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 J's Top 50 list in the last 12 months. A random sample of 47 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 84.22 1.54 35.6 12.222 2 105.66 9.93 24 36.289 3 51.58 10.82 27.7 25.824 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 0.93128 Adjusted R2 0.92649 Standard Error Observations 47 df SS MS F Regression 3 21926.49120 7308.8304 194.2421 Residual 43 1617.97820 37.6274 Total 46 23544.46940Coefficient Standard Error t-stat p-value Intercept 9.15750 13.260209 0.6906 0.4936 YouTube 0.215788 0.01030 20.9564 0.0000 Facebook 1.059148 0.372262 2.84517 0.0068 Top 50 -0.490938 0.35007 -1.40239 0.1680 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 6.9 % c) Use the regression coefficients from the output to estimate the number of albums sold (units) for a new artist with 55 million YouTube views, having 9,710,425 Facebook fans, and with exactly 1.5 months off J's Top 50 list. [Hint: 1 year = 52 weeks] 10284795.1 *d} Suppose the regression equation from the output is used to predict the number of albums sold by a new artist to be 145094. If the artist has 8? million YouTube views and has successfully made JJ's Top SCI list 32.5% of the time in the last 12 months, how man}:r Facebook fans {in thwsands} does the artist have? Round to the nearest thousand. :1