The information provided on the "Cruffins" worksheet in the data pack can be used to estimate the number of cruffins sold by a coffee shop per day according to the following linear relationship: Number of Cruffins Sold = a+ B(Price) (Regression Equation) a. Estimate and provide the formula for the regression equation. b. Interpret the coefficient estimate for the following variable: Price.
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- The following regression was run using a sample of 587 women living in Kenya. The variable goats is the number of goats the woman owns and grant is whether the woman received $ 500 in cash (in local currency equivalent) two years ago from the charity GiveDirectly, or not. The charity gives grants randomly to poor people in Kenya, of $ 500. goats = 6.42 +0.80 grant R2=0.35 1. What is the estimated coefficient for grant? What does it mean, in words? (Be specific, referring to numbers.) 2. Suppose one woman in the sample, Wangari, did not receive a grant. What is her predicted number of goats? Please do fast ASAP fastYou have been presented with the following data and asked to fit statistical demand functions: PERIOD QUANTITY PRICE INCOME ADVERTISING 1 120 8.00 10 3 2 165 4.00 22 7 3 120 7.00 20 5 4 165 3.00 20 8 5 180 4.00 30 8 6 90 10.00 19 6 7 150 4.00 18 10.2 8 190 1.60 25 9.3 9 160 5.00 30 8 10 200 2.00 35 9.5 Linear Relationship Use any multiple regression packages to estimate a linear relationship between the dependent variable and the independent variables. Is the estimated demand function “good”? Why or why not? Discuss the economic implications of the various coefficients. Non-linear relationship. Select and estimate any form of non-linear relationship. Is the estimated demand function “good”? Why or why not? Compare with the linear form above. ElaborateSuppose you examined blood of 36 patients with the aim to study the relation between sugar level in blood (in mg/dL) and the amount of artificial sweetener (measured in grams). Your regression shows: blood=7.1 + 0.4*sweatener - 0.2*female. a)What is the most precide interpretation of the estimated coefficient for sweetener? b)What is the most precide interpretation of the estimated coefficient for the constant?
- A finance manager employed by an automobile dealership believes that the number of cars sold in his local market can be predicted by the interest rate charged for a loan. Interest Rate (%) Number of Cars Sold (100s) 3 10 5 7 6 5 8 2 The finance manager performed a regression analysis of the number of cars sold and interest rates using the sample of data above. Shown below is a portion of the regression output. Regression Statistics Multiple R 0.998868 R2 0.997738 Coefficient Intercept 14.88462 Interest Rate -1.61538 2. Is interest rate charged for a loan the most important factor to be considered in predicting future car sales? Explain reasoning.The dealership's vice-president of marketing has requested a sales forecast at the prevailing interest rate of 7%. 3. As finance manager, what reasons would you convey to the vice-president in recommending this forecasting model? 4. Is the prediction of car sales…A finance manager employed by an automobile dealership believes that the number of cars sold in his local market can be predicted by the interest rate charged for a loan. Interest Rate (%) Number of Cars Sold (100s) 3 10 5 7 6 5 8 2 The finance manager performed a regression analysis of the number of cars sold and interest rates using the sample of data above. Shown below is a portion of the regression output. Regression Statistics Multiple R 0.998868 R2 0.997738 Coefficient Intercept 14.88462 Interest Rate -1.61538 1. Are there factors other than interest rate charged for a loan that the finance manager should consider in predicting future car sales? 2. Is interest rate charged for a loan the most important factor to be considered in predicting future car sales? Explain reasoning.The dealership's vice-president of marketing has requested a sales forecast at the prevailing interest rate of 7%. 3. As…Sally Sells Sea Shells by the Sea Shore and collects all sales dataNow she is curious to find out what the elasticity of demand is for her shells Assume they are all the same type and quantity She scatter plots the data and finds there is a linear relationship that looks ripe for a regression estimation of the price response function for her shells The slope of her regression line is 61. Currently, her average daily price is 11.74 and she sells 95 quantity at that priceCalculate the point elasticity of demand for her sea shells
- Consider a linear demand model to explain the quantity demanded for a product: where Q = quantity sold, Price = price of the product, Income = purchaser’s income, Advert = advertising. The following data was collected in year 2018. The company spends millions of money in advertisements. The company wants to know how advertisement as well how other factors affect the quantity of units sold. The results are as follows: Model Summary R 0.986 R2 0.973 Standard error of estimate 6.9872 Variables Coefficient Std error Sig Constant 205.862 19.354 0.000 Price -12.242 1.407 0.000 Income 1.414 0.422 0.015 Advert -3,344 1.798 0.112 Interpret and write a report based on the results obtained above.The following data relate the sales figures of the bar in Mark Kaltenbach's small bed-and-breakfast inn in portland, to the number of guest registered that week: week guests bar sales 1 16 $330 2 12 $270 3 18 $380 4 14 $315 a) The simple linear regression equation that relates bar sales to number of guests(not to time) is (round your responses to one decimal place): Bar sales = [___]+[___]X guestsGiven the following regression output, Predictor Coefficient SE Coefficient t p-value Constant 84.998 1.863 45.62 0.000 x1 2.391 1.200 1.99 0.051 x2 -0.409 0.172 -2.38 0.021 Analysis of Variance Source DF SS MS F p-value Regression 2 77.907 38.954 4.138 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 answer the following questions: Write the regression equation. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.) If x1 is 4 and x2 is 11, what is the expected or predicted value of the dependent variable? (Round your answer to 3 decimal places.) How large is the sample? How many independent variables are there?
- Q.3. A random sample of ten families had the following income and food expenditure Families A B C D E F G H I J Income 18 28 31 38 15 13 24 36 33 40 Food Expenditure 7 10 8 10 6 4 7 10 9 10 Estimate the regression line of food expenditure on income.The Weibracht Corporation designs and manufactures custom beer steins for some of the numerous brew pubs in western North Carolina. Each stein costs Weibracht $8 to produce. The brew pubs purchase the steins from Weibracht for resale to their customers and require a 51% margin. Weibracht’s marketing director has conducted a regression analysis using historical data, resulting in the following regression line: q = -12 * p + 326, where q = slope * retail price + MWB What is the profit maximizing price that Weibracht should charge the brew pubs for these custom steins?You have been presented with the following data and asked to fit statistical demand functions:PERIOD QUANTITY PRICE INCOME ADVErtising1 120 8 10 3 2 165 4 22 7 3 120 7 20 5 4 165 3 20 8 5 180 4 30 8 6 90 10 19 6 7 150 4 18 10.2 8 190 1.6 25 9.3 9 160 5 30 8 10 200 2 35 9.5Linear Relationshipa. Use any multiple regression packages (eg. SPSS package) to estimate a linear relationship between the dependent variable and the independent variables. b. Is the estimated…