Please help me with my practice questions, Ch. 14 & 15. Thank you,

1) For a sample of n = 18, the correlation between amount of ice cream sold and temperature was calculated to be0.61.What are the appropriate null and alternative hypotheses to test forcorrelation??

4) For a sample of n = 18, the correlation between amount of ice cream sold and temperature was calculated to be0.61.Based on the sample?results, we are testing to determine whether there is a significantcorrelationbetween these two variables.Use?=0.10.

Would you reject the null hypothesis that there is correlation between the 2 variables?

5) We have collected costs for private and state universities. Data is in dollars and was collected for 6 different regions. Use linear regression analysis where the cost for a private university is predicted by the cost of a state university. Calculate the beta and significance for private using?=0.05.

6) We have collected costs for private and state universities. Data is in dollars and was collected for 6 different regions. Use linear regression analysis where the cost for a private university is predicted by the cost of a state university. Calculate the beta and significance for private using?=0.05. Using your model, when the public cost is ?$8,000,what is the expected cost for a private university?

11) If a sample correlation coefficientis r=.38 and the sample size is 15,which of the following is appropriate critical value for testing the null hypothesis of?= 0 at analpha=.05?level?

Question 1 (1 point) For a sample of n = 18, the correlation between amount of ice cream sold and temperature was calculated to be 0.61. What are the appropriate null and alternative hypotheses to test for correlation? HO: p = 0 ; HA: p # 0 HO: p 2 0 ; HA: P 0If a sample correlation coefficient is r=.38 and the sample size is 15, which of the following is appropriate critical value for testing the null hypothesis of p = 0 at an alpha:.05 level? ()t=1761 ()t=z160 ()t=L753 ()t=1771 Question 4 (1 point) For a sample of n = 18, the correlation between amount of ice cream sold and temperature was calculated to be 0.61. Based on the sample results, we are testing to determine whether there is a significant correlation between these two variables. Use 01:0.10. Would you reject the null hypothesis that there is correlation between the 2 variables? 0 Yes, reject the null because the calculated t-statistic is greater than the critical t- value. 0 No, do not reject the null because the calculated t-statistic is less than the critical t-statistic. O No, do not reject the null because the calculated t-statistic is greater than the critical t-value. 0 Yes, reject the null because the calculated t-statistic is less than the critical t- statistic. Question 5 (1 point] We have collected costs for private and state universities. Data is in dollars and was collected for 6 different regions. Use linear regression analysis where the cost for a private university is predicted by the cost of a state university. Calculate the beta and significance for private using 0t=0.05. Ob # Pub Private 1 10,075 2,069 2 10,030 2,304 3 13,096 3,153 4 12,592 3,636 5 15,928 4,611 6 17,116 5,668 0 bl = 5,702, NOT significant at the 5% level 0 bl = 2.08, significant at the 5% level 0 bl = 2.08, NOT significant at the 5% level 0 bl = 5,702, significant at the 5% level Question 6 (1 point) We have collected costs for private and state universities. Data is in dollars and was collected for 6 different regions. Use linear regression analysis where the cost for a private university is predicted by the cost of a state university. Calculate the beta and significance for private using 0(=0.05. Using your model, when the public cost is $8,000, what is the expected cost for a private university? Ob# Pub Private 1 10,075 2,069 2 10,030 2,304 3 13,096 3,153 4 12,592 3,636 5 15,928 4,611 6 17,116 5,668 0 $45,762 Q $22,330 0 $13,720 0 $16,640