourself home remodeling market. In 2020, 33 stores were operated in small to medium-size metropolitan markets. An in-house study of sales by these outlets revealed the following (standard errors or standard deviations are in parentheses) (C) Which independent variables are statistically significant at the 95% confidence level? (D)Is quantity demanded sensitive to own price (P)? Q = 4 – 5P + 24 + 0.21 + 0.25HF (3) (1.8) (0.7) (0.1) (0.1) R? = 0.93, standard error of the estimate (SEE) = 6 (E) Austin, Texas, was a typical market covered by this analysis. During 2020 in the Austin market, price (P) was $5, advertising (4) was $30,000, income (I) was an average $55,000 per household, and the number of household formations (HF) was 4000. Calculate and interpret the relevant advertising point elasticity. Here, Q is tile sales (in thousands of cases), P is tile price (per case), A is advertising expenditures (in thousands of dollars), I is disposable income per household (in thousands of dollars), and HF is household formation (in hundreds). (F) Given the values of the independent variables in part E above, give a point estimate and an interval estimate of Q with 95% confidence level. (G)Assume that the preceding model and data are relevant for the coming period. Estimate the probability that the Austin store will make a profit during 2021 if total costs are projected to be $300000.
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.
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