Question
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.
- Compute and comment on the correlation between naepread and escaleds.
- 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?
- A linear regression between naepread and escaleds. Let naepread be the dependent (response) variable and escaleds be the independent (predictor) variable.
- Draw the regression line in the scatter plot and paste the plot below.
- 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.
- Report the predicted model.
naepread=
- 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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