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Variable Names: GENDER: Gender of participants: 1: Boys, 2: Girls ESCALEDS: English Language Art Test administered by the local state. CLASSINT: Categorized version of the

Variable Names: GENDER: Gender of participants: 1: Boys, 2: Girls ESCALEDS: English Language Art Test administered by the local state. CLASSINT: Categorized version of the ESCALEDS: Intermediate: 1; Proficient: 2 NAEPREAD: NAEP reading test administered nationwide.

Q You're interested in examining the relationship between naepread and escaleds. More specifically, you would like to investigate predictive validity of English language art test (escaleds) administered by the Illinois State on a nationwide test called NAEP reading test (naepread). Please follow each step below to complete the investigation.

  1. Compute and comment on the correlation between naepread and escaleds.
  2. Create the scatter plot of naepread and escaleds. naepread is on y-axis (vertical axis) and escaleds is on x-axis (horizontal axis) and paste the plot below. What can you observe from the plot? What is the relationship between the two scores?

  1. A linear regression between naepread and escaleds. Let naepread be the dependent (response) variable and escaleds be the independent (predictor) variable.
  2. Draw the regression line in the scatter plot and paste the plot below.

  1. Report a table of results including the estimated coefficients, standard errors, t values, and corresponding p-values. What conclusions you can draw? Is the coefficient significantly different from 0? Interpret the intercept and slope parameters in APA format

4. Report the coefficient of determination ('Multiple R-squared' in the code output) and the Pearson correlation (r). Interpret the coefficient of determination.

  1. Report the predicted model.

naepread=

  1. If the escaleds score equals to 232, what is the predicted naepread score?

"gender" "escaleds" "classint" "naepread" "1" 1 200 1 138.420884638679 "2" 1 200 1 127.182295146272 "3" 1 200 1 126.900654770103 "4" 1 200 1 111.424624367611 "5" 2 200 1 108.615344664291 "6" 1 200 1 116.816591569275 "7" 1 200 1 115.873216941691 "8" 1 200 1 141.830392192283 "9" 1 200 1 143.368548770497 "10" 1 200 1 144.658609175981 "11" 1 200 1 132.566796069251 "12" 1 200 1 130.130807988539 "13" 2 200 1 151.55073494976 "14" 2 200 1 117.563327614056 "15" 2 200 1 135.409787077942 "16" 2 200 1 137.170299047881 "17" 2 200 1 87.8327741567965 "18" 1 200 1 157.980084603231 "19" 1 200 1 154.821078896283 "20" 2 214 1 201.81675416584 "21" 1 214 1 234.124566263557 "22" 1 200 1 122.957261269811 "23" 1 200 1 129.00698501199 "24" 2 200 1 141.349003725405 "25" 2 200 1 138.154452714971 "26" 2 200 1 112.940850326861 "27" 1 204 1 153.154803753859 "28" 2 216 1 207.603009225569 "29" 1 214 1 215.945941153311 "30" 1 228 1 253.520414011257 "31" 1 224 1 256.949998386693 "32" 1 204 1 155.525691098007 "33" 2 214 1 212.96744091114 "34" 1 214 1 237.274441985588 "35" 2 212 1 187.516287033252 "36" 2 220 1 218.017591716967 "37" 1 214 1 190.758919109434 "38" 1 206 1 157.284541039944 "39" 1 216 1 183.807094173571 "40" 2 212 1 184.589126255622 "41" 1 210 1 206.092917826875 "42" 2 216 1 211.559926903417 "43" 2 210 1 178.262804900708 "44" 2 220 1 210.05316105109 "45" 1 208 1 152.775078790933 "46" 2 216 1 194.09404876815 "47" 2 234 1 272.11171067677 "48" 1 218 1 208.326630990308 "49" 1 226 1 235.528356610527 "50" 1 220 1 229.98178228155

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