Question

The data in the accompanying table represent the heights and weights of a random sample of professional baseball players. Complete parts ​(a) through ​(c) below.

Data:

Player   Height (inches)   Weight (pounds)
Player_1   75   227
Player_2   75   197
Player_3   72   180
Player_4   82   231
Player_5   69   185
Player_6   74   190
Player_7   75   228
Player_8   71   200
Player_9   75   230

​(a) Draw a scatter diagram of the​ data, treating height as the explanatory variable and weight as the response variable. Choose the correct graph below.

(b) Determine the​ least-squares regression line. Test whether there is a linear relation between height and weight at the

alphaαequals=0.05 level of significance.

Determine the​ least-squares regression line. Choose the correct answer below.

A. ModifyingAbove y with caretyequals=4.0284.028xnegative 92.1−92.1

B. ModifyingAbove y with caretyequals=4.0284.028xnegative 94.1−94.1

C. ModifyingAbove y with caretyequals=negative 92.1−92.1xplus+4.0284.028

D. ModifyingAbove y with caretyequals=8.0288.028xnegative 92.

Determine the​ P-value for this hypothesis test.

​P-value equals=? (Round to three decimal places as​ needed.)

​(c) Remove the values listed for Player 4 from the data table. Test whether there is a linear relation between height and weight. Do you think that Player 4 is​ influential?

Determine the​ P-value for this hypothesis test.

​P-valueequals=? ​(Round to three decimal places as​ needed.)

Do you think that Player 4 is​ influential?

Yes

No

Answer 1