Standing Reach in the NBA ~Standing reach measures how high someone can reach with their hands while standing flat-footed. In basketball, a large standing reach can help a player get shots off against a defender, as well as increase their ability to block shots from opposing players.Arnold is a basketball fan who wonders if a player's standing reach can be predicted from their wingspan. A person's wingspan is the distance from the fingertips of one hand to the other when their straightened arms are raised parallel to the ground at shoulder height. Arnold obtains measurement data for players who were drafted by a National Basketball Association team between 2009 and 2017. He randomly selects 47 of these players to construct a linear regression model usingWingspanas the explanatory variable andStanding Reachas the response variable.

A scatterplot of Arnold's data is given below. Arnold fits a linear model to the data using the statistical software, R. A summary of that model fit is given below:

Coefficients	Estimate	Std Error	t value	Pr(>|t|)Pr(>|t|)
(Intercept)	18.44	4.381	4.21	0.00012
Wingspan	1.032	0.05321	19.389	1.78e-23

Residual standard error: 1.665 on 45 degrees of freedom Multiple R-squared: 0.8931, Adjusted R-squared: 0.8907

1.Use the computer output to write the estimated linear regression equation for predictingStanding ReachfromWingspan. y^= ???????? + ???????? x

2.The following is the correlation coefficient for the linear relationship betweenStanding ReachandWingspan? A. 0.945

3.Each additional 1 inch ofWingspanis associated with an increase of ?????? inches inStanding Reach.

4.What is the expectedStanding Reachif a player has aWingspanof 0 inches?

5.The wingspan of Troy Williams is 80.25 inches. Calculate the estimated value for the standing reach of Troy Williams that is predicted by the linear model.

Estimated value =?????

6.Troy Williams's standing reach is measured as 102 inches. Use this information and your result from part5to calculate the residual for this player.

Residual =??????

7.What are the null and alternative hypotheses to test if there is a linear relationship betweenStanding ReachandWingspan?A.H0:1=0H0:1=0vs.HA:10HA:10 (correct answer)

8.Based on the computer output, what is the test statistic for the test in part7?

Test statistic: ?????

9.Use information from the computer output to calculate a 95% confidence interval for the slope,1, of the regression line predictingStanding ReachfromWingspan.

IMPORTANT!You MUST use a t* value rounded toEXACTLY3 decimal places in this calculation.

Round your final answers to 4 decimal places.( ?????, ?????)