Hi, can someone help me with and explain these questions to me, please? Thank you!

1) We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 1137 vehicles in the government's 2013 Fuel Economy Guide give the regression line highway mpg = 6.785 + (1.033 city mpg) for predicting highway mileage from city mileage.

1.1) What is the slope of this line? (Enter your answer to three decimal places.)

3) We found some measurement error in our recordings of sea surface temperature and coral growth. The new data values are below, and the equation predicting coral growth y from mean sea surface temperature x is ? = 11.6921 ? 0.30305x.

Sea Surface Temperature 29.68 29.87 30.16 30.22 30.48 30.65 30.90

Growth 2.63 2.58 2.68 2.60 2.48 2.38 2.26

3.1) Use the above least squares equation to obtain the seven residuals step by step. That is, find the prediction ? for each x value of mean sea surface temperature, and then find the residual y ? ?. (Round your answers to three decimal places.)

?

y - ?

3.2) Find the sum of the residuals (up to roundoff error). (Round your answer to 3 decimal places.)

3.3) The residuals are the part of the response y left over after the straight-line tie between y and x is removed. Find the correlation between the residuals and x values. (Round your answer to 3 decimal places.)

9) Refer to set up in Problem 1, but use the numbers below.

Wine Risk

2.5. 1

8.5. 1.08

15.5. 1.15

26.5. 1.22

Q9.1 1 Point Software tells us that the least-squares slope is b = 0.009012 with standard error of the slope SE; = 0.001112. What is the t statistic for testing Ho: B = 0? (Round your answer to three decimal places.) t = Enter your answer here Save Answer Q9.2 1 Point How many degrees of freedom does t have? df = Enter your answer here Save