Solution is in the PDF Formate and it is solved Sample and Guide you How to Answer the Questions. 

1. Determine if the statement below is true or false. If you believe that the statement is​ false, briefly say why you think it is false. If all of the data lie along a single line with nonzero​ slope, then the r2 of the regression is 1.​
   (Assume the values of the explanatory variable are not​ identical.)
2. Determine if the statement below is true or false. If you believe that the statement is​ false, briefly say why you think it is false. If the correlation between the explanatory variable and response is​ zero, then the slope will also be zero.
3. If the correlation between X and Y is requals=​0.5, do X and Y share half of their variation in​ common?
4. The figure below shows an estimated linear equation with​ 95% prediction intervals. Assume that the units of x and y are dollars. Complete parts a through d
5. The collection of​ emerald-cut diamonds contains​ replications, several diamonds at each weight. Had we fit the linear equation using average prices at each weight rather than individual​ diamonds, how would the fitted equation and summary measures ​(r2 and Se​) ​change?
6. The accompanying data table contains the listed prices and weights of the diamonds in 3030 rings offered for sale in a newspaper. The prices are in​ dollars, with the weights in carats. Formulate the regression model with price as the response and weight as the explanatory variable. Complete parts​ (a) and​ (b) below.
7. Many auto regressions are​ mean-reverting. Mean reverting means that the forecasts eventually tend back to​ (revert to) the mean of the time series. For​ example, a manager uses an​ AR(1) model to predict sales next week using sales in recent weeks. Sales typically run about ​$350,000 per week. The estimating equation​ (with sales in thousands of​ dollars) is y t equals=70 plus 0.8 y /t−1. Complete parts​ (a) through​ (c) below.
8. The plots to the left and right show exponentially weighted moving averages​ (EWMA) of the percentage change of a​ country's gross national product​ (GNP). The time series is quarterly for a​ five-year period. To the​ left, the weight w in the EWMA is 0.30.3​, and wequals=0.80.8 to the right. The EWMA in both cases is shown as a line and the surrounding data as dots. Complete parts a through c below.
9. This analysis compares a model that has y as the response to a model that uses the change in​ y, y Subscript tytminus−y Subscript t minus 1yt−1​, as the response. These data are monthly based on seasonally adjusted data for three years. The scatterplots and tables found below summarize the fit of the regressions. Complete parts a through d.