Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights (cm) from several recent presidential elections. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value ofr. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.05. Click the icon to view the heights of the candidates. Construct a scatterplot. Choose the correct graph below. OA. 200 160+ 724 POK 160 200 President Height (cm) Q 2 The linear correlation coefficientis r=- (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t= (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 is Should we expect that there would be a correlation? O B. 200 160+ 160 29 199 200 President Height (cm) ² OA. No, because presidential candidates are nominated for reasons other than height. OB. No, because height is the main reason presidential candidates are nominated. OC. Yes, because height is the main reason presidential candidates are nominated. OD. Yes, because presidential candidates are nominated for reasons other than height. Q G the significance level, there O C. Candidate Heights 200 160 KFT ‒‒‒‒ 160 200 President Height (cm) 2 O D. President 180 181 183 180 179 181 189 178 176 185 190 191 183 189 Opponent 175 179 177 176 183 178 177 182 185 180 172 186 186 172 6 200 HOPK OBE **** ++++ 160 200 President Height (cm) sufficient evidence to support the claim that there is a linear correlation between the heights of winning presidential candiates and the heights of their opponents. X 160+ Q Q G

Listed below are amounts of bills for dinner and the amounts of the tips that were left. 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. Use a significance level of α=0.01. If everyone were to tip with the same​ percentage, what should be the value of​ r?   Bill​ (dollars) 34.14 47.51 85.27 88.36 66.73 105.33   Tip​ (dollars) 3.51 5.55 16.44 17.42 6.69 13.97

The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a

Listed below are amounts of bills for dinner and the amounts of the tips that were left. 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. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)

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 a=0.05. Shoe Print (cm) 28.8 28.8. 32.1 32.6 Foot Length (cm) Height (cm) 25.2 181.7 24.9 173.5 27.5 27.6 27.5 25.9 186 169.1 171 Construct a scatterplot. Choose the correct graph below. OA. 200- 2 160+ Shoe Print (cm) 35 The linear correlation coefficient is r= (Round to three decimal places as needed.) B. 200- 160- 25 Shoe Print (cm) ○ C. 200- G 35 160+ 25 Shoe Print (cm) 35 OD. Q 200- Height (cm) G 160- 25 35 Shoe Print (cm)

The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a​ correlation? Use a significance level of α=0.05.   Best Actress - Best Actor 27 - 41 30 - 35 29 - 36 61 - 45 31 - 52 34 - 46 45 - 62 30 - 52 60 - 38 23 - 52 44 - 44 52 - 32   what is the linear coefficient?

find linear correlation coefficient, P value, and test statistic.

Listed below are the amounts of bills for dinner and the amounts of the tips that were left. 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. Use a significance level of α=0.01. If everyone were to tip with the same​ percentage, what should be the value of​ r?   Bill​ (dollars) 31.65 53.83 87.10 103.64 60.34 109.80   Tip​ (dollars) 3.74 5.76 14.73 16.86 7.44 20.73   1. The linear correlation coefficient is r=   2.  What are the null and alternative​ hypotheses?   3. The test statistic is t=   4. The P-Value is P=

The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a​ correlation? Use a significance level of α=0.05. LOADING... Click the icon to view the ages of the award winners.       Construct a scatterplot. Choose the correct graph below.     A.       20702070Best Actress (years)Best Actor (years)         A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted. Eleven of the plotted points follow the pattern of a line rising from left to right passing through the points (24, 38) and (66, 58). An…

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