d. What type of variable is the response (categorical or quantitative)? How about the explanatory rariable? e. What is the predicted length of the jump for an thlete who is 72 inches tall? f. Interpret what the 1.0534 represents. g. Does the intercept of 6.4285 inches have any useful interpretation to the coach?

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Only need part i, j, k. Thank you for the help!

1. A high school track & field coach wanted to asses the relationship between an athletes height and
how far they can jump in the long jump event (both in inches). They collect data on each athletes
height and how far they can jump. Let the height of the athlete be the explanatory variable (X)
and the length of the jump be the response (Y).
The scatterplot of the data is as follows:
distance
Scatter Plot
88 -
86
84
80
ertyof Sevan K
8
78
68
70
72
74
76
78
height
00a 00
0 o 000
00
Transcribed Image Text:1. A high school track & field coach wanted to asses the relationship between an athletes height and how far they can jump in the long jump event (both in inches). They collect data on each athletes height and how far they can jump. Let the height of the athlete be the explanatory variable (X) and the length of the jump be the response (Y). The scatterplot of the data is as follows: distance Scatter Plot 88 - 86 84 80 ertyof Sevan K 8 78 68 70 72 74 76 78 height 00a 00 0 o 000 00
Now say a simple linear regression model is fit to the data. Fitting the simple linear regression
model, the estimated regression equation is:
Y = 6.4285 +1.0534X
d. What type of variable is the response (categorical or quantitative)? How about the explanatory
variable?
e. What is the predicted length of the jump for an athlete who is 72 inches tall?
f. Interpret what the 1.0534 represents.
kở, Culess
g. Does the intercept of 6.4285 inches have any useful interpretation to the coach?
h. Can the coach conclude the taller the athlete is will cause them to jump farther?
i. The original units of measurement were Y=distance length in inches and X=height in inches.
Now say the response variable is recorded in feet NOT inches (there are 12 inches in one feet).
What will happen to the intercept estimate of 6.4285? Will it stay the same, increase, or decrease?
Explain in a sentence or two.
j. The original units of measurement were Y=distance length in inches and X=height in inches.
Now
the explanatory variable is recorded in feet NOT inches (there are 12 inches in one feet).
say
What will happen to the intercept estimate of 6.4285? Will it stay the same, increase, or decrease?
Explain in a sentence or two.
k. Continue with the situation in part j. Let pi be the correlation coefficient between distance
in inches and height in inches. Let p2 be the correlation coefficient between distance in inches and
height in feet. Is pi equal to, less than, or greater than P2. Explain in a sentence.
Transcribed Image Text:Now say a simple linear regression model is fit to the data. Fitting the simple linear regression model, the estimated regression equation is: Y = 6.4285 +1.0534X d. What type of variable is the response (categorical or quantitative)? How about the explanatory variable? e. What is the predicted length of the jump for an athlete who is 72 inches tall? f. Interpret what the 1.0534 represents. kở, Culess g. Does the intercept of 6.4285 inches have any useful interpretation to the coach? h. Can the coach conclude the taller the athlete is will cause them to jump farther? i. The original units of measurement were Y=distance length in inches and X=height in inches. Now say the response variable is recorded in feet NOT inches (there are 12 inches in one feet). What will happen to the intercept estimate of 6.4285? Will it stay the same, increase, or decrease? Explain in a sentence or two. j. The original units of measurement were Y=distance length in inches and X=height in inches. Now the explanatory variable is recorded in feet NOT inches (there are 12 inches in one feet). say What will happen to the intercept estimate of 6.4285? Will it stay the same, increase, or decrease? Explain in a sentence or two. k. Continue with the situation in part j. Let pi be the correlation coefficient between distance in inches and height in inches. Let p2 be the correlation coefficient between distance in inches and height in feet. Is pi equal to, less than, or greater than P2. Explain in a sentence.
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