COMPUTER CALCULATIONS:

I need to know how to code in R for the solutions, notby hand.

2. Look at the data in Table 7.18 on page 368 of the textbook.These data are also

given in the SAS code labeled “SAS_basketball_goal_data” and Rcode labeled basketball goal data .

The dependent variable is goals and the independent variable isheight of basketball players.

Complete a SAS /R program and answer the following questionsabout the data set:

(a) Does a scatter plot indicate a linear relationship betweenthe two variables?

Is there anything disconcerting about the scatter plot?Explain.

(b) Fit the least-squares regression line (using SAS / R) andinterpret the estimated slope

in the context of this data set. Does it make sense to interpretthe estimated intercept? Explain.

(c) For these data, what is the unbiased estimate of the errorvariance? (Give a number.)

(d) Using the SAS / R output, test the hypothesis that the trueslope of the regression line

is zero (as opposed to nonzero). State the appropriate null andalternative hypotheses,

give the value of the test statistic and give the appropriateP-value. (Use significance

level of 0.05.) Explain what this means in terms of therelationship between the two

variables.

(e) Using SAS / R, find a 95% confidence interval for the meanbasketball goal for

a player with a height of 77 inches. In addition find a 95%prediction interval for

basketball goal for a player with a height of 77 inches.

Data:

Height	Goals
71	15
74	19
70	11
71	15
69	12
73	17
72	15
75	19
72	16
74	18
71	13
72	15
73	17
72	16
71	15
75	20
71	15
75	19
78	22
79	23
72	16
75	20
76	21
74	19
70	13