A sample of 75 undergraduates were asked to participate in a study to investigate the relationship...

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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?

at 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 There 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 erip) Residuals: Min10 Median 30 Max 26.0207-3.6720 0.4165 4.2918 14.9288 Coefficients: Estimate Std. Error t value Pr(Itl) 30.067210.0338 2.997 0.00373** (Intercept) Forearm.Circumference 2.9496 .3924 7.517 0.000000000113 **

Signif. codes : 0 . . 0.001 .** อ.01 . 0.05 θ.1 · . 1 Residual standard error: 6.424 on 73 degrees of freedom Multiple R-squared: 0.4363, Adjusted R-squared: 0.4286 F-statistic: 56.51 on 1 and 73 DF, p-value: 0.0000000001132 Based on this output, what is the equation of the line that best fits these data: grip strength- I x Forearm circumference Please enter two values Mark 1.00 out of 1.00 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 Check

math Statistics-And-Probability

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Answer 1

Answer #1

1) Most correct interpretation of plot:

Answer: There is moderate positive relationship between grip strength and forearm circumference.

2) The equation of the line that best fits these data

Answer:

grip strength = -30.0672 + 2.9496 x forearm circumference.

3) Assumptions is not necessary for all these output to be useful

Answer: The observations are all recorded on the same day.

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Answer 2

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A sample of 75 undergraduates were asked to participate in a study to investigate the relationship...

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