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 46 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) 241.54 5.4 28.2 64.848 206.22 13.38 20.6 71.927 3 182.19 9.02 27.2 56.054 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 0.973767719 R Square 0.94822357 Adjusted R2 0.944525253 Standard Error 5.321479644 Observations 46df MS F Regression 3 21781.7484 7260.5828 256.3933 Residual 42 1189.3621 28.3181456 Total 45 2297 1.1105 Coefficient Standard Error t-stat p-value Intercept 12.323378 12.467188 0.988464921 0.3286 YouTube 0.239866 0.010435 22.98668 0.0000 Facebook 0.993907524 0.337811 2.9422 0.0052 Top 50 -0.527125 0.317266 -1.66146073 0.1040 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 5.2 () Use the regression coefficients from the output to estimate the number of albums sold (units) for a new artist with 128 million YouTube views, having 4,286,636 Facebook fans, and with exactly 84 months off J's Top 50 list. [Hint: 1 year = 52 weeks] 7607.48053 d) Suppose the regression equation from the output is used to predict the number of albums sold by a new artist to be 17,883. If the artist has 36 million YouTube views and has successfully made J's Top 50 list 55%% of the time in the last 12 months, how many Facebook fans (in thousands) does the artist have? Round to the nearest thousand. 10906.996