The operations manager of a musical instrument distributor feels that demand for a particular type of guitar may be related to the number of YouTube views for a music video by the popular rock group Marble Pumpkins during the preceding month. The manager collected the data shown in the following table:

Views (1,000s) Guitar Sales

308

4011

7012

6010

8015

5013

(a) Graph these data (SPSS) to see whether a linear equation might describe the relationship between the views on YouTube and guitar sales (Scatter Plot, include the trend line).

(b) Compute the SST, SSE, and SSR. Find the least-squares regression line for these data.

(c) Using the regression equation, predict guitar sales if there were 40,000 views last month.

(d) Test to see if there is a statistically significant relationship between sales and YouTube views at the 0.05 level of significance.