Here is the output of the linear regression test for the study of body size and longevity in fruit flies. Based on the output, what is the value of the intercept? (Write your answer to the 4th decimal place) Seed regression |t|) (Intercept) -0. 0017087 0. 0024716 -0. 691 0. 498 fleckDuration 0. 0025295 0. 0004483 5.642 1. 93e-05 *# # Signif. codes: *#*' 0.001 #* ' 0.01 '*' 0.05 ' .' 0.1 ' ' 1 Residual standard error: 0.004488 on 19 degrees of freedom Multiple R-squared: 0.6262, Adjusted R-squared: 0. 6066 F-statistic: 31.84 on 1 and 19 DF, p-value: 1.934e-05The best description of a problem arising from pseudoreplication is which of the following? O Our calculated condence intervals are too large. 0 Our calculated standard errors are too large. 0 We believe we have a larger sample size than we really do. 0 We believe we have a smaller sample size than we really do. When we evaluate the assumptions of a linear regression, we expect to see all of the following EXCEPT: O The X and Y variables are both distributed normally O The X and Y values have a linear relationship with one another O The variance of Y values are the same at all values of X O We see a circular or elliptical cloud of points when we make a scatter plot of the X and Y valuesHere is the output of the linear regression test for the study of body size and longevity in fruit flies. Based on the output, what would be the residual correspodeng to a data point with a value of X = 5 and Y = 0.005? Seed regression |t|) (Intercept) -0. 0017087 0. 0024716 -0.691 0. 498 fleckDuration 0. 0025295 0. 0004483 5.642 1. 93e-05 *#* Signif. codes: 0 '*#*' 0.001 6#*' 0.01 '*' 0.05 . . ' 0.1. ' Residual standard error: 0.004488 on 19 degrees of freedom Multiple R-squared: 0.6262, Adjusted R-squared: 0. 6066 F-statistic: 31.84 on 1 and 19 DF, p-value: 1.934e-05Here is the output of a linear regression test for the study of sun fleck patches and growth in weed species in a forest. Based on the output, does area of a sun fleck (fleckDuration) significantly predict the growth (growth) of weed species? Seed regression |t|) (Intercept) -0. 0017087 0. 0024716 -0.691 0. 498 fleckDuration 0. 0025295 0. 0004483 5.642 1.93e-05 *# # Signif. codes: 0 '**#' 0.001 #* ' 0.01 ' *' 0.05 ' .' 0.1 '1 Residual standard error: 0. 004488 on 19 degrees of freedom Multiple R-squared: 0.6262, Adjusted R-squared: 0. 6066 F-statistic: 31.84 on 1 and 19 DF, p-value: 1.934e-05 O Yes O NoYou are only given the following information about a correlation test: t = 4.04, df = 6, 95% confidence intervals = 0.379 and 0.973, cor = 0.855 What is the r value? [Provide your answer with 3 decimal places and only include the numerical value]Which of the following statements is true based on this residual plot g? [Select all that apply] 102034: 0' MMHMI -10 40-20 O The data are not independently sampled O The data are not normally distributed across values of X D The data are normally distributed across values of X5 You are only given the following information about a correlation test: t = 4.04, df = 6, 95% confidence intervals = 0.379 and 0.973, cor = 0.855 What can you conclude about this test? O You likely fail to reject the null hypothesis because the 95% confidence intervals do not include the null r value O You likely fail to reject the null hypothesis because the 95% confidence intervals include the null r value O You will likely reject the null hypothesis because the 95% confidence intervals do not include the null r value O You will likely reject the null hypothesis because the 95% confidence intervals include the null r valueHere is the output of the linear regression test for the study of body size and longevity in fruit flies. Based on the output, what is the slope of the regression line? Write your answers the 4th decimal place. Seed regression |t|) (Intercept) -0. 0017087 0. 0024716 -0.691 0. 498 fleckDuration 0. 0025295 0. 0004483 5.642 1.93e-05 *## Signif. codes: 0 *#*' 0.001 6#*' 0.01 6*' 0.05 ' . ' 0.1 ' ' 1 Residual standard error: 0. 004488 on 19 degrees of freedom Multiple R-squared: 0.6262, Adjusted R-squared: 0. 6066 F-statistic: 31.84 on 1 and 19 DF, p-value: 1.934e-05Which figure shows a lower uncertainty in the estimated value for the true Y value? A B Song Frequency Number of fish species 0 2 20000 40000 60000 80000 Katydid file length Area of Desert pool O A O BBased on this scatterplot, which is the correct correlation coefficient for these data? 20 15 10 Y 5 0 7.5 10.0 12.5 15.0 X O -0.87 O -0.51 O -0.09 O 0.51 O 0.87