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Ctri Options (1 of 2) Options (2 01 2) Simple linear regression results: endent Variable. AZ Population (miton) Arizona Population 1940-2020 mident Varuble: Years after 1900 - Fitted line Population AZ Population in Millions (tion)=-3.9157778 - 0.0901 Years after 1900 Sample sice. 9 RIcorrelation coeficients . 0.97896654 -30 - 0.95837560 or 0:54973962 Parameter estimates: Parameter Estimate Sted. Err. Alternative DF T-Stat P-value intercept -19157778 0.5064075 20 7 6 5634068 0800 Slope 0.0901 0.007097108 #0 7 12:695312 0/0001 Analysis of variance table for regression model: Source OF 55 F-stat P-value Mode 48 76806 48 70836 161 17095 -0.4321 Error 7 21154956 0.30221 365 Total 8 50.823556 Years after 1900 Question #1: A scatter plot of the data is shown. Notice that years after 1900 are on the horizontal axis and population in millions is on the vertical axis. Describe the relationship between the two variables shown on the scatter plot (include pattern and association) (3 points) Question #2: Identify the slope in your least squares regression line and describe what it represents (using appropriate units). (3 points) Question #3: Look at the critical value table for a correlation coefficient and identify the value given for a sample of size 9. Compare the value from the table to the correlation coefficient computed in StatCrunch (1=.97897). Is a linear model a good fit for this data set? Explain why or why not? (3 points) Question #4: Use your linear model to estimate the population in 1980 (80 years after 1900). Compare your estimate to the actual value in the table above. (3 points) Question #5: Use your linear model to estimate the population in 2040. Do you think this prediction is reasonable? Why or why not? (3 points) Table Arizona year years after 19001 MAT 167 WA 3Diss linage.pdf unmullions 1940 Unread 40 0. 50 Search entries or author 1950 50 0 . 75 Reply 1960 LD 1.30 Replies are only visible to those who have posted at least one reply. 1970 70 1-77 19 80 2- 72 19 90 90 3.67 2000 10 0 5. 13 20TO 110 6- 41 20 20 20 7:38