Standing Reach in the NBA ~ Standing reach measures how high someone can reach with their hands while standing flat-foot

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Standing Reach In The Nba Standing Reach Measures How High Someone Can Reach With Their Hands While Standing Flat Foot 1 (131.61 KiB) Viewed 25 times

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 40 of these players to construct a linear regression model using Wingspan as the explanatory variable and Standing Reach as the response variable. A scatterplot of Arnold's data is given below. NBA Players 110 105 Standing reach in inches 100 95 06
● 70 75 80 85 Wingspan in inches 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|) (Intercept) 1.477 0.148 10.39 7.033 1.122 0.08585 13.072 Wingspan 1.22e-15 Residual standard error: 2.199 on 38 degrees of freedom Multiple R-squared: 0.8181, Adjusted R-squared: 0.8133 1. Use the computer output to write the estimated linear regression equation for predicting Standing Read from Wingspan. = X 2. Which of the following is the correlation coefficient for the linear relationship between Standing Reach and Wingspan? O A. 0.8181 OB. -0.9045 OC. -0.8181 O D. 0.9045 3. Each additional 1 inch of Wingspan is associated with a(n) ??? of inches in Standing Reach. +
4. What is the expected Standing Reach if a player has a Wingspan of 0 inches? 5. The wingspan of Anthony Brown is 83.25 inches. Calculate the estimated value for the standing reach of Anthony Brown that is predicted by the linear model. Estimated value = 6. Anthony Brown's standing reach is measured as 104.5 inches. Use this information and your result from part 5 to calculate the residual for this player. Residual = 7. What are the null and alternative hypotheses to test if there is a linear relationship between Standing Reach and Wingspan? OA. Ho b₁ = 0 vs. H₁ : b₁ #0 OB. Ho : B₁ = b₁ vs. HA ₁ ‡ b₁ OC. Ho: P₁ = 0 vs. HA: P₁ > 0 OD. Ho: P₁ = 0 vs. H₁ B₁ 0 8. Based on the computer output, what is the test statistic for the test in part 7? Test statistic: 9. Based on the computer output, the results of the hypothesis test tell us that we have ? V evidence that there ??? ✓a linear relationship between Standing Reach and Wingspan.
10. Use information from the computer output to calculate a 95% confidence interval for the slope, ₁, of the regression line predicting Standing Reach from Wingspan. IMPORTANT! You MUST use a t* value rounded to EXACTLY 3 decimal places in this calculation. Round your final answers to 4 decimal places. ( )