help with this question please! thank you!

Suppose we would like to explore how the price of oranges affects the sales of oranges; where price = the price of oranges per pound in dollars, and sales = the orange sales per week in pounds. Using the data that we collected, we performed a LinRegTTest on the calculator, which gave us the following results.

LinRegTTest

y = a + bx

a = 90.35

b = - 5.98

R2= .85

(r is omitted on purpose)

a. [4 pts] Write down the regression equation, using words for the variables.

b. [4 pts] Interpret the slope in words, in the context of the problem.

c. [4 pts] Interpret the y-intercept in words, in the context of the problem.

d. [4 pts] Interpret R2in words, in the context of the problem

e. [4 pts] Calculate the linear correlation coefficient r. Use the value of r to comment on the direction and strength of the linear association between the predictor and response variables.

f. [4 pts] If the price increases by $2.50, how will the sales be affected according to our linear model? State the amount and direction of the change.

g. [2 pts] Is this linear model a good model for the data? Use the value of R2to justify your response.