1. Solve for y, using the method of successive approximation. dr =x+ y; y(1) = 1 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. yi 2.7183 xi 1 2 7.3891 3 3 20.0855 3. Using multiple linear regression, estimate the values of a, b and c in the given regression model. MODEL: y = ax ecx 3 4 3.6 5.2 6.8 8.8

Define both x and y in all problems. x is the cause, and y is the effect. This is the most important step when doing linear regression, otherwise, all the remanding parts will be wrong.

Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each number to three decimal places). ŷ X Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. The fitted regression equation is - y 0 31.6 1 32.23 2 33.56 3 31.99 4 31.92 5 34.55 6 33.88 7 36.51 8 35.54 9 36.47 10 36 11 36.93 Interpret the y-intercept of the equation: O In 2000, the temperature was about 31.5. O In 2000, the temperature was about 0.503. O In 2000, the temperature was about 31.5. O In 2011, the temperature was about 36.93.

The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of the company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below.   1. Use Excel and write an equation that can be used to predict the price of the stock. 2. Interpret the coefficients of the estimated regression equation that you found in part (1). 3. Perform a t test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05. 4. Perform an F test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05 5. Conduct Residual Analysis and fully interpret the meaning. 6. If on a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 10 million, what would you expect the price of the stock to be? 7. Submit Excel document with steps…

The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of the company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below.   1. Use Excel and write an equation that can be used to predict the price of the stock. 2. Interpret the coefficients of the estimated regression equation that you found in part (1). 3. Perform a t test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05. 4. Perform an F test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05 5. Conduct Residual Analysis and fully interpret the meaning. 6. If on a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 10 million, what would you expect the price of the stock to be? 7. Submit Excel document with steps…

The regression equation between x and y is y = 13.2-1.8x Predict the value of y for x= 2

Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the demand x widgets.  Here, price is the dependent variable, and demand is the independent variable.  Find the regression function for price, and write it as p ( x ) = m x + b. Does it look like the regression line models the data well?  Why or why not? Use the regression function you found to estimate p ( x ) for specific values of x.  Give the real-world interpretation of the result of such computations in complete sentences.  Be sure to include units. Find the value of x would make p ( x ) = 0.  Give the real-world interpretation of the result of the computation in complete sentences.  Annual widget demand x (widgets) Price per widget p ($/widget) 10 147 20 132 30 125 40 128 50 113 60 97 70 85 80 82 90 79 100 53 Enter the value for m, rounded to the nearest thousandth. Enter the values for b, rounded to the nearest whole number.…

We now want to understand how to measure the impact of the policy. If the policy is effective in reducing driving, then pollution should go down. In the model, we captured the effect of the choice of transportation on pollution with the function C(x₁, x₂). In practice, the actual reduction in pollution can only be known after the policy is imple- mented. 5 1. Explain carefully why running the regression above might suffer from endogeneity concerns: are their any unobservable variables that might confound the results? Should we be worried about reverse causality? What empirical methods could we use to address these concerns?

Select the appropriate interpretation for the slope of the linear regression equation below. Y (Dependent Variable) = Cost of an annual pass to Disney in dollars X (Independent Variable) = Average number of people who visit each day in thousands of people yhat = 2122.86 - 30*X A. For every 1 thousand more people on average who visit Disney each day then the price of an annual pass will decrease on average by 30 dollars B. For every 1 dollar more that a Disney annual pass costs then on average the daily attendance at the park has decreased by 30 thousand people. C. For every 1 thousand more people on average who visit Disney each day then the price of an annual pass will increase on average by 30 dollars D. For every 1 dollar less that a Disney annual pass costs then on average the daily attendance at the park has increased by 30 thousand people.

t Predictions: On A startup team is interested in creating a productivity app. In estimating the cost of creating the app, they collected sample data and developed the following regression equation: where number of developers b 2number of hours spent creating the app Is cost of software and testing ($'000) y-total cost of creating app ($'000) a. What is the value of b2 in the equation? y = -8.006-19.271x1 +0.8462 +1.786x3 b. Does it make sense to interpret bo in this equation? Yes No Accessibility: Investigate Search O W 5 I