Reference no: EM132514563

Question 1: A computer software developer would like to use the number of downloads (in thousands) for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars) he can make on the full version of the new shareware. Following is the SPSS output from a simple linear regression obtained from a data set of 30 different sharewares that he has developed:

Source df SS MS F

Regression 1 -------------- --------------- ------------

Residual 28 55388.4309 ---------------

Total 29 226451.3503

Model Coefficients Standard Error t- Stat

Intercept -95.0614 26.9183. -3.5315

Download 3.7297 0.4011. ----------

a) Compute the t-statistic for download.

b) Interpret the coefficient for download.

c) State the multiple regression equation.

d) Predict the revenue when the number of downloads is 30 thousand.

e) Complete the ANOVA table in the answer booklet.

f) Compute and interpret the coefficient of determination.

g) At the 0.05 level of significance, is there evidence of a linear relationship between the revenue and the number ofdownloads?

Question 2

The management of a supermarket wanted to investigate if the percentages of men and women who prefer to buy national brand products over the store brand products are different. A sample of 600 men shoppers at the company's supermarkets showed that 246 of them prefer to buy national brand products over the store brand products. Another sample of 700 women shoppers at the company's supermarkets showed that 266 of them prefer to buy national brand products over the store brand products.

a) At the 5% level of significance, can you conclude that the proportions of all men and women shoppers at these supermarkets are different?

b) Calculate and interpret the p - value.