10.3 Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below areshoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlationcoefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlationbetween the two variables. Based on these results, does it appear that police can use a shoe print length to estimate theheight of a male? Use a significance level of α =0.05.Shoe Print (cm)Foot Length (cm)Height (cm)Height (cm)Construct a scatterplot. Choose the correct graph below.O A.200-160+25HShoe Print (cm)33.130.7 30.7 32.725.0 26.0 27.7 26.6173.8 174.8 184.1 179.235B.200-160+25The linear correlation coefficient is r =0.(Round to three decimal places as needed)●Shoe Print (cm)3527.924.7169.2200-160+25Shoe Print (cm)35200-160+25€●Shoe Print (cm)35 Determine the null and alternative hypotheses.Ho: PH₁: P(Type integers or decimals. Do not round.)The test statistic is(Round to two decimal places as needed.)The P-value is.(Round to three decimal places as needed.)Because the P-value of the linear correlation coefficient isthe significance level, thereclaim that there is a linear correlation between shoe print lengths and heights of males.Based on these results, does it appear that police can use a shoe print length to estimate the height of a male?O A. Yes, because shoe print length and height do not appear to be correlated.B. No, because shoe print length and height appear to be correlated.OC. Yes, because shoe print length and height appear to be correlated.O D. No, because shoe print length and height do not appear to be correlated.sufficient evidence to support the

Shoe Print(cm)Foot length(cm)Height(cm)30.725173.830.726174.832.727.7184.133.126.6179.227.924.7169.2Steps for the scatter plot using excel are given below:Step 1) Enter the data into two columns.Step 2) Click and drag to select the range of data to be included in the scatter plot (both x and y values).Step 3) Go to the "Insert" tab on the Excel ribbon.Step 4) Click on "Scatter" or "Scatter and Bubble Chart" and select the type of scatter plot.Step 5) Scatter plot can be customized by right-clicking on various chart elements and selecting "Format" options.Output:The correct graph that represents the scatter plot for the given data is option (C).Construct the table using the given data: XYX*YX*XY*Y30.7173.85335.66942.4930206.4430.7174.85366.36942.4930555.0432.7184.16020.071069.2933892.8133.1179.25931.521095.6132112.6427.9169.24720.68778.4128628.64Sum155.1881.127374.294828.29155395.6Determine the correlation coefficient using the formula: The linear correlation for the shoe print and height of a male is 0.910.Null Hypothesis H0: The population correlation coefficient is not significantly different from 0.Alternate Hypothesis HA: The population correlation coefficient is significantly different from 0.Significance level = 0.05Degree of freedoms:- Test statistics:- P-value = P(t < - 3.80) + P(t > 3.80) Use the excel formula, "=T.DIST.2T(3.80,3)" to determine the P-value. P-value = 0.032Since P value(0.032) is less than the significance value(0.05), hence we have to reject the null hypothesis. Because the P-value of the linear correlation coefficient is less than significance level, there is sufficient evidence to support the claim that there is a linear correlation between shoe print lengths and heights of males.Hence it appears that police can use a shoe print length to estimate the height of a male. Because shoe print length and height of a male appear to be correlated.The correct answer is option (C).Steps for the scatter plot using excel are given below:Step 1) Enter the data into two columns.Step 2) Click and drag to select the range of data to be included in the scatter plot (both x and y values).Step 3) Go to the "Insert" tab on the Excel ribbon.Step 4) Click on "Scatter" or "Scatter and Bubble Chart" and select the type of scatter plot.Step 5) Scatter plot can be customized by right-clicking on various chart elements and selecting "Format" options.Output:The correct graph that represents the scatter plot for the given data is option (C).The linear correlation for the shoe print and height of a male is 0.910.Null Hypothesis H0: The population correlation coefficient is not significantly different from 0.Alternate Hypothesis HA: The population correlation coefficient is significantly different from 0.Significance level = 0.05t = 3.80P-value = 0.032Since P value(0.032) is less than the significance value(0.05), hence we have to reject the null hypothesis. Because the P-value of the linear correlation coefficient is less than significance level, there is sufficient evidence to support the claim that there is a linear correlation between shoe print lengths and heights of males.Hence it appears that police can use a shoe print length to estimate the height of a male. Because shoe print length and height of a male appear to be correlated.The correct answer is option (C).

Math

Statistics

Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of α = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) 30.7 30.7 32.7 33.1 27.9 Q 24.7 25.0 26.0 27.7 26.6 173.8 174.8 184.1 179.2 169.2 Construct a scatterplot. Choose the correct graph below. A. B. D. Q 200- 200- 200- 200- TRAL IN THE STATE 160+ 160+ 160- 160- 25 35 25 35 25 35 25 35 Shoe Print (cm) Shoe Print (cm) Shoe Print (cm) Shoe Print (cm) The linear correlation coefficient is r =