The store manager of a piano distributor believes the demand for a particular type of piano may be related to the number of Yelp reviews about a demonstration video promoted by the company's marketing team during the preceding month. The store manager has collected the data shown in the following table
Yelp reviews Piano Sales
30 8
40 11
70 12
60 10
80 15
50 13
a. Graph these data to see whether a linear equation might describe the relationship between the reviews from Yelp and piano sales
b. Compute the SST, SSE, AND SSR. Find the least-squares regression line for these data.
c. Using the regression equation, predict piano sales if there were 40,000 reviews last month.
d. Test to see if there is a statistically significant relationship between sales and Yelp reviews at the 0.05 level of significance
e. Using computer software, find the least-squares regression line. Based on the F test, is there a statistically significant relationship between the demand for pianos and the number of Yelp reviews?