Annual high temperatures. in a certain location have been tracked for severalyears. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line {each value to two decimal places}. Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator! X y 3 17.23 4 21.34 5 23.05 6 25.16 7 25.27 8 29.48 9 30.29 10 34.5 T =Based on the data shown beLow, caLculate the regression Line {each value to two decimaL places} An experiment is run. The mass of an object is recorded over time. Plot the points in the grid below. 3&4 45- 49a 35 M 25- 29 5 M 15 2E] 25 3E] 35 4G 45 5!? ClearAll Draw: Dot Using your calculator, run a Linear regression to determine the equation of the line of best fit Round to two decimal places, use x for the variable. You wish to determine if there is a positive linear correlation between the two variables at a significance level of o = 0.005. You have the following bivariate data set. X y 45.6 42.9 25.4 38 57.1 104 14 7.2 19.2 11.8 18.6 2.2 -5.5 17.1 3.6 28 53.5 29.1 69.4 16.7 41.6 32.B 46.1 62 72.8 31.8 30.5 11.3 -4.6 33 49.2 46 78.9 45.1 20.3 26.4 $5.2 19.4 41.5 24.8 42.8 31.9 42.8 -4 16.9 1.1 13 21.5 70.8 59.3 126.4 28.6 101.3 24.1 33.5 -10.3 22 10.5 21.3 30.2 32.9 27.7 15.7 43.1 46.2 23.9 48.3 30.9 49.6 11.4 B.3 24 39.9 24.9 5.3What is the correlation coefficient for this data set? To find the p-value for a correlation coefficient, you need to convert to a t-score: t _ raft: 2} 1 r3 This t-score is from a t-distribution with n-Z degrees of freedom. What is the pvalue for this correlation coefficient? Your final conclusion is that... Q There is insufficient sample evidence to support the claim the there is a positive correlation between the two variables. 0 There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations
