Question

The following are data on age (in weeks) and crown-rump length (in millimeters) for fetuses. A scatterplot of the data is given to the right sary 2001 01 30 Age (x) 11 11 12 14 17 19 19 23 25 28 - Length (y) 65 65 108 108 159 166 177 227 233 282 0 10 20 a. Obtain the linear correlation coefficient b. Interpret the value ofr in terms of the linear relationship between the two variables c. Discuss the graphical interpretation of the value ofr. d. Obtain the value of the coefficient of determination by squaring r. a. (Round to three decimal places as needed) b. There is between the two variables c. The given graph is with the interpretation found in part (b) because the y-values appear to as the x-values increase and the data points appear Enter your answer in each of the answer boxes Save for Later O Type here to search D Be o e A A .

Answer 1

Ansi x 11 4 65 xy 715 x? 121 y? 4225 715 121 4225 4225 65 75 121 801 11664 1296 24 11664 196 1512 108 17 159 2703 289 25281 27556 3154 166 177 3363 227 5921 361 361 31329 529 51529 625 54289 784 79524 Exy = 32400, Ex = 3531 233 282 5825 7896 1 28 Ex=179 Ey = 1590, €42 - 301286 nExy - EX.EY I a) Correlation Coefficient (8) = 7 forex? (Ex)» (e y ² (Eye 16 (32400) - 179 (1590) = 10.990 = Tio (353) -17] [10(30128C) -15902] Y = 0.990 b) there is a strong posetive correlation between two variables, Strice = 0.990

c) Approximately all the values in the scasserplet I are on the same lone, so as x increases y also Increases and are breasly correlated. 1 d) Coefficent of determination (rf - ror - 0.99040.990 =10.980 )