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. (a) Draw a scatter diagram of the data, treating height as the explanatory variable and weight as the response variable.
Player Height_(inches)
Weight_(pounds)
Player_1 76 225
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
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.
(a) Draw a scatter diagram of the data, treating height as the explanatory variable and weight as the response variable.
(b) Test whether there is a linear relation between height and weight at the α=0.05 level of significance. Determine the least-squares regression line.
A. y =8.1308.130x – 99.6
B. y =negative 99.6−99.6x +4.130
C. y =4.1304.130x −101.6
D. y =4.1304.130x – 99.6
Test whether there is a linear relation between height and weight at the α=0.05 level of significance.
What is the null and alternative hypotheses?
Determine the P-value for this hypothesis test. P-Value =
(Round to three decimal places as needed.)
State the appropriate conclusion at the α=0.05 level of significance.
A.
Do not reject H0. There is not sufficient evidence to conclude that a linear
relation exists between the height and weight of baseball players.
B.
Reject H0. There is not sufficient evidence to conclude that a linear
relation exists between the height and weight of baseball players.
C.
Reject H0. There is sufficient evidence to conclude that a linear relation
exists between the height and weight of baseball players.
D.
Do not reject H0. There is sufficient evidence to conclude that a linear relation
exists between the height and weight of baseball players.
(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-value =
(Round to three decimal places as needed.)
What is the appropriate conclusion at the α=0.05 level of significance.
A.
Reject H0. There is not sufficient evidence to conclude that a linear
relation exists between the height and weight of baseball players.
B.
Do not reject H0. There is sufficient evidence to conclude that a linear relation
exists between the height and weight of baseball players.
C.
Do not reject H0. There is not sufficient evidence to conclude that a linear
relation exists between the height and weight of baseball players.
D.
Reject H0. There is sufficient evidence to conclude that a linear relation
exists between the height and weight of baseball players.
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