Question

A sample of 75 undergraduates were asked to participate in a study to investigate the relationship between a persons grip strength (in newtons) and their forearm circumference (in centimeters). The following plot shows a scatterplot of these data. 24 26 28 30
Forearm.Circumference What is the most correct interpretation of this plot? OThere is a no clear relationship between grip strength and forearm circumference OThere is a weak negative relationship between grip strength and forearm circumference OThere is a moderate positive relationship between grip strength and forearm circumference OThere is a strong relationship between grip strength and forearm circumference The researcher applied a linear model using R to this data and obtained the following output: Call: 1m(formula Grip.Strength ~ Forearm.Circumference, data - grip) Residuals: Min 1Q Median 3Q Max
Residuals: Min 1Q Median 3Q Max -26.0207 3.6720 -0.4165 4.2918 14.9288 Coefficients: Estimate Std. Error t value -30.0672 10.0338 2.997 (Intercept) 0.00373*x Forearm.Circumference 2.9496 0.3924 7.517 0.00000 0000113 *xx Signif. codes: 00.0010.010.05 0.1 Residual standard error: 6.424 on 73 degrees of freedom Multiple R-squared: 0.4363, Adjusted R-squared: 0.42 86 F-statistic: 56.51 on 1 and 73 DF, p-value: 0.0000000001 132 Based on this output, what is the equation of the line that best fits these data
Based on this output, what is the equation of the line that best fits these data grip strength circumference Please enter two values each to 3 decimal places. x forearm Which of the following assumptions is NOT necessary for all this output to be useful: OThe observations are independent of each other OThe observations are just as likely to be above and below the fitted line The observations are all recorded on the same day The observations are scattered around the fitted line with constant variance This question is worth 4 marks
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Answer #1

Interpretation of this plot
option C) a moderate positive relationship


grip strength^ = -30.0672 + 2.9496 *forearm circum.

Assumption not necessary

option C)

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