A researcher is studying the factors related to the popularity of new music artists. In particular, she is interested in assessing the extent to which the number of albums sold (thousands) is explained by the number of YouTube views (millions) the artists currently have, their number of Facebook fans (millions), and the number of weeks they did not make the coveted JJ's Top 50 list in the last 12 months. A random sample of 45 popular new artists was collected (see partial data in the following table). New YouTube views Facebook fans Weeks off Albums sold Artist (millions) (millions) Top 50 ('000) 1 92.9 12.88 29.2 42.906 233.21 11. 17 27.5 65.205 105.34 3.2 37.7 21.54 The researcher used software to generate a multiple linear regression output for the data. The results are shown below (some values are missing). a) Determine the missing values. Report answers accurate to at least 5 decimal places where necessary. Do not round intermediate results. Multiple R R Square Adjusted R2 Standard Error Observationsdf SS MS F Regression 3 9189.0302 Residual 41 1601.6402 39.0644 Total 44 Coefficient Standard Error t-stat p-value Intercept -15.187748 14.424621 0.2986 You Tube 0.011965 22.24187 0.0000 Facebook 1.914469 4.44057 0.0000 Top 50 0.364441 0.34265 0.7336 b) What percent of the variation in the dependent variable is not explained by the independent variables in this model? Round percent to 1 decimal place c) Use the regression coefficients from the output to estimate the number of albums sold (units) for a new artist with 194 million YouTube views, having 2,587,070 Facebook fans, and with exactly 3 months off JJ's Top 50 list. d) Suppose the regression equation from the output is used to predict the number of albums sold by a new artist to be 16,136. If the artist has 56 million YouTube views and has successfully made JJ's Top 50 list 52.5% of the time in the last 12 months, how many Facebook fans (in thousands) does the artist have? Round to the nearest thousand