12.94 A study was conducted to determine the factors that influencing consumer purchase intentions using 102 consumers’ feedback and obtained the following least squares model:

yn = 9.958 + 4.495x1 + 2.837x2 - 2.329x3 10.2482 11.7922 10.3752 R2 = 0.5186 where yn = purchase intentions rate x1 = monthly income (€ in thousand)
x2 = product price (€ in thousand)
x3 = product knowledge (scale 1 to 10)
The numbers in parentheses under the coefficients are the estimated coefficient standard errors.

a. Interpret the estimate of b1.

b. Find and interpret a 95% confidence interval for b2.

c. Test, against a two-sided alternative, the null hypothesis that b3 is 0, and interpret your result.

d. Interpret the coefficient of determination.

e. Test the null hypothesis that b1 = b2 = b3 = 0.

f. Find and interpret the coefficient of multiple correlation.
g. Predict the purchase intentions rate of a person who has monthly income of €2,500 wants to purchase a product priced €749 and has knowledge on the product of 7.