Question

1. 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

alphaαequals=0.05

Shoe Print​ (cm)	29.4	29.7	30.6	30.8	27.9
Foot Length​ (cm)	26.5	25.5	28.2	26.7	25.0
Height​ (cm)	169.5	179.3	181.5	170.7	169.9

a. the linear correlation coefficient r is ?(round to 3 decimal)

b. The test statistic?

c. The P value?

2.

Listed below are annual data for various years. The data are weights​ (metric tons) of imported lemons and car crash fatality rates per​ 100,000 population. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using alphaαequals=0.05

Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality​ rates? Do the results suggest that imported lemons cause car​ fatalities?

Lemon Imports	228	266	358	482	533
Crash Fatality Rate	15.8	15.7	15.5	15.3	14.8

a. the linear correlation coefficient r is ?(round to 3 decimal)

b. The test statistic?

c. The P value?

Answer 1

a= shoe print, y = height , n=5. a) 4= Cor (y) = (0.446., b) to= a Sn-2 -10.869]. e) p-voue = 2.Plt>0.664) = 10.451). ②. a- lemon imports, y= crash fatality rate, m=s. a) *= cos (x,y) = -0.946). b) to 2 osmaz - 5-091) 041 Vinsa cae) P-value = 2. p (tz/ -5.041 - Jo. 015) Scanned with CamScanner